Literature cited
V. N. Abdullin, “Symmetric Riemann spaces V4,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 2, 3–12 (1971).
N. N. Adamushko, “Geometry of simple and quasisimple Lie groups of class G2,” Uch. Zap. Mosk. Obl. Ped. Inst.,253, 23–42 (1969).
M. A. Akivis, “On canonic expansions of the equations of a local analytic quasigroup,” Dokl. Akad. Nauk SSSR,188, No. 5, 967–970 (1969).
D. V. Alekseevskii, “Compact quaternion spaces,” Funktsional'. Analiz i Ego Prilozhen.,2, No. 2, 11–20 (1968).
D. V. Alekseevskii, “Quaternion Riemann spaces with a transitive reductive or solvable motion group,” Funktsional'. Analiz i Ego Prilozhen.,4, No. 4, 68–69 (1970).
D. V. Alekseevskii, “Conjugacy of polar expansions of Lie groups,” Matem. Sb.,84, No. 1, 14–26 (1971).
S. J. Ališauskas, V. V. Vanagas, and A. P. Jucys, “Connection between isoscalar factors and transformation matrices of unitary group representations,” Dokl. Akad. Nauk SSSR,197, No. 4, 804–805 (1971).
S. J. Ališauskas and A. P. Jucys, “On the Clebsch-Gordan coefficients of symmetric representations of groups SUn,” Dokl. Akad. Nauk SSSR,177, No. 1, 61–64 (1967).
E. M. Andreev, “On convex polytopes in Lobachevskii spaces,” Matem. Sb.,81, No. 3, 445–478 (1970).
E. M. Andreev, “On convex polytopes of finite volume in a Lobachevskii space,” Matem. Sb.,83, No. 2, 256–260 (1970).
E. M. Andreev, É. B. Vinberg, and A. G. Élashvili, “Orbits of large dimension of semisimple linear Lie groups,” Funktsional'. Analiz i Ego Prilozhen,1, No. 4, 3–7 (1967).
E. M. Andreev and V. L. Popov, “On the stationary semigroups of points in general position in the representation space of a semisimple Lie group,” Funktsional'. Analiz i Ego Prilozhen.,5, No. 4, 1–8 (1971).
L. P. Andreeva and L. V. Shestyreva, “Limit symplectic spaces,” Uch. Zap. Kolomensk. Ped. Inst.,8, 23–44 [1964(1965)].
S. Araki, “Root systems and local classification of irreducible symmetric spaces,” Matematika (Periodic Collection of Translations of Foreign Articles),10, No. 1, 90–126 (1966).
V. I. Arnol'd “One-dimensional cohomologies of the Lie algebra of divergence-free vector fields and on the rotation numbers of dynamic systems,” Funktsional'. Analiz i Ego Prilozhen.,3, No. 4, 77–78 (1969).
A. G. Aslanyan and V. I. Burenkov, “Derivation of the Campbell-Baker formula by a differentiation with respect to a parameter,” Tr. Mosk. Inst. Radiotekhn., Élektron. i Avtomatiki, No. 52, 8–11 (1971).
V. V. Astrakhantsev, “Pseudo-Riemann symmetric spaces with a commutative homology group,” Matem. Sb.,90, No. 2, 288–305 (1973).
D. N. Akhiezer, “On the cohomologies of compact complex homogeneous spaces,” Matem. Sb.,84, No. 2, 290–300 (1971).
D. N. Akhiezer, “On the cohomologies of compact complex homogeneous spaces. II,” Matem. Sb.,87, No. 4, 587–593 (1972).
I. A. Baltag, “Infinite series of Fedorov groups on a pseudo-Euclidean plane,” in: Investigations on General Algebra, No. I [in Russian], Kishinev (1968), pp. 3–11.
I. A. Baltag, “Two-dimensional pseudo-Euclidean Fedorov groups containing singular transformations,” in: Investigations on General Algebra, No. I [in Russian], Kishinev (1968), pp. 12–22.
I. V. Bel'ko, “Subgroups of the Lorentz-Poincaré group,” Vestsi Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 1, 5–13 (1971).
I. V. Bel'ko and A. S. Fedenko, “Subgroups of Lorentz groups,” Dokl. Akad. Nauk BSSR,14, No. 5, 393–395 (1970).
F. A. Berezin and F. I. Karpelevich, “Lie algebras with a positive structure,” Matem. Sb.,77, No. 2, 201–221 (1968).
F. A. Berezin and G. I. Kats, “Lie groups with commuting and anticommuting parameters,” Matem. Sb.,82, No. 3, 343–359 (1970).
I. N. Bernshtein, I. M. Gel'fand, and S. I. Gel'fand, “Lattice of representations generated by vectors of highest weight,” Funktsional'. Analiz i Ego Prilozhen.,5, No. 1, 1–9 (1971).
I. N. Bernshtein and B. I. Rozenfel'd, “On the characteristic classes of foliations,” Funktsional'. Analiz i Ego Prilozhen.,6, No. 1, 68–69 (1972).
M. Ya. Blinkin, “On the indecomposability of Borel manifolds,” Matem. Sb.,88, No. 3, 442–446 (1972).
A. Borel, “Fundamental sets of arithmetic groups,” Matematika (Periodic Collection of Translations of Foreign Articles),9, No. 1, 127–139 (1965).
A. Borel, “Fundamental sets of arithmetic groups and automorphic forms,” Matematika (Periodic Collection of Translations of Foreign Articles),12, No. 4, 80–103 (1968).
A. Borel, “Fundamental sets of arithmetic groups and automorphic forms,” Matematika (Periodic Collection of Translations of Foreign Articles),12, No. 5, 34–90 (1968).
A. Borel, “Fundamental sets of arithmetic groups and automorphic forms,” Matematika (Periodic Collection of Translations of Foreign Articles),12, No. 6, 3–30 (1968).
M. V. Vasil'eva, “Higher subgroups of infinite Lie-Cartan groups,” Tr. Geometr. Seminara, Inst. Nauchn. Inform. Akad. Nauk SSSR,2, 81–93 (1969).
B. Yu. Veisfeiler, “On one class of unipotent subgroups of semisimple algebraic groups,” Uspekhi Matem. Nauk,21, No. 2, 222–223 (1966).
B. Yu. Veisfeiler, “Infinite-dimensional filtered Lie algebras and their connection with graded Lie algebras,” Funktsional'. Analiz i Ego Prilozhen.,2, No. 1, 94–95 (1968).
É. B. Vinberg, “Structure of the automorphism group of a homogeneous convex cone,” Tr. Mosk. Matem. Obshch.,13, 56–83 (1965).
É. B. Vinberg, “Discrete groups, generated by reflections, in Lobachevskii spaces,” Matem. Sb.,72, No. 3, 471–488 (1967).
É. B. Vinberg, “Correction to the article ‘Discrete groups, generated by reflections, in Lobachevskii spaces’,” Matem. Sb.,73, No. 2, 308 (1967).
É. B. Vinberg, “Invariant norms in compact Lie algebras,” Funktsional'. Analiz i Ego Prilozhen.,2, No. 2, 89–90 (1968).
É. B. Vinberg, “Some examples of crystallographic groups in Lobachevskii spaces,” Matem. Sb.,78, No. 4, 633–639 (1969).
É. B. Vinberg, “Geometric representations of Coxeter groups,” Uspekhi Matem. Nauk,25, No. 2, 267–268 (1970).
É. B. Vinberg, “Discrete linear groups generated by reflections,” Izv. Akad. Nauk SSSR, Ser. Matem.,35, No. 5, 1072–1112 (1971).
É. B. Vinberg, “On the unit groups of certain quadratic forms,” Matem. Sb.,87, No. 1, 18–36 (1972).
É. B. Vinberg and S. G. Gindikin, “Kähler manifolds admitting of a transitive solvable automorphism group,” Matem. Sb.,74, No. 3, 357–377 (1967).
É. B. Vinberg and V. G. Kats, “Quasihomogeneous cones,” Matem. Zametki,1, No. 3, 347–354 (1967).
É. B. Vinberg and A. L. Onishchik, Seminar on Algebraic Groups and Lie Groups, 1967/68 [in Russian], Moscow (1969), 230 pp.
R. V. Vosilyus, “On the theory of invariant affine connections on Lie groups,” Liet. Matem. Rinkinys,7, No. 1, 29–34 (1967).
R. V. Vosilyus, “On one class of invariant affine connections on Lie groups,” Liet. Matem. Rinkinys,8, No. 4, 699–726 (1968).
R. V. Vosilyus, “On connections on Lie groups,” Liet. Matem. Rinkinys,10, No. 4, 705–725 (1970).
R. V. Vosilyus and A. Dreimanas, “On the geometry of homogeneous spaces,” Liet. Matem. Rinkinys,11, No. 4, 773–782 (1971).
I. M. Gel'fand and D. A. Kazhdan, “Certain aspects of differential geometry and the computation of the cohomologies of Lie algebras of vector fields,” Dokl. Akad. Nauk SSSR,200, No. 2, 269–272 (1971).
I. M. Gel'fand and A. A. Kirillov, “On division rings connected with the enveloping algebras of Lie algebras,” Dokl. Akad. Nauk SSSR,167, No. 3, 503–505 (1966).
I. M. Gel'fand and A. A. Kirillov, “On the structure of the division ring of relations of an enveloping algebra of a semisimple Lie algebra,” Dokl. Akad. Nauk SSSR,180, No. 4, 775–777 (1968).
I. M. Gel'fand and A. A. Kirillov, “Structure of a Lie division ring connected with a semisimple splittable Lie algebra,” Funktsional'. Analiz i Ego Prilozhen.,3, No. 1, 7–26 (1969).
I. M. Gel'fand and D. B. Fuks, “Topology of noncompact Lie groups,” Funktsional'. Analiz i Ego Prilozhen.,1, No. 4, 33–45 (1967).
I. M. Gel'fand and D. B. Fuks, “Cohomologies of Lie groups with real coefficients,” Dokl. Akad. Nauk SSSR,176, No. 1, 24–27 (1967).
I. M. Gel'fand and D. B. Fuks, “Topological invariants of noncompact Lie groups, connected with infinite-dimensional representations,” Dokl. Akad. Nauk SSSR,177, No. 4, 762–766 (1967).
I. M. Gel'fand and D. B. Fuks, “Cohomologies of the Lie algebra of tangent vector fields of a smooth manifold,” Funltsional'. Analiz. i Ego Prilozhen.,3, No. 3, 32–52 (1969).
I. M. Gel'fand and D. B. Fuks, “Cohomologies of the Lie algebra of tangent vector fields of a smooth manifold,” Funktsional'. Analiz i Ego Prilozhen.,4, No. 2, 23–31 (1970).
I. M. Gel'fand and D. B. Fuks, “Cohomologies of the Lie algebras of vector fields with nontrivial coefficients,” Funktsional'. Analiz i Ego Prilozhen.,4, No. 3, 10–25 (1970).
I. M. Gel'fand and D. B. Fuks, “Upper bounds for the cohomologies of infinite-dimensional Lie algebras,” Funktsional'. Analiz i Ego Prilozhen,4, No. 4, 70–71 (1970).
I. M. Gel'fand and D. B. Fuks, “On cycles representing the cohomology classes of the Lie algebra of formal vector fields,” Uspekhi Matem. Nauk,25, No. 5, 239–240 (1970).
I. M. Gel'fand and D. B. Fuks, “Cohomologies of the Lie algebra of formal vector fields,” Izv. Akad. Nauk SSSR, Ser. Matem.,34, No. 2, 322–337 (1970).
V. W. Guillemin, D. Quillen, and S. Sternberg, “The classification of irreducible complex algebras of finite type,” Matematika (Periodic Collection of Translations of Foreign Articles),12, No. 6, 63–66 (1968).
A. I. Golubyatnikov, “Lie subgroups of a Lorentz group with a finite group component,” Dokl. Akad. Nauk SSSR,186, No. 3, 503–505 (1969).
A. I. Golubyatnikov and V. V. Lokhin, “Tensor invariants of subgroups of the Lorentz group,” Dokl. Akad. Nauk SSSR,187, No. 2, 249–251 (1969).
L. V. Goncharova, “On the cohomologies of Lie algebras of vector fields on algebraic curves,” Uspekhi Matem. Nauk,27, No. 1, 243–244 (1972).
V. V. Gorbatsevich, “Discrete subgroups of solvable Lie groups of type (E),” Matem. Sb.,85, No. 2, 238–255 (1971).
S. M. Gusein-Zade, “Fixed points of the U-actions of a circle,” Uspekhi Matem. Nauk,26, No. 4, 250 (1971).
K. Doan, “Poincaré polynomials of compact homogeneous Riemann spaces with an irreducible stationary group,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 14 [in Russian], Moskovsk. Univ., Moscow (1968), pp. 33–93.
V. I. Evseev, “Affine connection in a homogeneous space of logarithmic spirals,” Proc. Semin. Geom. Dept., No. 6 [in Russian], Kazansk. Univ., Kazan (1971), pp. 36–40.
L. E. Evtushik, “Differential connections and infinitesimal transformations of the extended pseudogroup,” Tr. Geometr. Seminara, Inst. Nauchn. Inform. Akad. Nauk SSSR,2, 119–150 (1969).
D. P. Zhelobenko, Compact Lie Groups and Their Representations [in Russian], Nauka, Moscow (1970), 664 pp.
I. A. Zhigulin, “On certain orbit classes for the group of triangular matrices with unities on the main diagonal,” Uch. Zap. Mosk. Gos. Ped. Inst. im. V. I. Lenina, No. 271, 269–284 (1967).
I. A. Zhigulin, “On the orbit classification problem for the group of triangular unit matrices,” in: On the Problems of Mathematical Analysis and of Function Theory [in Russian], Stavropol' (1968), pp. 119–129.
G. A. Zaitsev, “Representation of classical simple Lie algebras by an associative algebra of a quantified fermion field,” in: Gravitation and the Theory of Relativity, Nos. 4–5 [in Russian], Kazansk. Univ., Kazan (1968), pp. 157–163.
S. L. Zimont and N. Ya. Mar'yashkin, “Matrix elements of an irreducible representation of the finite rotation group of a three-dimensional space,” in: Algorithms and Algorithmic Language, No. 5 [in Russian], Vychisl. Tsentr Akad. Nauk SSSR, Moscow (1971), pp. 24–28.
A. Jonušauskas, “Existence of invariant Finsler metrics in homogeneous spaces with a linear isotropy group of tensor type. II,” Liet. Matem. Rinkinys,7, No. 4, 619–631 (1967).
A. Jonušauskas, “On certain properties of the geodesic lines of invariant affine connections in homogeneous spaces,” Liet. Matem. Rinkinys,9, No. 2, 387 (1969).
D. A. Kazhdan, “On the connection of the dual space of a group with the lattice of its closed subgroups,” Funktsional'. Analiz i Ego Prilozhen.,1, No. 1, 71–74 (1967).
D. A. Kazhdan and G. A. Margulis, “Proof of Selberg's conjecture,” Matem. Sb.,75, No. 1, 163–168 (1968).
I. L. Kantor, “Transitive-differential groups and invariant connections on homogeneous spaces,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 13 [in Russian], Moskovsk. Univ., Moscow (1966), pp. 310–398.
I. L. Kantor, “Nonlinear groups of transformations defined by the general norms of Jordan algebras,” Dokl. Akad. Nauk SSSR,172, No. 4, 779–782 (1967).
I. L. Kantor, “On infinite-dimensional simple graded Lie algebras,” Dokl. Akad. Nauk SSSR,179, No. 3, 534–537 (1968).
I. L. Kantor, “General norm of a Jordan algebra and the geometry of certain transformation groups,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 14 [in Russian], Moskovsk. Univ., Moscow (1968), pp. 114–143.
I. L. Kantor, “Graded Lie algebras,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Physics., No. 15 [in Russian], Moskovsk. Univ., Moscow (1970), pp. 227–266.
I. L. Kantor, “Some generalizations of Jordan algebras,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 16 [in Russian], Moskovsk. Univ., Moscow (1972), pp. 407–499.
I. L. Kantor, A. I. Sirota, and A. S. Solodovnikov, “One class of symmetric spaces with a splittable group of motions and a generalization of Poincarés model,” Dokl. Akad. Nauk SSSR,173, No. 3, 511–514 (1967).
F. I. Karpelevich, “Geometry of geodesics and the eigenfunctions of the Beltrami-Laplace operator on symmetric spaces,” Tr. Mosk. Matem. Obshch.,14, 48–185 (1965).
A. P. Kartashev, Maximal Primitive Subpseudogroups of Simple Infinite Transitive Pseudogroups [in Russian], All-Union Institute of Scientific and Technical Information (VINITI), Moscow (1968), 14 pp.
A. P. Kartashev, “On maximal subpseudogroups of an infinite symplectic pseudogroup,” Vestn. Mosk. Univ., Matem., Mekhan., No. 3, 41–51 (1968).
A. P. Kartashev, “Maximal subpseudogroups of simple infinite transitive pseudogroups,” Tr. Geometr. Seminara, Inst. Nauchn. Inform. Akad. Nauk SSSR,2, 151–159 (1969).
V. G. Kats, “Simple graded Lie algebras of finite growth,” Funktsional'. Analiz i Ego Prilozhen.,1, No. 4, 82–83 (1967).
V. G. Kats, “Graded Lie algebras and symmetric spaces,” Funktsional'. Analiz i Ego Prilozhen.,2, No. 2, 93–94 (1968).
V. G. Kats, “Simple irreducible graded Lie algebras of finite growth,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 6, 1223–1367 (1968).
V. G. Kats, “Finite-order automorphisms of semisimple Lie algebras,” Funktsional'. Analiz i Ego Prilozhen.,3, No. 3, 94–96 (1969).
V. G. Kats, “Algebraic definition of compact Lie groups,” Tr. Mosk. Inst. Élektron. Mashinostr., No. 5, 34–47 [1969(1970)].
V. G. Kats, “Some properties of contragradient algebras,” Tr. Mosk. Inst. Élektron. Mashinostr., No. 5, 48–59 [1969(1970)].
V. G. Kats, “Global Cartan pseudogroups and simple Lie algebras in characteristic p,” Uspekhi Matem. Nauk,26, No. 3, 199–200 (1971).
B. N. Kimel'fel'd, “Homogeneous domains on a conformal sphere,” Matem. Zametki,8, No. 3, 321–328 (1970).
A. U. Klimyk, “On the multiplicities of weights of representations and the multiplicities of representations of semisimple Lie algebras,” Dokl. Akad. Nauk SSSR,177, No. 5, 1001–1004 (1967).
A. U. Klimyk, “Lattice of irreducible representations of leading vector of semisimple Lie algebras,” Dopovidi Akad. Nauk Ukrainsk. SSR,A, No. 11, 1001–1004 (1968).
A. U. Klimyk, “Decomposition of representations with highest weight of a semisimple Lie algebra into representations of a regular subalgebra,” Matem. Zametki,8, No. 6, 703–710 (1970).
A. T. Kondrat'ev, “General homogeneous spaces of paths A3 (x, x) with affine motion groups G5,” Ukrain. Geometr. Sb., No. 8, 76–87 (1970).
V. S. Konyukh, “On solvable subgroups of a symplectic group,” Vestsi Akad. Nauk BSSR, Ser. Fiz.-Matem. Nauk, No. 5, 5–8 (1969).
V. G. Kopp, “On groups of infinitesimal rotations of k-dimensional Euclidean and Lorentz spaces,” Uch. Zap. Kazansk. Univ.,128, No. 3, 31–42 (1968).
V. G. Kopp, “On subgroups of rotations groups of Lorentz spaces,” in: Gravitation and the Theory of Relativity, No. 6 [in Russian], Kazansk. Univ., Kazan (1969), pp. 52–59.
B. Kostant, “Formula for multiplicity of weight,” Matematika (Periodic Collection of Translations of Foreign Articles),6, No. 1, 133–152 (1962).
A. I. Kostrikin and I. R. Shafarevich, “Graded Lie algebras in finite characteristic,” Izv. Akad. Nauk SSSR, Ser. Matem.,33, No. 2, 251–322 (1969).
G. F. Kushner, “On one compactification of noncompact symmetric Riemann spaces,” Dokl. Akad. Nauk SSSR,190, No. 6, 1282–1285 (1970).
A. G. Kushnirenko, “Analytic action of a semisimple Lie group in a neighborhood of a fixed point is equivalent to a linear one,” Funktsional'. Analiz i Ego Prilozhen.,1, No. 1, 103–104 (1967).
A. G. Kushnirenko, “Action of a solvable Lie group in a neighborhood of a fixed point,” Uspekhi Matem. Nauk,25, No. 2, 273–274 (1970).
M. Kyiv, “Multiplicities of weights of representations of groups A2 and B2,” Tr. Inst. Fiz. i Astron. Akad. Nauk Eston. SSR, No. 33, 111–114 (1967).
Gen-dao Li, “On Weyl groups of real semisimple Lie algebras and their applications to the classification of maximal solvable subalgebras to within inner conjugacy,” Acta Math. Sinica,16, No. 1, 70–86 (1966).(See [459] below.)
I. M. Lizin and L. A. Shelepin, “Matrix elements of irreducible representations of a de Sitter group,” Teor. i Matem. Fiz.,11, No. 1, 69–77 (1972).
M. V. Losik, “On linear connections on surfaces of a homogeneous space,” Memoirs Young Scientists Saratov Univ., Math. and Mech. [in Russian], Saratov (1969), pp. 65–70.
M. V. Losik, “On the cohomologies of infinite-dimensional Lie algebras of vector fields,” Funktsional'. Analiz i Ego Prilozhen.,4, No. 2, 43–53 (1970).
M. V. Losik, “On the cohomologies of a Lie algebra of vector fields with coefficients in a trivial unit representation,” Funktsional'. Analiz i Ego Prilozhen.,6, No. 1, 24–36 (1972).
Ya. Kh. Lykhmus, “Some remarks on singular contractions of Lie groups,” ENSV Tead. Akad. Toimetised. Füüs. Mat.,17, No. 1, 128–129 (1968).
Ya. Kh. Lykhmus, “Contractions of symplectic groups,” ENSV Tead. Akad. Toimetised. Füüs. Mat.,17, No. 4, 479–481 (1968).
Ya. Kh. Lykhmus, “Limit (contracted) Lie groups,” Second Summer School on Problems in the Theory of Elementary Particles, Otepya, Aug. 1967, Part 4 [in Russian], Tartu (1969), 132 pp.
Ya. Kh. Lykhmus, “Simplest contractions of nonassociative algebras,” ENSV Tead. Akad. Toimetised. Füüs. Mat.,20, No. 2, 213–215 (1971).
V. S. Makarov, “On one class of discrete groups of Lobachevskii space, having an infinite fundamental domain of finite measure,” Dokl. Akad. Nauk SSSR,167, No. 1, 30–33 (1966).
V. S. Makarov, “On one class of two-dimensional Fedorov groups,” Izv. Akad. Nauk SSSR, Ser. Matem.31, No. 3, 531–542 (1967).
V. S. Makarov, “On Fedorov groups of four-dimensional and five-dimensional Lobachevskii spaces,” in: Investigations on General Algebra, No. I [in Russian], Kishinev (1968), pp. 120–129.
I. G. Macdonald, “Affine root systems and Dedekind'sη-function,” Matematika (Periodic Collection of Translations of Foreign Articles),16, No. 4, 3–49 (1972). (See [470] below.)
O. V. Manturov, “Homogeneous Riemann spaces with an irreducible rotation group,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 13 [in Russian], Moskovsk. Univ., Moscow (1966), pp. 68–145.
O. V. Manturov, “On the Poincaré polynomials of certain homogeneous Riemann spaces,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 14 [in Russian], Moskovsk. Univ., Moscow (1968), pp. 20–32.
O. V. Manturov, “Geometric models of vector bundles over compact homogeneous spaces,” Dokl. Akad. Nauk SSSR,201, No. 2, 273–276 (1971).
O. V. Manturov, “On the theory of vector bundles over compact homogeneous spaces,” Dokl. Akad. Nauk SSSR,202, No. 5, 1004–1007 (1972).
G. A. Margulis, “Discrete subgroups of real semisimple Lie groups,” Matem. Sb.,80, No. 4, 600–615 (1969).
G. A. Margulis, “On the problem of the arithmeticity of discrete groups,” Dokl. Akad. Nauk SSSR,187, No. 3, 518–520 (1969).
G. A. Margulis, “Isometricity of closed manifolds of constant negative curvature with a like fundamental group,” Dokl. Akad. Nauk SSSR,192, No. 4, 736–737 (1970).
G. A. Margulis, “On the action of unipotent groups in a lattice space,” Matem. Sb.,86, No. 4, 552–556 (1971).
L. M. Markhashov, “Three-parameter Lie groups adjacent to Galilei and Euclidean groups,” Prikl. Matem. i Mekhan.,35, No. 2, 278–289 (1971).
A. S. Mishchenko, “Integrals of geodesic flows on Lie groups,” Funktsional'. Analiz i Ego Prilozhen.,4, No. 3, 73–77 (1970).
V. F. Molchanov, “On the problem of computing the multiplicity of a weight,” Teor. i Matem. Fiz.,8, No. 2, 251–254 (1971).
G. M. Mubaranzyanov, “Some theorems on solvable Lie algebras,” Izv. Vyssh. Uchevn. Zavedenii, Matematika, No. 6, 95–98 (1966).
R. O. Nazaryan, “On the decomposition of certain simple real Lie groups,” Aikakan SSR Gitutyunneri Akademia, Zekuitsner,53, No. 4, 199–202 (1971).
Hai Nguyen-van, “Noncompact symmetry groups and the unitary S-matrix,” in: High-Energy Physics and the Theory of Elementary Particles [in Russian], Naukova Dumka, Kiev (1967), pp. 263–274.
A. Nikolov, “Casimir operators for the group O(n),” Izv. Fiz. Inst, c ANEB,18, 17–27 (1969).
A. Nikolov, “On a complete collection of commuting operators for the group O (n),” Izv. Fiz. Inst. c ANEB,18, 29–35 (1969).
M. E. Novodvorskii, “On certain motion groups of noncompact nonsingular symmetric spaces of rank 1,” Matem. Sb.,75, No. 2, 235–240 (1968).
E. L. Nol'de, “Nonnegative eigenfunctions of the Beltrami-Laplace operator on symmetric spaces with a complex semisimple motion group,” Uspekhi Matem. Nauk,21, No. 5, 260–261 (1966).
A. L. Onishchik, “On Lie groups transitive on compact manifolds,” Matem. Sb.,71, No. 4, 483–494 (1966).
A. L. Onishchik, “On Lie groups transitive on compact manifolds. II,” Matem. Sb.,74, No. 3, 398–416 (1967).
A. L. Onishchik, “On Lie groups transitive on compact manifolds. III,” Matem. Sb.,75, No. 2, 255–263 (1968).
A. L. Onishchik, “On homogeneous vector bundles,” Uspekhi Matem. Nauk,24, No. 3, 231–232 (1969).
A. L. Onishchik, “Decomposition of reductive Lie groups,” Matem. Sb.,80, No. 4, 553–599 (1969).
A. L. Onishchik, “Lie groups transitive on the Grassmann and Stiefel manifolds,” Matem. Sb.,83, No. 3, 407–428 (1970).
A. M. Perelomov and V. S. Popov, “Casimir operators for semisimple Lie groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 6, 1368–1390 (1968).
V. L. Popov, “Criterion for the stability of the action of a semisimple group on a factorial manifold,” Izv. Akad. Nauk SSSR, Ser. Matem.,34, No. 3, 523–531 (1970).
I. I. Pyatetskii-Shapiro, “Arithmetic groups in complex domains,” Uspekhi Matem. Nauk,19, No. 6, 93–121 (1964).
I. I. Pyatetskii-Shapiro, “The geometry and the classification of bounded homogeneous domains,” Uspekhi Matem. Nauk,20, No. 2, 3–51 (1965).
I. I. Pyatetskii-Shapiro, “Discrete subgroups of Lie groups (dedicated to the 60th anniversary of A. O. Gel'fond),” Tr. Mosk. Matem. Obshch.,18, 3–18 (1968).
B. Z. Raishtein, “On Lie algebras of one class,” Uch.Zap. Yaroslav. Gos. Ped. Inst., No. 61, 104–106 (1967).
P. K. Rashevskii, “On the real cohomologies of homogeneous spaces,” Uspekhi Matem. Nauk,24, No. 3, 23–90 (1969).
P. K. Rashevskii, “Tensors with a given invariance group and spherical functions on homogeneous spaces,” Tr. Mosk. Matem. Obshch.,20, 83–110 (1969).
P. K. Rashevskii, “On global projective models of complex homogeneous spaces,” Tr. Mosk. Matem. Obshch.,25, 3–14 (1971).
P. K. Rashevskii, “On the connection of the set of points of a Lie group, fixed under an automorphism of it,” Funktsional'. Analiz i Ego Prilozhen.,6, No. 4, 97–98 (1972).
V. N. Reshetnikov, “On the cohomologies of two algebras of vector fields on circles,” Uspekhi Matem. Nauk,26, No. 1, 231–232 (1971).
V. N. Reshetnikov, “Cohomologies of a Lie algebra of vector fields on manifolds vanishing at a given point,” Uspekhi Matem. Nauk,27, No. 1, 251–252 (1972).
A. A. Rivilis, “Homogeneous locally-symmetric domains in a conformal space,” Dokl. Akad. Nauk SSSR,184, No. 3, 558–561 (1969).
A. A. Rivilis, “Homogeneous locally-symmetric domains in a conformal space,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 6, 96–105 (1970).
A. A. Rivilis, “Homogeneous locally-symmetric domains in homogeneous spaces associated with semisimple Jordan algebras,” Matem. Sb.,82, No. 3, 409–422 (1970).
A. L. Rozenberg, “Duality theorems for Lie groups and algebras,” Uspekhi Matem. Nauk,26, No. 6, 253–254 (1971).
B. A. Rozenfel'd, I. M. Brik, N. I. Orekhova, and A. S. Panfilova, “Base symmetric spaces of dual extensions of real simple Lie groups,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 6, 70–77 (1971).
B. A. Rozenfel'd and M. P. Zamakhovskii, “Simple and quasisimple Jordan algebras,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 8, 111–121 (1971).
B. A. Rozenfel'd and L. M. Karpova, “Limit Lie groups,” Uch. Zap. Kolomensk. Ped. Inst.,8, 8–22 [1964(1965)].
B. A. Rozenfel'd and L. M. Karpova, “Flag groups and contractions of Lie groups,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 13 [in Russian], Moskovsk. Univ., Moscow (1966), pp. 168–202.
B. I. Rozenfel'd, “On one-dimensional cohomologies of a Lie algebra of contact vector fields,” Funktsional'. Analiz i Ego Prilozhen.,4, No. 2, 91–92 (1970).
B. I. Rozenfel'd, “Cohomologies of certain infinite-dimensional Lie algebras,” Funktsional'. Analiz i Ego Prilozhen.,5, No. 4, 84–85 (1971).
A. N. Rudakov, “Automorphism groups of infinite-dimensional simple Lie algebras,” Izv. Akad. Nauk SSSR, Ser. Matem.,33, No. 4, 748–764 (1969).
Yu. B. Rumer and A. I. Fet, Theory of Unitary Symmetry [in Russian], “Nauka,” Moscow (1970), 400 pp.
T. L. Rybakova, “On certain special automorphisms of graded Lie algebras,” Uch. Zap. Yaroslavsk. Gos. Ped. Inst., No. 64 (1969).
T. L. Rybakova, “Certain automorphisms of graded Lie algebras,” Uch. Zap. Yaroslavsk. Gos. Ped. Inst.,83, 102–108 (1971).
L. V. Sabinin, “On the principal invomorphisms of Lie algebras,” Dokl. Akad. Nauk SSSR,175, No. 1, 31–33 (1967).
L. V. Sabinin, “On involutive sums of Lie algebras,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 14 [in Russian], Moskovsk. Univ., Moscow (1968), pp. 94–113.
L. V. Sabinin, “Principal invomorphisms of compact Lie algebras,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 15 [in Russian], Moskovsk. Univ., Moscow (1970), pp. 188–226.
L. V. Sabinin, “Homogeneous Riemann spaces with (n−1)-dimensional mirrors,” in: Certain Boundary-Value Problems for Ordinary Differential Equations [in Russian] (1970), pp. 116–126.
L. V. Sabinin, “Reductive spaces with an absolute projective connection,” in: Certain Boundary-Value Problems for Ordinary Differential Equations [in Russian] (1970), pp. 127–139.
L. V. Sabinin, “On the classification of trisymmetric spaces,” Dokl. Akad. Nauk SSSR,194, No. 3, 518–520 (1970).
É. T. Samsonadze, “Character of an irreducible representation of the orthogonal Lie algebra D3,” Sakartvelos SSR Metsnierebata Akademiis Moambe,62, No. 2, 273–275 (1971).
É. T. Samsonadze, “On the dependency between the characters of irreducible representations of the symplectic Lie algebra Cn and the orthogonal Lie algebra Dn,” Sakartvelos SSR Metsnierebata Akademiis Moambe,63, No. 3, 537–540 (1971).
A. Selberg, “A recent development in the theory of discrete motion groups of symmetric spaces,” Matematika (Periodic Collection of Translations of Foreign Articles),26, No. 4, 72–89 (1972).
I. N. Semenova, “Limit projective spaces,” Uch. Zap. Kolomensk. Ped. Inst.,8, 165–174 [1964(1965)].
V. I. Semyanistyi, “Symmetric domains and Jordan algebras,” Dokl. Akad. Nauk SSSR,190, No. 4, 788–791 (1970).
J.-P. Serre, Lie Algebras and Lie Groups [Russian translation], Mir, Moscow (1969), 375 pp.
J.-P. Serre, “Cohomologies of discrete groups,” Matematika (Periodic Collection of Translations of Foreign Articles),15, No. 5, 3–6 (1971).
V. T. Simoniya, “On the characters of representations of orthogonal groups,” Uch. Zap. Yugo-Osetinsk. Gos. Ped. Inst., Ser. Fiz.-Matem. i Biol. Nauki,13, 25–36 (1968).
A. I. Sirota, “Classification of real simple Lie groups (in the large),” Uch. Zap. Mosk. Gos. Ped. Inst., No. 243, 345–365 (1965).
A. I. Sirota, “Simple subgroups of simply-connected simple real Lie groups,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 14 [in Russian], Moskovsk. Univ., Moscow (1968), pp. 3–19.
P. T. Smelov, “On one class of the maximal Lie algebras of transformations, connected with Jordan algebras,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 15 [in Russian], Moskovsk. Univ., Moscow (1970), pp. 267–278.
G. A. Sokolik, “Spinor representations of inhomogeneous groups,” in: Problems in the Theories of Gravitation and of Elementary Particles, No. 3 [in Russian], Atomizdat, Moscow (1970), pp. 15–24.
N. A. Stepanov, “On the reductivity of factor spaces generated by endomorphisms of Lie groups,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 2, 74–79 (1967).
N. A. Stepanov, “Basic facts in the theory ofϕ-spaces,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 3, 88–95 (1967).
N. A. Stepanov, “Homogeneous 3-cyclic spaces,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 12, 65–74 (1967).
N. A. Stepanov, “ϕ-spaces in the case of a general linear group,” Izv. Vyssh. Uchebn. Zavedenii, Matematika, No. 3, 70–79 (1972).
D. A. Suprunenko, “On the theory of solvable linear groups,” Dokl. Akad. Nauk SSSR,184, No. 1, 47–50 (1969).
Hui-min Tao, “Maximal nonsemisimple subalgebras of noncompact real semisimple Lie algebras,” Acta Math. Sinica,16, No. 2, 253–268 (1966). (see [646] below.)
N. N. Tret'yakova, “Generating functions for the matrix elements of irreducible unitary representations of the rotation group SO (n) of an n-dimensional space,” Vestsi Akad. Nauk BSSR, Ser. Fiz.-Matem. Nauk, No. 3, 40–41 (1969).
A. S. Fedenko, “On limit groups and homogeneous spaces,” Proc. II Repub. Conf. Belorussian Mathematicians [in Russian], Belorussk. Univ., Minsk (1969), pp. 144–146.
A. S. Fedenko, “Homogeneousϕ-spaces and spaces with symmetries,” Vestn. Belorussk. Univ., Ser. I, No. 2, 25–30 (1972).
A. T. Fomenko, “Real cohomologies of certain homogeneous spaces,” in: Abstract of Reports at the Scientific Conference of Young Scientists of Moscow State University [in Russian], Moskovsk. Univ., Moscow (1968), pp. 20–22.
A. T. Fomenko, “Certain cases of realization of the elements of homotopic groups of homogeneous spaces of fully-geodesic spheres,” Dokl. Akad. Nauk SSSR,190, No. 4, 792–795 (1970).
A. T. Fomenko, “Poincaré polynomials of certain homogeneous spaces,” Proc. Semin. Vector and Tensor Anal. with Appl. to Geom., Mech., and Phys., No. 15 [in Russian], Moskovsk. Univ., Moscow (1970), pp. 128–152.
D. Khadzhiev, “Description of closed orbits and of the closures of nonclosed orbits in the irreducible representations of the Lorentz group,” Dokl. Akad. Nauk Uzbek. SSR, No. 12, 3–6 (1966).
D. Khadzhiev, “Certain aspects of the theory of vector invariants,” Matem. Sb.,72, No. 3, 420–435 (1967).
D. Khadzhiev, “On an integral rational base in algebras of invariants of irreducible representations of the rotation group of a three-dimensional space,” Nauchn. Tr. Tashkentsk. Univ., No. 316, 257–270 (1968).
M. Hamermesh, Group Theory and Its Application to Physical Problems, Addison-Wesley Publ. Co., Reading, Mass. (1962), 509 pp.
Sen Ch'iu, “On the classification of complex and real solvable Lie algebras,” Huadong Shida Xuebao, No. 1, 99–116 (1965).
O. V. Shvartsman, “On the discrete arithmetic subgroups of complex Lie groups,” Matem. Sb.,77, No. 4, 542–544 (1968).
O. V. Shvartsman, “Linear representations of groups generated by reflections,” Matem. Sb.,82, No. 3, 494–498 (1970).
A. P. Shirokov, “On symmetric spaces defined by fourth-order commutative algebras,” Uch. Zap. Kazansk. Univ.,126, No. 1, 60–68 (1966).
A. G. Elashvili, “On the spectra of semisimple linear Lie groups,” Sakartvelos SSR Metsnierebata Akademiis Moambe,57, No. 3, 529–532 (1970).
A. G. Elashvili, “Canonic form and stationary subalgebras of points in general position for simple linear Lie groups,” Funktsional'. Analiz i Ego Prilozhen.,6, No. 1, 51–62 (1972).
A. G. Elashvili, “Stationary subalgebras of points of common position for irreducible linear Lie groups,” Funktsional'. Analiz i Ego Prilozhen.,6, No. 2, 65–78 (1972).
V. G. Yaichintsyn, “Casimir operators of the unitary group U (n),” Vestn. Kievsk. Politekhn. Inst., Ser. Radioelektron., No. 6, 145–147 (1969).
H. Abels, “Über die Erzeugung von eigentlichen Transformationsgruppen,” Math. Z.,103, No. 5, 333–357 (1968).
H. Abels, “Über eigentliche Transformationsgruppen,” Math. Z.,110, No. 1, 75–100 (1969).
J. F. Adams, Lectures on Lie Groups, Benjamin, New York (1969), 182 pp.
V. K. Agrawala and J. G. Belinfante, “Weight diagrams for Lie group representations. A computer implementation of Freudenthal's Algorithm in ALGOL and FORTRAN,” BIT (Sver.),9, No. 4, 301–314 (1969).
V. K. Agrawala and J. G. Belinfante, “An algorithm for computing SU (n) invariants,” BIT (Sver.),11, No. 1, 1–15 (1971).
R. H. Albert, “Computer-calculated explicit forms for representations of the three-dimensional pure rotation group,” Proc. Cambridge Phil. Soc.,65, No. 1, 107–110 (1969).
S. J. Ališauskas and A. P. Jucys, “Weight lowering operators and the multiplicity-free isoscalar factors for the group R5,” J. Math. Phys.,12, No. 4, 594–605 (1971).
H. P. Allen and J. C. Ferrar, “Jordan algebras and exceptional subalgebras of the exceptional algebra E6,” Pacif. J. Math.,32, No. 2, 283–297 (1970).
C. M. Andersen, “Clebsch-Gordan series for symmetrized tensor products,” J. Math. Phys.,8, No. 5, 988–997 (1967).
S. Araki, “Hopf structures attached to K-theory: Hodgkin's theorem,” Ann. Math.,85, No. 3, 508–525 (1967).
S. Araki, “Primitive invariants and conjugate classes of fundamental representations of a compact simply-connected Lie group,” Mich. Math. J.,14, No. 1, 29–32 (1967).
R. Arens, “Hamiltonian structures for homogeneous spaces,” Commun. Math. Phys.,21, No. 2, 125–138 (1971).
F. Aribaud, “Une nouvelle démonstration d'un théorème de R. Bott et B. Kostant,” Bull. Soc. Math. France,95, No. 3, 205–242 [1967(1968)].
V. Arnold, “Sur lé géometrie différentielle des groupes de Lie de dimension infinite et ses applications a l'hydrodynamique des fluides parfaits,” Ann. Inst. Fourier,16, No. 1, 319–361 (1966).
H. Asano, “A remark on the Coxeter-Killing transformations of finite reflection groups,” Yokohama Math. J.,15, No. 2, 45–49 (1967).
H. Asano, “On the irreducibility of homogeneous convex cones,” J. Fac. Sci., Univ. Tokyo, Sec. 1,15, No. 2, 201–208 (1968).
M. F. Atiyah, “On the K-theory of compact Lie groups,” Topology,4, No. 1, 95–99 (1965).
M. F. Atiyah and G. B. Segal, “Equivariant K-theory and completion,” J. Different. Geom.,3, No. 1, 1–18 (1969).
L. Auslander, “On the theory of solvmanifolds and generalization with applications to differential geometry,” in: Differential Geometry, Amer. Math. Soc., Providence, R. I. (1961), pp. 138–143.
L. Auslander and J. Brezin, “Almost algebraic Lie algebras,” J. Algebra,8, No. 3, 295–313 (1968).
L. Auslander and R. Tolimieri, “On a conjecture of G. D. Mostow and the structure of solvmanifolds,” Bull. Amer. Math. Soc.,75, No. 6, 1330–1333 (1969).
L. Auslander and R. Tolimieri, “Splitting theorems and the structure of solvmanifolds,” Ann. Math.,92, No. 1, 164–173 (1970).
H. Bacry, Lecons sur la Théorie des Groupes et les Symétries des Particules Élementaires, Gordon and Breach, Paris-London-New York (1967), 449 pp.
H. Bacry, “Sur les généralisations relativistes des groupes dynamiques,” Colloq. Int. Centre Nat. Rech. Sci., No. 159, 71–76 (1968).
W. L. Baily, Jr. and A. Borel, “Compactification of arithmetic quotients of bounded symmetric domains,” Ann. Math.,84, No. 3, 442–528 (1966).
V. K. Balachandran, “On the uniqueness of the inner product topology in a semi-simple L*-algebra,” Topology,7, No. 3, 305–309 (1968).
V. K. Balachandran, “Simple system of roots in L*-algebras,” Trans. Amer. Math. Soc.,130, No. 3, 513–524 (1968).
V. K. Balachandran, “Simple L*-algebras of classical type,” Math. Ann.,180, No. 3, 205–219 (1969).
W. Barth and M. Otte, “Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Manigfaltigkeiten,” Comment. Math. Helv.,44, No. 3, 269–281 (1969).
P. F. Baum, “Local isomorphism of compact connected Lie groups,” Pacif. J. Math.,22, No. 2, 197–204 (1967).
R. E. Beck, “Connections on semisimple Lie groups,” Trans. Amer. Math. Soc.,164, 453–460 (1972).
J. G. Belinfante and B. Kolman, “An introduction to Lie groups and Lie algebras, with applications. III. Computational methods and applications of representation theory,” SIAM Rev.,11, No. 4, 510–543 (1969).
G. Berendt, “Contraction of Lie algebras on the reversal problem,” Acta Phys. Austriaca,25, No. 3, 207–211 (1967).
L. C. Biedenharn, A. Giovannini, and J. D. Louck, “Canonical definition of Wigner coefficients in Un,” J. Math. Phys.,8, No. 4, 691–700 (1967).
L. C. Biedenharn and J. D. Louck, “A pattern calculus for tensor operators in the unitary groups,” Commun. Math. Phys.,8, No. 2, 89–131 (1968).
R. J. Blattner, “A theorem of Cartan and Guillemin,” J. Different. Geom.,5, Nos. 3–4, 295–305 (1971).
L. Boček, “Untermannigfaltigkeiten von homogenen Räumen,” Czech. Math. J.,21, No. 1, 1–4 (1971).
A. Borel, “Density and maximality of arithmetic subgroups,” J. Reine und Angew Math.,224, 78–89 (1966).
A. Borel, Introduction aux Groupes Arithmétiques, Paris (1969), 125 pp.
A. Borel, “Sous-groupes discrete de groupes semi-simples (d'apres D. A. Kajdan et G. A. Margoulis),” Lect. Notes Math., No. 179, 199–215 (1971).
W. M. Boothby, “Homogeneous complex contact manifolds,” in: Differential Geometry, Amer. Math. Soc., Providence, R. I. (1961), pp. 144–154.
R. Bott, “The periodicity theorem for the classical groups and some of its applications,” Adv. Math.,4, No. 3, 353–411 (1970).
N. Bourbaki, Groupes et Algé'bres de Lie. Ch. 4–6. Elements de Mathématiques, Fasc XXXIV, Hermann et Cie., Paris (1968), 288 pp.
G. E. Bredon, “Exotic actions on spheres,” Proc. Conf. Transform. Groups, 1967, Springer-Verlag, Berlin-Heidelberg-New York (1968), pp. 47–76.
G. E. Bredon, “The set of nonprincipal orbits of an action on En,” Proc. Amer. Math. Soc.,23, No. 2, 254–255 (1969).
W. Browder, “Homology rings of groups,” Amer. J. Math.,90, No. 1, 318–333 (1968).
R. B. Brown, “Groups of type E7,” J. Reine und Angew. Math.,236, 79–102 (1969).
M. Brunet and M. Resnikoff, “The representations ofU (4)⊃U (2)×U(2),” J. Math. Phys.,11, No. 4, 1474–1481 (1970).
C. Buttin, “Étude d'un cas d'isomorphisme d'une algěbre de Lie filtrée avec son algěbre graduée associée,” C. R. Acad. Sci. Paris,264, No. 11, A496-A498 (1967).
C. Buttin, “Les derivations des champs de tenseurs et l'invariant différentiel de Schouten,” C. R. Acad. Sci. Paris,269, No. 2, A87-A89 (1969).
C. Buttin, “Invariant de Schouten et groupes de Lie,” C. R. Acad. Sci. Paris,269, No. 25, A1208-A1210 (1969).
M. Cahen and M. Parker, “Sur les classes d'espaces pseudo-riemanniens symétriques,” Bull. Soc. Math. Belg.,22, No. 4, 339–354 (1970).
M. Cahen and N. Wallach, “Lorentzian symmetric spaces,” Bull. Amer. Math. Soc.,76, No. 3, 585–591 (1970).
E. Calabi, “On differentiable actions of compact Lie groups on compact manifolds,” Proc. Conf. Transform. Groups, 1967, Springer-Verlag, Berlin-Heidelberg-New York (1968), pp. 210–213.
J. E. Campbell, Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups, Bronx, N. Y. (1966), 416 pp.
R. Carroll, “Local forms of invariant differential operators,” Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis., Mat. e Natur.,48, No. 6, 566–571 (1970).
R. Carroll, “Local forms of invariant differential operators. I,” Ann. Mat. Pura ed Appl.,86, 189–215 (1970).
J. C. Carter and J. J. Coyne, “SU (6) Clebsch-Gordan coefficients for the product 35⊗70,” J. Math. Phys.,10, No. 7, 1204–1210 (1969).
U. Cattaneo, “Irreducible Lie algebra extensions of the Poincaré algebra. I. Extensions with Abelian kernels,” Commun. Math. Phys.,13, No. 3, 226–245 (1969).
U. Cattaneo, “Sliced extensions, irreducible extensions and associated graphs: an analysis of Lie algebra extensions. I,” J. Math. Phys.,13, No. 4, 504–518 (1972).
U. Cattaneo, “Sliced extensions, irreducible extensions and associated graphs: an analysis of Lie algebra extensions. II,” J. Math. Phys.,13, No. 4, 518–528 (1972).
I. Cattaneo-Gasparini, “Introduction d'une différentiation totale de Lie sur un espace homogène réductif,” C. R. Acad. Sci. Paris,272, No. 18, A1192-A1194 (1971).
A. Cerezo and F. Rouviěri, “Solution élémentaire d'un opérateur différentiel linéaire invariant à gauche sur un groupe de Lie réel compact et sur un espace homogěne réductif compact,” Ann. Sci. École Norm. Supér.,2, No. 4, 561–581 (1969(1970)).
M. O. Chacin, “Sur le prolongement: d'algěbres de Lie filtrées,” Thěse Doct. Math. Pures, Fac. Sci. Univ. Grenoble (1970), 47 pp.
E. Chacón, “Representation coefficients for the SU (3) group,” Rev. Mex. Fis.,17, No. 4, 315–325 (1968).
I. Chavel, “Isotropic Jacobi fields and Jacobi's equations on Riemannian homogeneous spaces,” Comment. Math. Helv.,42, No. 3, 237–248 (1967).
I. Chavel, “On normal Riemannian homogeneous spaces of rank 1,” Bull. Amer. Math. Soc.,73, No. 3, 477–481 (1967).
I. Chavel, “A class of Riemannian homogeneous spaces,” J. Different. Geom.,4, No. 1, 13–20 (1970).
I. Chavel, “On Riemannian symmetric spaces of rank one,” Adv. Math.,4, No. 3, 236–263 (1970).
I. Chavel, “On non-Riemannian sectional curvature in Riemannian homogeneous spaces,” Tôhoku Math. J.,23, No. 2, 169–172 (1971).
M. Chein, “Recherche des graphes des matrices de Coxeter hyperboliques d'ordre ≤10,” Rev. Franc. Inform, et Rech. Opér.,3, No. R-3, 3–16 (1969).
Su-shing Chen, “On Riemannian symmetric spaces of rank one and of classical type,” Doct. Diss., Univ. Maryland, College Park, Md. (1970), 80 pp; Diss. Abstrs. Int.,B31, No. 11, 6741 (1971).
M. P. Closs, “Homogeneous almost-tangent structures,” Proc. Amer. Math. Soc.,23, No. 2, 237–241 (1969).
C. W. Conatser, “Contractions of the low-dimensional real Lie algebras,” J. Math. Phys.,23, No. 2, 197–203 (1972).
L. Conlon, “Applications of affine root systems to the theory of symmetric spaces,” Bull. Amer. Math. Soc.,75, No. 3, 610–613 (1969).
L. Conlon, “Remarks on commuting involutions,” Proc. Amer. Math. Soc.,22, No. 1, 255–257 (1969).
L. Conlon, “Variational completeness and K-transversal domains,” J. Different. Geom.,5, Nos. 1–2, 135–147 (1971).
P. Cordero and G. C. Ghiradi, “Realizations of Lie algebras and the algebraic treatment of quantum problems,” Fortschr. Phys.,20, No. 2, 105–133 (1972).
J. F. Cornwell, “Isomorphisms between simple real Lie algebras,” Repts. Math. Phys.,2, No. 3, 153–163 (1971).
J. F. Cornwell, “The centralizer of a compact simple subgroup of a classical compact simple Lie group,” Repts. Math. Phys.,2, No. 4, 229–238 (1971).
J. F. Cornwell, “Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. II,” Repts. Math. Phys.,2, No. 4, 289–309 (1971).
J. F. Cornwell,”Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. III,” Repts. Math. Phys.,3, No. 2, 91–107 (1972).
H. S. M. Coxeter, “Finite groups generated by unitary reflections,” Abh. Math. Semin. Univ. Hamburg,31, Nos. 125–135 (1967).
M. Craioveanu, “Grupuri Lie-Banach de transformări ce lasă invariant un obiect geometric,” Stud. Si Cere. Mat. Acad. RSR,20, No. 6, 833–840 (1968).
M. Craioveanu, “Asupra unei clase de fibrari differentiabile,” An. Sti. Univ. Iasi, Sec. la,15, No. 2, 407–422 (1969).
A. van Daele, “On a certain class of semi-simple subalgebras of a semi-simple Lie algebra,” Ann. Inst. H. Poincaré,A13, 195–213 (1970).
V. S. Devi, “Bases for irreducible representations of the unitary group in the symplectic group chain,” J. Math. Phys.,11, No. 1, 162–168 (1970).
V. S. Devi, “Bases for representations of the unitary group in the rotation group chain,” Rev. Mex. Fis.,19, No. 1, 51–65 (1970).
V. S. Devi and L. S. R. K. Prasad, “State labeling of the irreducible representations of SUn,” J. Math. Phys.,9, No. 3, 384–385 (1968).
V. S. Devi and T. Venkatarayudu, “Bases for the representations of U4 in the chainU 4⊃U*2*U*2,” J. Math. Phys.,9, No. 7, 1057–1058 (1968).
V. S. Devi and T. Venkatarayudu, “Bases for the representations of U2n in the chainU*2n⊃U*n*U*n,” J. Math. Phys.,11, No. 1, 169–173 (1970).
A. Diaz-Miranda, “Idéaux de l'algèbre de Lie de champs de vecteurs hamiltoniens,” C. R. Acad. Sci. Paris,274, No. 12, A989-A992 (1972).
J. Dieudonné, “Representationes de grupos compactosy funciones esféricas,” Cursos y Semin. Mat. Univ. Buenos Aires, No. 14, Buenos Aires (1964), 236 pp.
J. Dixmier, “Sur les groupes de Lie resolubles a racines purement imaginaires,” Bull. Sci. Math.,90, Nos. 1–2, 5–16 (1966).
J. Dixmier, “Sur le centre de l'algèbre enveloppante d'une algèbre de Lie,” C. R. Acad. Sci. Paris,265, No. 15, A408-A410 (1967).
J. Dixmier, “Polarisations dans les algèbres de Lie,” Ann. Sci. École Norm. Supér.,4, No. 3, 321–335 (1971).
H. D. Doebner and T. D. Palev, “Realizations of Lie algebras through rational functions of canonical variables,” Acta Phys. Austr.,31, Suppl. No. 7, 597–609 (1970).
G. Domokos and G. L. Tindle, “On subalgebras which survive contraction,” Commun. Math. Phys.,7, No. 2, 160–163 (1968).
J. S. Dowker and M. Goldstone, “The geometry and algebra of the representations of the Lorentz group,” Proc. Roy. Soc.,A303, No. 1474, 381–396 (1968).
M. Duflo and M. Vergne, “Une propriéte de la représentation coadjointe d'une algěbre de Lie,” C. R. Acad. Sci. Paris,268, No. 11, A583-A585 (1969).
M. Duflo, “Caractěres des algěbres de Lie résolubles,” C. R. Acad. Sci. Paris,269, No. 12, A437-A438 (1969).
M. Duflo, “Représentations induites d'algèbres de Lie,” C. R. Acad. Sci. Paris,272, No. 18, A1157-A1158 (1971).
J. L. Dyer, “A nilpotent Lie algebra with nilpotent automorphism group,” Bull. Amer. Math. Soc.,76, No. 1, 52–56 (1970).
D. G. Ebin and J. E. Mardsen, “Group of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid,” Bull. Amer. Math. Soc.,75, No. 5, 962–967 (1969).
M. Eichler, “A new proof of the Baker-Campbell-Hausdorff formula,” J. Math. Soc. Jap.,20, Nos. 1–2, 23–25 (1968).
E. Eriksen, “Properties of higher-order commutator products and the Baker-Hausdorff formula,” J. Math. Phys.,9, No. 5, 790–796 (1968).
M. Flato and D. Sternheimer, “Sur l'unification des symétries interne et externe,” Colloq. Int. Centre Nat. Rech. Sci., No. 159, 47–60 (1968).
O. Fleischman and J. G. Nagel, “Double structure of a combined internal and space-time symmetry group and mass splitting,” J. Math. Phys.,8, No. 5, 1128–1134 (1967).
M. Florae, “Enveloppe presque algébrique d'une algébre de Lie,” C. R. Acad. Sci. Paris,272, No. 3, A207-A209 (1971).
J. Folkman, Equivariant Maps of Spheres into Classical Groups, Mem. Amer. Math. Soc., No. 95, Amer. Math. Soc., Providence, R. I. (1971), 42 pp.
C. Freifeld, “A conjecture concerning transitive subalgebras of Lie algebras,” Bull. Amer. Math. Soc.,76, No. 2, 331–333 (1970).
H. Freudenthal, “Lie groups in the foundations of geometry,” Adv. Math.,1, No. 2, 145–190 (1964).
H. Freudenthal, “Zweifache Homogenität und Symmetrie,” Proc. Kon. Ned. Akad. Wetensch.,A70, No. 1, 18–22; Indag. Math.,A29, No. 1, 18–22 (1967).
H. Freudenthal and H. de Vries, Linear Lie Groups, Academic Press, Inc., New York (1969), 547 pp.
H. Furstenberg, “Poisson boundaries and envelopes of discrete groups,” Bull. Amer. Math. Soc.,73, No. 3, 350–356 (1967).
H. Furstenberg, “Boundaries of Lie groups and discrete subgroups,” Actes Congr. Int. Mathématiciens, 1970, T. 2, Paris (1971), pp. 301–306.
A. Galindo, “Lie algebra extensions of the Poincaré algebra,” J. Math. Phys.,8, No. 4, 768–774 (1967).
H. Garland, “A rigidity theorem for discrete subgroups,” Trans. Amer. Math. Soc.,129, No. 1, 1–25 (1967).
H. Garland and W. C. Hsiang, “A square integrability criterion for the cohomology of arithmetic groups,” Proc. Nat. Acad. Sci. USA,59, No. 2, 354–360 (1968).
H. Garland and M. S. Raghunathan, “Fundamental domains for lattices in rank one semisimple Lie groups,” Proc. Nat. Acad. Sci. USA,62, No. 2, 309–313 (1969).
H. Garland, “Fundamental domains for lattices in (R)-rank 1 semisimple Lie groups,” Ann. Math.,92, No. 2, 279–326 (1970).
D. A. Gay, “On representations of the Weyl group,” Doct. Diss, Dartmouth College, Hanover, N. H. (1966), 98 pp; Diss. Abstrs.,B27, No. 3, 879 (1966).
O. George and M. Levy-Nahas, “Finite-dimensional representations of some non-semisimple Lie algebras,” J. Math. Phys.,7, No. 6, 980–988 (1966).
Gh. Gheorghiev, “Sur les groupes de Lie-Banach,” Rev. Roum. Math. Pures et Appl.,15, No. 10, 1611–1623 (1970).
R. Gilmore, “Spin representations of the orthogonal groups,” J. Math. Phys.,11, No. 6, 1853–1854 (1970).
S. G. Gindikin, I. I. Pyatetskii-Shapiro (Pjateckii-Šapiro), and É. B. Vinberg, “Homogeneous Kahler manifolds,” in: Geometry of Homogeneous Bounded Domains, Rome (1968), pp. 1–88.
R. C. Glaeser, “The centers of real simple Lie groups,” Doct. Diss. Univ. Pennsylvania, Philadelphia (1966), 52 pp; Diss. Abstrs.,B27, No. 10, 3595 (1967).
M. Golubitsky and B. Rothschild, “Primitive subalgebras of exceptional Lie algebras,” Pacif. J. Math.,39, No. 2, 371–393 (1971).
M. Golubitsky and B. Rothschild, “Primitive subalgebras of exceptional Lie algebras,” Bull. Amer. Math. Soc.,77, No. 6, 983–986 (1971).
M. Goto, “On an arcwise-connected subgroup of a Lie group,” Proc. Amer. Math. Soc.,20, No. 1, 157–162 (1969).
M. Goto, “A remark on a theorem of A. Weil,” Proc. Amer. Math. Soc.,20, No. 1, 163–165 (1969).
M. Goto, “Products of two one-parameter subgroups,” Proc. Amer. Math. Soc.,22, No. 2, 554 (1969).
M. Goto, “Orbits of one-parameter groups. I. Plays in a Lie algebra,” J. Math. Soc. Jap.,22, No. 2, 113–122 (1970).
M. Goto, “Orbits of one-parameter groups. II. Linear group case,” J. Math. Soc. Jap.,22, No. 2, 123–133 (1970).
M. Goto, “Orbits of one-parameter groups. III. Lie group case,” J. Math. Soc. Jap.,23, No. 1, 95–102 (1971).
M. Goto and E. T. Kobayashi, “On the subgroups of the centers of simply connected simple Lie groups. Classification of simple Lie groups in the large,” Osaka J. Math.,6, No. 2, 151–281 (1969).
P. J. Graham and L. A. Johnson, “Sur une classe des variétés riemanniennes ou affines,” C. R. Acad. Sci. Paris,267, No. 2, A105-A107 (1968).
A. Gray, “Kähler submanifolds of homogeneous almost-Hermitian manifolds,” Tôhoku Math. J.,21, No. 2, 190–194 (1969).
B. I. Gross, “Lie groups in the groups of formal power series,” Port. Math.,26, Nos. 1–2, 79–81 (1967).
F. Grosshans, “Real orthogonal representations of algebraic groups,” Trans. Amer. Math. Soc.,160, 343–352 (1971).
B. Gruber, “Relations between “Inner” and “Outer” multiplicities for the classical groups,” Ann. Inst. H. Poincaré, Sect. A,8, No. 1, 43–51 (1968).
B. Gruber and H. J. Weber, “On the construction of weight diagrams for SO (5), Sp(4) and G2,” Proc. Roy. Irish Acad.,A66, No. 3, 31–40 (1968).
B. Gruber and H. J. Weber, “Recurrence relation for Kostant's formula,” Proc. Roy. Irish Acad.,A70, No. 4, 27–32 (1970).
V. Guillemin, “A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras,” J. Different. Geom.,2, No. 3, 313–345 (1968).
V. Guillemin, “Infinite dimensional primitive Lie algebras,” J. Different. Geom.,4, No. 3, 257–282 (1970).
V. Guillemin, D. Quillen, and S. Sternberg, “The integrability of characteristics,” Commun. Pure and Appl. Math.,23, No. 1, 39–77 (1970).
V. Guillemin and S. Sternberg, “Remarks on a paper of Hermann,” Trans. Amer. Math. Soc.,130, No. 1, 110–116 (1968).
Y. Guivarc'h “Groupes de Lie à croissance polynomials,” C. R. Acad. Sci. Paris,271, No. 4, A237-A239 (1970).
Y. Guivarc'h, “Groupes de Lie à croissance polynomials,” C. R. Acad. Sci. Paris,272, No. 26, A1695–1696 (1971).
J. Hainzl, “Verallgemeinerung des II-Theorems mit Hilfe spezeiller Koordinaten in Lieschen Transformationsgruppen,” Arch. Ration. Mech. and Anal.,30, No. 4, 321–344 (1968).
G. G. Hall, Applied Group Theory, Longmans, London (1967), 128 pp.
G. Harder, Über einem Satz von E. Cartan,” Abh. Math. Semin. Univ. Hamburg,28, Nos. 3–4, 208–214 (1965).
P. de la Harpe, “Classification des L*-algèbras semi-simples reélles séparables,” C. R. Acad. Sci. Paris,272, No. 24, A1559-A1561 (1971).
P. de la Harpe, “L*-algébre simples et algèbres de Lie classiques d'opérateurs dans l'espace hilbertien,” C. R. Acad. Sci. Paris,274, No. 14, A-1096–A1098 (1972).
P. de la Harpe and R. Ramer, “Cohomologie scalaire des algébres de Lie classiques de type A d'opérateurs compacts,” C. R. Acad. Sci. Paris,273, No. 20, A882-A885 (1971).
P. de la Harpe and R. Ramer, “Polynômes invariants sur les algèbres de Lie banachiques complexes classiques d'opérateurs compacts dans l'espace hilbertien,” C. R. Acad. Sci. Paris,274, No. 10, A824-A827 (1972).
B. Harris, “The K-theory of a class of homogeneous spaces,” Trans. Amer. Math. Soc.,131, No. 2, 323–332 (1968).
M. Hausner and J. T. Schwartz, Lie Groups; Lie Algebras, Gordon and Breach, New York (1968), 229 pp.
I. Hayashi, “Embedding and existence theorems of infinite Lie algebra,” J. Math. Soc. Jap.,22, No. 1, 1–14 (1970).
G. C. Hegerfeldt, “Branching theorem for the symplectic groups,” J. Math. Phys.,8, No. 6, 1195–1196 (1967).
S. Helgason and K. Johnson, “The bounded spherical functions on symmetric spaces,” Adv. Math.,3, No. 4, 586–593 (1963).
K.-H. Helwig, “Jordan-Algebren und symmetrische Räume. I,” Math. Z.,115, No. 5, 315–349 (1970).
M.-R. Herman, “Simplicité du groupe de difféomorphismes de classe C∞, isotopes á l'identité, du tore de dimension n,” C. R. Acad. Sci. Paris,273, No. 4, A232-A234 (1971).
R. Hermann, Lie Groups for Physicists, W. A. Benjamin, New York-Amsterdam (1966), 193 pp.
R. Hermann, “Analytic continuation of group representations,” Commun. Math. Phys.,2, No. 4, 251–270 (1966).
R. Hermann, “Analytic continuation of group representations. II,” Commun. Math. Phys.,3, No. 1, 53–74 (1966).
R. Hermann, “Analytic continuation of group representations. III,” Commun. Math. Phys.,3, No. 2, 75–97 (1966).
R. Hermann, “Analytic continuation of group representations. IV,” Commun. Math. Phys.,5, No. 2, 131–156 (1967).
R. Hermann, “Analytic continuation of group representations. V,” Commun. Math. Phys.,5, No. 3, 157–190 (1967).
R. Hermann, “The formal linearization of a simple Lie algebra of vector fields about a singular point,” Trans. Amer. Math. Soc.,130, No. 1, 105–109 (1968).
R. Hermann, “Infinite dimensional Lie algebras and current algebra,” Lect. Notes Phys., No. 6, 312–337 (1970).
R. Hermann, “Geodesies and classical mechanics on Lie groups,” J. Math. Phys.,13, No. 4, 460–464 (1972).
U. Hirzerbruch, “Über Jordan-Algebran und beschränkte symmetrische Gebiete,” Math. Z.,94, No. 5, 387–390 (1966).
U. Hirzerbruch, “Über eine Klasse von Lie-Algebren,” J. Algebra,11, No. 3, 461–467 (1969).
U. Hirzerbruch, “Über eine Realisierung der hermiteschen, symmetrischen Räume,” Math. Z.,115, No. 5, 371–382 (1970).
G. Hochschild, “Complexification of real analytic groups,” Trans. Amer. Math. Soc.,125, No. 3, 406–413 (1966).
G. Hochschild, La Structure des Groupes de Lie, Dunod, Paris (1968), 254 pp.
G. Hochschild and G. D. Mostow, “On the algebra of representative functions of an analytic group. II,” Amer. J. Math.,86, No. 4, 869–887 (1964).
G. Hochschild and G. D. Mostow, “Complex analytic groups and Hopf algebras,” Amer. J. Math.,91, No. 4, 1141–1151 (1969).
L. Hodgkin, “On the K-theory of Lie groups,” Topology,6, No. 1, 1–36 (1967).
D. F. Holland, “Finite transformations and basis states of SU(n),” J. Math. Phys.,10, No. 10, 1903–1905 (1969).
W. J. Holman III, “Representation theory of SO (4, 1) and E (3, 1): an explicit spinor calculus,” J. Math. Phys.,10, No. 10, 1888–1896 (1969).
R. Hotta, “A remark on the Laplace-Beltrami operators attached to hermitian symmetric parts,” Osaka J. Math.,8, No. 1, 15–19 (1971).
Wu-Chung Hsiang, “Differentiable actions of compact connected Lie group on R¯n,” Actes Congr. Int. Mathématiciens, 1970, T. 2, Paris (1971), pp. 73–77.
Wu-Chung Hsiang and Wu-Yi Hsiang, “Differentiable actions of compact connected classical groups. I,” Amer. J. Math.,89, No. 3, 505–786 (1967).
Wu-Chung Hsiang, “Some problems in differentiable transformation groups,” Proc. Conf. Transform. Groups, 1967, Springer-Verlag, Berlin-Heidelberg-New York (1968), pp. 223–234.
Wu-Chung Hsiang and Wu-Yi Hsiang, “Differentiable actions of compact connected classical groups. II,” Ann. Math.,92, No. 2, 189–223 (1970).
Wu-Yi Hsiang, “On the compact homogeneous minimal submanifolds,” Proc. Nat. Acad. Sci. USA,56, No. 1, 5–6 (1966).
Wu-Yi Hsiang, “On the principal orbit type and P. A. Smith theory of SU(p)-actions,” Topology,6, No. 1, 125–135 (1967).
Wu-Yi Hsiang, “A survey on regularity theorems in differentiable compact transformation groups,” Proc. Conf. Transform. Groups, 1967, Springer-Verlag, Berlin-Heidelberg-New York (1968), pp. 77–124.
T. Inoue, “On isotropy algebras of a Lie algebra of vector fields which satisfies a certain convergence condition,” Osaka J. Math.,6, No. 1, 57–62 (1969).
M. Ise, “Realization of irreducible bounded symmetric domain of type. V,” Proc. Jap. Acad.,45, No. 4, 233–237 (1969).
M. Ise, “Realization of irreducible bounded symmetric domain of type. VI,” Proc. Jap. Acad.,45, No. 10, 846–849 (1969).
M. Ise, “On canonical realizations of bounded symmetric domains as matrix-spaces,” Nagoya Math. J.,42, 115–133 (1971).
N. Jacobson, Exceptional Lie Algebras, (Lect. Notes Pure and Appl. Math., No. 1), Marcel Dekker, New York (1971), 125 pp.
I. M. James, “On the homotopy theory of the classical groups,” An. Acad. Brasil Ciênc.,39, No. 1, 39–44 (1967).
K. Jänich, “On the classification of regular O (n)-manifolds in terms of their orbit bundles,” Proc. Conf. Transform. Groups, 1967, Springer-Verlag, Berlin-Heidelberg-New York (1968), pp. 135–142.
P. Jasselette, “Sur les coefficients de Clebsch-Gordan du groupe SU (3),” Bull. Soc. Roy. Sci. Liège,36, Nos. 11–12, 654–658 (1967).
G. R. Jensen, “Homogeneous Einstein spaces of dimension four,” J. Different. Geom.,3, No. 3, 309–349 (1969).
G. R. Jensen, “The scalar curvature of left-invariant Riemannian metrics,” Indiana Univ. Math. J.,20, No. 12, 1125–1144 (1971).
H. Kachi, “On the homotopy groups of rotation groups Rn,” J. Fac. Sci. Shinshu Univ.,3, No. 1, 13–33 (1968).
S. Kaneyuki, Homogeneous Bounded Domains and Siegel Domains, Lecture Notes in Mathematics, Vol. 241, Springer-Verlag, New York-Berlin-Heidelberg (1971), 89 pp.
S. Kaneyuki and M. Sudo, “On Silov boundaries of Siegel domains,” J. Fac. Sci., Univ. Tokyo, Sec. 1,15, No. 2, 131–146 (1968).
T. Kato and K. Motomiya, “A study on certain homogeneous spaces,” Tôhoku Math. J.,21, No. 1, 1–20 (1969).
N. Kemmer, D. L. Pursey, and S. A. Williams, “Irreducible representations of the five-dimensional rotation group,” J. Math. Phys.,9, No. 8, 1224–1230 (1968).
R. C. King, “The dimensions of irreducible tensor representations of the orthogonal and symplectic groups,” Can. J. Math.,23, No. 1, 176–188 (1971).
A. U. Klimyk, “Decomposition of representations with highest weight of semisimple Lie algebra into representations of regular subalgebra,” Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis., Mat. e Natur.,46, No. 2, 144–148 (1969).
W. H. Klink and G. J. Smith, “On the reduction of n-fold tensor product representations of noncompact groups,” Commun. Math. Phys.,10, No. 3, 231–244 (1968).
M. A. Knus, “On the enveloping algebra and the descending central series of a Lie algebra,” J. Algebra,12, No. 3, 335–338 (1969).
S. Kobayashi and T. Nagano, “On filtered Lie algebras and geometric structures. III,” J. Math. and Mech.,14, No. 4, 679–706 (1965).
R. M. Koch, “Pseudogroups associated with the one-dimensional foliation group,” J. Math. Soc. Jap.,23, No. 1, 149–180 (1971).
R. M. Koch, “Pseudogroups associated with the one-dimensional foliation group. II,” J. Math. Soc. Jap.,23, No. 2, 181–212 (1971).
M. Koecher, “Imbedding of Jordan algebras into Lie algebras. I,” Amer. J. Math.,89, No. 3, 787–816 (1967).
M. Koecher, “Gruppen und Lie-Algebren von rationalen Funktionen,” Math. Z.,109, No. 5, 349–392 (1969).
M. Koecher, “On bounded symmetric domains,” Rice Univ. Stud.,56, No. 2, 63–65 (1970).
B. Kostant and S. Rallis, “On orbits associated with symmetric spaces,” Bull. Amer. Math. Soc.,75, No. 4, 879–883 (1969).
B. Kostant and S. Rallis, “On representations associated with symmetric spaces,” Bull. Amer. Math. Soc.,75, No. 4, 884–888 (1969).
B. Kostant and S. Rallis, “Orbits and representations associated with symmetric spaces,” Amer. J. Math.,93, No. 3, 753–809 (1971).
J.-L. Koszul, “Formes harmoniques vectorielles sur les espaces localement symétriques,” in: Geometry of Homogeneous Bounded Domains, Rome (1968), pp. 197–260.
J.-L. Koszul, “Trajectoires convexes de groupes affines unimodulaires,” in: Essays on Topology and Related Topics, Springer-Verlag, Berlin-Heidelberg-New York (1970), pp. 105–110.
M. Krämer, “Über, das Verhalten endlicher Üntergruppen bei Darstellungen kompakter Liegruppen,” Invent. Math.,16, Nos. 1–2, 15–39 (1972).
G. V. Krishnarao, “Unstable homotopy of O(n),” Trans. Amer. Math. Soc.,127, No. 1, 90–97 (1967).
Hsu-Tung Ku and Mei-Chin Ku, “A simple proof of the maximal tori theorem of E. Cartan,” Proc. Conf. Transform. Groups, New Orleans, 1967, Springer-Verlag, Berlin-Heidelberg-New York (1968), pp. 346–348.
M. Kupczýnski, “On the generalized Saletan contractions,” Commun. Math. Phys.,13, No. 2, 154–162 (1969).
R. G. Laha, “Spherical functions on compact riemannian symmetric spaces,” Stud. Sci. Math. Hung.,6, Nos. 1–2, 63–65 (1971).
M. Lazard and J. Tits, “Domains d'injectivité de l'application exponentielle,” Topology,4, No. 4, 315–322 (1966).
A. J. Ledger, “Espaces de Riemann symétriques généralises,” C. R. Acad. Sci. Paris,264, No. 22, A947-A948 (1967).
Dong Hoon Lee, “On fixed points of a compact automorphism group,” Mich. Math. J.,17, No. 2, 175–178 (1970).
Dong Hoon Lee, “The adjoint group of Lie groups,” Pacif. J. Math.,32, No. 1, 181–186 (1970).
P. Le Maire, “Sur le groupe SO(3, 2) comme groupe de symétrie de l'espace temps,” C. R. Acad. Sci. Paris,270, No. 1, A80-A81 (1970).
J. Lepowsky, “Multiplicity formulas for certain semisimple Lie groups,” Bull. Amer. Math. Soc.,77, No. 4, 601–605 (1971).
J. A. Leslie, “On a differential structure for the group of diffeomorphisms,” Topology,6, No. 2, 263–271 (1967).
J. A. Leslie, “Two classes of classical subgroups of Diff (M),” J. Different. Geom.,5, Nos. 3–4, 427–435 (1971).
J. M. Lévy-Leblond, “La théorie des groupes d'invariance et les fondements de la mécanique classique,” Rend. Semin. Mat. Univ. e Politecn. Torino,28, 77–79 (1968–1969).
M. Levy-Nahas, “Deformation and contraction of Lie algebras,” J. Math. Phys.,8, No. 6, 1211–1222 (1967).
M. Levy-Nahas, “Déformations du groupe de Poincaré,” Colloq. Int. Centre Nat. Rech. Sci., No. 159, 25–45 (1968).
M. Levy-Nahas, “Two simple applications of the deformation of Lie algebras,” Ann. Inst. H. Poincaré,A13, No. 3, 221–227 (1970).
M. Levy-Nahas and R. Seneor, “First order deformations of Lie algebra representations. E (3) and Poincaré examples,” Commun. Math. Phys.,9, No. 3, 242–266 (1968).
K. J. Lezuo, “Weyl coefficients in SU (3),” J. Math. Phys.,8, No. 5, 1163–1170 (1967).
A. Lichnerowicz, “Sur les idéaux de l'algèbre de Lie des automorphismes d'une variété symplectique,” C. R. Acad. Sci. Paris,274, No. 21, A1494-A1498 (1972).
Gen-dao Li, “On Weyl groups of real semisimple Lie algebras and their application to the classification of maximal solvable subalgebras with respect to inner conjugation,” Chinese Math.,8, No. 1, 74–89 (1966), (See [114] above.)
O. Loos, “Spiegelungsräume und homogene symmetrische Räume,” Math. Z.,99, No. 2, 141–170 (1967).
O. Loos, “Reflexion spaces of minimal and maximal torsion,” Math. Z.,106, No. 1, 67–72 (1968).
O. Loos, Symmetric Spaces, Vols. 1, 2, Benjamin, New York (1969), Vol. 1, 198 pp; Vol. 2, 183 pp.
O. Loos, “Jordan triple systems, R-spaces, and bounded symmetric domains,” Bull. Amer. Math. Soc.,77, No. 4, 558–561 (1971).
O. Loos, “Kompakte Unterräume symmetrischer Räume,” Math. Z.,125, No. 3, 264–270 (1972).
F. Lowenthal, “Transitive subsemigroups of the Moebius group,” J. Math. and Mech.,18, No. 2, 173–189 (1968).
F. Lowenthal, “On subsemigroups of the projective group on the line,” Can. J. Math.,20, No. 4, 1001–1011 (1968).
F. Lowenthal, “On generating subgroups of the Moebius group by pairs of infinitesimal transformations,” Pacif. J. Math.,26, No. 1, 141–147 (1968).
D. Luna, “Sur l'intersection générique de deux sous-algèbres d'une algèbre de Lie,” Thèse Doct. Math. Pures Fac. Sci. Univ. Grenoble, Grenoble (1970), 44 pp.
A. T. Lundell, “Homotopy periodicity of the classical Lie groups,” Proc. Amer. Math. Soc.,18, No. 4, 683–690 (1967).
I. G. Macdonald, “Affine root systems and Dedekind'sη-function,” Invent. Math.,15, No. 2, 91–143 (1972). (See [126] above.)
A. Maduemezia, “Singular surfaces of n-dimensional Lie algebras under generalized Inönü-Wigner contraction,” Preprint No. 53, Internat. Centre Theor. Phys. Int. Atom. Energy Agency (1968), 15 pp.
R. A. A. Martins, “Théorème de réalisation pour les algèbres de Lie filtrées transitives,” C. R. Acad. Sci. Paris,270, No. 3, A192-A194 (1970).
Sh. Maruyama, “On orispherical subgroups of a semisimple Lie group,” Kodai Math. Semin. Repts.,20, No. 1, 12–17 (1968).
Sh. Maruyama, “Conjugate classes of orispherical subalgebras in real semisimple Lie algebras,” Kodai Math. Semin. Repts.,20, No. 1, 18–28 (1968).
I. Matei, “Classificarea grupurilor lui Lie reale neintegrabile cu cinci parametri,” Stud. Si Cerc. Mat. Acad. RSR,20, No. 2, 223–235 (1968).
I. Matei, “Asupra spatiilor A3 omogene cu grup Gp (p≤7),” Stud. Si Cerc. Mat. Acad. RSR,21, No. 1, 101–109 (1969).
M. Matsuda, “A note on the defining equation of a transitive Lie group,” Osaka J. Math.,8, No. 1, 19–32 (1971).
H. Matsumoto, “Quelques remarques sur les espaces riemanniens isotropes,” C. R. Acad. Sci. Paris,274, No. 4, A316-A319 (1972).
H. Matsumoto, “Sur un théorème de point fixe de E. Cartan,” C. R. Acad. Sci. Paris,274, No. 12, A955-A958 (1972).
Y. Matsushima, “A formula for the Betti numbers of compact locally symmetric Riemannian manifolds,” J. Different. Geom.,1, No. 2, 99–109 (1967).
Y. Matsushima and S. Murakami, “On certain cohomology groups attached to hermitian symmetric spaces. II,” Osaka J. Math.,5, No. 2, 223–241 (1968).
J. McConnell, “Properties of the exceptional G2-Lie group,” Proc. Roy. Irish Acad.,A66, No. 6, 79–92 (1968).
J. McConnell, “The general linear group GL(4) and the Lie group C2,” Proc. Roy. Irish Acad.,A68, No. 2, 5–32 (1969).
J. McConnell, “Graph theory of weight multiplicities,” Proc. Roy. Irish Acad.,A69, No. 5, 63–75 (1970).
M. L. Mehta and P. K. Srivastava, “Irreducible corepresentations of groups having a compact simple Lie group as a subgroup of index 2,” J. Math. Phys.,9, No. 9, 1375–1385 (1968).
K. Meyberg, “Jordan-Tripelsysteme und die Koecher-Konstruktion von Lie-Algebren,” Math. Z.,115, No. 1, 58–78 (1970).
L. Michel, “Introduction au colloque sur le groupe de Poincaré,” Colloq. Int. Centre Nat. Rech. Sci., No. 159, 13–14 (1968).
L. Michel, “Points critiques des fonctions invariants sur une G-variété,” C. R. Acad. Sci. Paris,272, No. 6, A433-A436 (1971).
B. Mielnik and J. Plebański, “Combinatorial approach to Baker-Campbell-Hausdorff exponents,” Ann. Inst. H. Poincaré,A12, No. 3, 215–254 (1970).
W. J. Miller, “A branching law for the symplectic groups,” Pacif. J. Math.,16, No. 2, 341–346 (1966).
W. Miller, Jr., Lie Theory and Special Functions, Academic Press, New York (1968), 338 pp.
F. Mimura, “Contraction of Lie algebra of the motion group of three dimensional Euclidean space,” Bull. Kyushu Inst. Technol. (Math. Natur. Sci.), No. 18, 17–35 (1971).
M. Mimura, “The homotopy groups of Lie groups of low rank,” J. Math. Kyoto Univ.,6, No. 2, 131–176 (1967).
M. Mimura and H. Toda, “Cohomology operations and the homotopy of compact Lie groups. I,” Topology,9, No. 4, 317–336 (1970).
R. Mirman, “Number of polynomial invariants of adjoint and fundamental compact inhomogeneous unitary algebras,” J. Math. Phys.,9, No. 1, 47–49 (1968).
R. Mirman, “Invariants and scalars of compact inhomogeneous unitary algebras,” J. Math. Phys.,9, No. 1, 39–46 (1968).
D. Montgomery, “Compact groups of transformations,” in: Differential Analysis, Oxford Univ. Press, London (1964), pp. 43–56.
D. Montgomery and C. T. Yang, “Differentiable pseudo-free circle actions,” Proc. Nat. Acad. Sci. USA,68, No. 5, 894–896 (1971).
R. V. Moody, “Lie algebras associated with generalized Cartan matrices,” Bull. Amer. Math. Soc.,73, No. 2, 217–221 (1967).
R. V. Moody, “A new class of Lie algebras,” J. Algebra,10, No. 2, 211–230 (1968).
R. V. Moody, “Euclidean Lie algebras,” Can. J. Math.,21, No. 6, 1432–1454 (1969).
R. V. Moody, “Simple quotients of Euclidean Lie algebras,” Can. J. Math.,22, No. 4, 839–846 (1970).
A. Morimoto, “On the classification of noncompact complea abelian Lie groups,” Trans. Amer. Math. Soc.,123, No. 1, 200–228 (1966).
M. Moskowitz, “A note on automorphisms of Lie algebras,” Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. e Natur.,51, Nos. 1–2, 1–4 (1971).
G. D. Mostow, “On the rigidity of hyperbolic space forms under quasiconformal mappings,” Proc. Nat. Acad. Sci. USA,57, No. 2, 211–215 (1967).
G. D. Mostow, “Representative functions on discrete groups and solvable arithmetic subgroups,” Amer. J. Math.,92, No. 1, 1–32 (1970).
G. D. Mostow, “Intersections of discrete subgroups with Cartan subgroups,” J. Indian Math. Soc.,34, Nos. 3–4, 203–214 (1970).
G. D. Mostow, “Some applications of representative functions to solvmanifolds,” Amer. J. Math.,93, No. 1, 11–32 (1971).
G. D. Mostow, “The rigidity of locally symmetric spaces,” Actes Congr. Int. Mathématiciens, 1970, T. 2, Paris (1971), pp. 187–197.
N. Mukunda, “Realizations of Lie algebras in classical mechanics,” J. Math. Phys.,8, No. 5, 1069–1072 (1967).
D. Mumford, “A remark on Mahler's compactness theorem,” Proc Amer. Math. Soc.,28, No. 1, 289–294 (1971).
U. Mutze, “On the Casimir operators associated with any Lie algebra,” Z. Phys.,229, Nos. 3–5, 224–229 (1969).
T. Nagano, “Linear differential systems with singularities and an application to transitive Lie algebras,” J. Math. Soc. Jap.,18, No. 4, 398–404 (1966).
J. G. Nagel, “Expansions of inhomogenizations of all the classical Lie algebras to classical Lie algebras,” Ann. Inst. H. Poincaré,A13, No. 1, 1–26 (1970).
S. Natarajan and K. Viswanath, “Quaternionic representations of compact metric groups,” J. Math. Phys.,8, No. 3, 582–589 (1967).
W. D. Neumann, “3-dimensional G-manifolds with 2-dimensional orbits,” Proc. Conf. Transform. Groups, 1967, Springer-Verlag, Berlin-Heidelberg-New York (1968), pp. 220–222.
Ngo van Quê, “On the classification of Lie pseudo-algebras,” Can. J. Math.,22, No. 5, 905–915 (1970).
B. M. Nguiffo, “Algèbres à associateur symétrique et algèbres de Lie réductives,” Thése Doct. Fac. Sci. Univ. Grenoble, Grenoble (1968), 40 pp.
Nguyen-van Hai, “Construction de l'algèbre de Lie des transformations infinitésimales affines sur un espace homogène à connexion linéaire invariante,” C. R. Acad. Sci. Paris,263, No. 23, A876-A879 (1966).
A. Nijenhuis and R. W. Richardson, Jr., “Cohomology and deformations in graded Lie algebras,” Bull. Amer. Math. Soc.,72, No. 1, Part 1, 1–29 (1966).
A. Nijerihuis and R. W. Richardson, Jr., “Deformations of homomorphisms of Lie groups and Lie algebras,” Bull. Amer. Math. Soc.,73, No. 1, 175–179 (1967).
A. Nijenhuis and R. W. Richardson, Jr., “Deformations of Lie algebra structures,” J. Math. and Mech.,17, No. 1, 89–105 (1967).
T. Nôno, “On the symmetry groups of simple materials: an application of the theory of Lie groups,” J. Math. Anal. and Appl.,24, No. 1, 110–135 (1968).
T. Nôno, “A classification of neutral technical changes. II. An application of Lie theory,” Bull. Fukuoka Univ. Educ. Nat. Sci.,21, 43–56 (1971).
T. Ochiai, “Transformation groups on Riemannian symmetric spaces,” J. Different. Geom.,3, No. 2, 231–236 (1969).
T. Ochiai, “Geometry associated with semisimple flat homogeneous spaces,” Trans. Amer. Math. Soc.,152, No. 1, 159–193 (1970).
K. Oguchi, “Homotopy groups of Sp (n)/Sp (n−2),” J. Fac. Sci. Univ. Tokyo, Sec. 1,16, No. 2, 179–201 (1969).
H. Omori, “A study of transformation groups on manifolds,” J. Math. Soc. Jap.,19, No. 1, 32–45 (1967).
H. Omori and P. de la Harpe, “Opération de groupe de Lie banachiques sur les variétés differentielles de dimension finie,” C. R. Acad. Sci. Paris,273, No. 9, A395-A397 (1971).
P. Orlik and F. Raymond, “Actions of the torus on 4-manifolds. I,” Trans. Amer. Math. Soc.,152, No. 2, 531–559 (1970).
H. Ozeki and M. Wakimoto, “On polarizations of certain homogeneous spaces,” Proc. Jap. Acad.,48, No. 1, 1–4 (1972).
S. S. Page, “A characterisation of rigid algebras,” J. London Math. Soc.,2, No. 2, 237–240 (1970).
S. S. Page and R. W. Richardson, Jr., “Stable subalgebras of Lie algebras and associative algebras,” Trans. Amer. Math. Soc.,127, No. 2, 302–312 (1967).
R. S. Palais “C1-actions of compact Lie groups on compact manifolds are C1-equivalent to C∞-actions,” Amer. J. Math.,92, No. 3, 748–760 (1970).
S. Ch. Pang and K. T. Hecht, “Lowering and raising operators for the orthogonal group in the chainO(n)⊃O(n−1)..., and their graphs,” J. Math. Phys.,8, No. 6, 1233–1251 (1967).
M. Parker, “Classes d'espaces pseudo-riemanniends symétriques de signature (2,n),” C. R. Acad. Sci. Paris,272, No. 13, A882-A884 (1971).
J. S. Pasternack, “Foliations and compact Lie group actions,” Comment. Math. Helv.,46, No. 4, 467–477 (1971).
M. Pauri and G. M. Prosperi, “Canonical realizations of the rotation group,” J. Math. Phys.,8, No. 11, 2256–2267 (1967).
M. Pauri and G. M. Prosperi, “Canonical realizations of Lie symmetry groups,” J. Math. Phys.,7, No. 2, 366–375 (1966).
M. Pease, “Application of Lie algebraic theory to microwave networks,” in: Advances in Microwaves, Vol. 1, Academic Press, New York-London (1966), pp. 285–317.
W. Pejas, Ein Beweis der qualitativen Aussage der Campbell-Hausdorff-Formel für analytische Gruppen,” Arch. Math.,19, No. 5, 453–456 (1968).
H. V. Pittie, “Homogeneous vector bundles on homogeneous spaces,” Topology,11, No. 2, 199–203 (1972).
R. D. Pollack, “Introduction to Lie algebras,” Queen's Pap. Pure and Appl. Math., No. 23, 1–264 (1969).
J. Pradines, “Théorie de Lie pour les groupoides différentiables. Relations entre propriétés locales et globales,” C. R. Acad. Sci. Paris,263, No. 25, A907-A910 (1966).
J. Pradines, “Théorie de Lie pour les groupoides différentiables. Calcul différentiel dans la catégorie des groupoides infinitésimaux,” C. R. Acad. Sci. Paris,264, No. 5, A245-A248 (1967).
J. Pradines, “Géometrie différentielle audessus d'un groupoide,” C. R. Acad. Sci. Paris,266, No. 25, A1194-A1196 (1968).
J. Pradines, “Troisième théorème de Lie pour les groupoides différentiables,” C. R. Acad. Sci. Paris,267, No. 1, A21-A23 (1968).
D. Radhakrishnan, “On the Clebsch-Gordan series of a semisimple Lie algebra,” J. Math. Phys.,9, No. 12, 2061–2063 (1968).
D. Radharkrishnan,”Internal multiplicity structure for the chainsc(n)⊃sc(n−1)⊃...⊃sc(2),” J. Math. Phys.,10, No. 12, 2129–2131 (1969).
D. Radhakrishnan and T. S. Santhanam, “Internal multiplicity structure and Clebsch-Gordan series for the exceptional group G(2),” J. Math. Phys.,8, No. 11, 2206–2207 (1967).
M. S. Raghunathan, “Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups,” Osaka J. Math.,3, No. 2, 243–256 (1966).
M. S. Raghunathan, “Cohomology of arithmetic subgroups of algebraic groups. I,” Ann. Math.,86, No. 3, 409–424 (1967).
M. S. Raghunathan, “A note on quotients of real algebraic groups by arithmetic subgroups,” Invent. Math.,4, No. 5, 318–335 (1968).
M. S. Raghunathan, “Cohomology of arithmetic subgroups of algebraic groups. II,” Ann. Math.,87, No. 2, 279–304 (1968).
M. S. Raghunathan, “Lattices in semisimple Lie groups,” Actes Congr. Int. Mathématiciens, 1970, T. 2, Paris (1971), pp. 337–341.
M. S. Raghunathan, Discrete Subgroups of Lie Groups, (Ergeb. Math., 68), Springer-Verlag, Berlin-Heidelberg-New York (1972), 227 pp.
K. G. Ramanathan, “Discontinuous groups. II,” Nachr. Akad. Wiss. Göttingen, II, Math.-Phys. Kl., No. 3, 145–164 (1964).
S. Ramanujam, “An application of Morse theory to certain symmetric spaces,” J. Indian Math. Soc.,32, Nos. 3–4, 243–275 [1968(1969)].
S. Ramanujam, “Application of Morse theory to some homogeneous spaces,” Tôhoku Math. J.,21, No. 3, 343–353 (1969).
S. Ramanujam, “Morse theory of certain symmetric spaces,” J. Different. Geom.,3, No. 2, 213–229 (1969).
S. Ramanujam, “Topology of classical groups,” Osaka J. Math.,6, No. 2, 243–249 (1969).
A. Ran, “Two-parameter groups of formal power series,” Trans. Amer. Math. Soc.,146, 349–368 (1969).
A. Ran, “Embedding theorems for two-parameter groups of formal power series and related problems,” Isr. J. Math.,9, No. 1, 73–92 (1971).
G. Rauch, “Remarque sur les constantes de structure des C-algèbres de Lie de dimension finie,” C. R. Acad. Sci. Paris,266, No. 6, A330-A332 (1968).
G. Rauch, “Variation d'algèbres de Lie résolubles,” C. R. Acad. Sci. Paris,269, No. 16, A685-A687 (1969).
G. Rauch, “Sur les variations du groupe de Poincaré,” J. Math. Pures et Appl.,50, No. 4, 351–362 (1971).
B. E. Reed, “Representations of solvable Lie algebras,” Mich. Math. J.,16, No. 3, 227–233 (1969).
R. W. Richardson, Jr., “On the rigidity of semi-direct products of Lie algebras,” Pacif. J. Math.,22, No. 2, 339–344 (1967).
R. W. Richardson, Jr., “A rigidity theorem for subalgebras of Lie and associative algebras,” Ill. J. Math.,11, No. 1, 92–110 (1967).
R. W. Richardson, Jr., “Conjugacy classes in Lie algebras and algebraic groups,” Ann. Math.,86, No. 1, 1–15 (1967).
R. W. Richardson, Jr., “On the variation of isotropy subalgebras,” Proc. Conf. Transform. Groups, New Orleans, 1967, Springer-Verlag, Berlin-Heidelberg-New York (1968), pp. 429–440.
R. W. Richardson, Jr., “Compact real forms of a complex semi-simple Lie algebra,” J. Different. Geom.,2, No. 4, 411–419 (1968).
R. W. Richardson, Jr., “Deformations of Lie subgroups,” Bull. Amer. Math. Soc.,77, No. 1, 92–96 (1971).
R. W. Richardson, Jr., “Principal orbit types for algebraic transformation spaces in characteristic zero,” Invent. Math.,16, Nos. 1–2, 6–16 (1972).
D. S. Rim, “Deformation of transitive Lie algebras,” Ann. Math.,83, No. 2, 339–357 (1966).
A. M. A. Rodrigues, “Sur le noyau d'un pseudo-groupe de Lie infinitésimal involutif transitif par rapport à une fibration invariante,” C. R. Acad. Sci. Paris,269, No. 24, A1154-A1155 (1969).
A. M. A. Rodrigues, “Sur le quotient d'un pseudo-groupe de Lie infinitésimal transitif involutif par une fibration invariante,” C. R. Acad. Sci. Paris,269, No. 25, A1211-A1213 (1969).
J. Rosen, “Mutually reciprocal ‘contraction’ and ‘expansion’ of certain Lie algebras,” Nuovo Cimento,B46, No. 1, 1–6 (1966).
S. P. Rosen, “Finite transformations in various representations of SU (3),” J. Math. Phys.,12, No. 4, 673–681 (1971).
L. P. Rothschild, “On the uniqueness of quasi-split real semisimple Lie algebras,” Proc. Amer. Math. Soc.,24, No. 1, 6–8 (1970).
L. P. Rothschild, “Invariant polynomials and conjugacy classes of real Cartan subalgebras,” Bull. Amer. Math. Soc.,77, No. 5, 762–764 (1971).
L. P. Rothschild, “Orbits in a real reductive Lie algebra,” Trans. Amer. Math. Soc.,168, 403–421 (1972).
A. Roux, “Application de la suite spectrale de Hodgkin au calcul de la K-théorie des variétés Stiefel,” C. R. Acad. Sci. Paris,272, No. 18, A1179-A1181 (1971).
P. J. Ryan, “Homogeneity and some curvature conditions for hypersurfaces,” Tôhoku Math. J.,21, No. 3, 363–388 (1969).
A. A. Sagle, “On anti-commutative algebras and homogeneous spaces,” J. Math. and Mech.,16, No. 12, 1381–1393 (1967).
A. A. Sagle, “A note on simple anti-commutative algebras obtained from reductive homogeneous spaces,” Nagoya Math. J.,31, 105–124 (1968).
A. A. Sagle, “A note on triple systems and totally geodesic submanifolds in a homogeneous space,” Nagoya Math. J.,32, 5–20 (1968).
A. A. Sagle, “On homogeneous spaces, holonomy, and non-associative algebras,” Nagoya Math. J.,32, 373–394 (1968).
A. A. Sagle, “Some homogeneous Einstein manifolds,” Nagoya Math. J.,39, 81–106 (1970).
A. A. Sagle and D. J. Winter, “On homogeneous spaces and reductive subalgebras of simple Lie algebras,” Trans. Amer. Math. Soc.,128, No. 1, 142–147 (1967).
E. J. Saletan, “Contraction of Lie groups,” J. Math. Phys.,2, No. 1, 1–22 (1961).
T. S. Santhanam, “Some remarks on the construction of invariants of semi-simple local Lie groups,” J. Math. Phys.,7, No. 10, 1886–1888 (1966).
T. S. Santhanam, “Generating functions of classical groups and evaluation of partition functions,” J. Math. Phys.,10, No. 9, 1704–1710 (1969).
R. M. Santille, “Imbedding of Lie algebras in nonassociative structures,” Nuovo Cimento,A51, No. 2, 570–576 (1967).
R. M. Santille, “An introduction to Lie-admissible algebras,” Nuovo Cimento Suppl.,6, No. 4, 1225–1249 [1968(1969)].
I. Satake, “A note on holomorphic imbeddings and compactification of symmetric domains,” Amer. J. Math.,90, No. 1, 231–247 (1968).
I. Satake, “Linear imbeddings of self-dual homogeneous cones,” Nagoya Math. J.,46, 121–145 (1972).
T. Satô, “On derivations of nilpotent Lie algebras,” Tôhoku Math. J.,17, No. 3, 244–249 (1965).
T. Satô, “The derivations of the Lie algebras,” Tôhoku Math. J.,23, No. 1, 21–36 (1971).
H. Scheerer, “Transitive actions on Hopf homogeneous spaces,” Manuscr. Math.,4, No. 2, 99–134 (1971).
J. H. Scheuneman, “Two-step nilpotent Lie algebras,” Doct. Diss. Purdue Univ., Lafayette, Ind. (1966), 60 pp; Dissert. Abstrs.,B27, No. 7, 2449 (1967).
J. H. Scheuneman, “Examples of compact locally affine spaces,” Bull. Amer. Math. Soc.,77, No. 4, 589–592 (1971).
J. R. Schue, “Hilbert space methods in the theory of Lie algebras,” Trans. Amer. Math. Soc.,95, No. 1, 69–80 (1960).
J. R. Schue, “Cartan decompositions for L* -algebras,” Trans. Amer. Math. Soc.,98, No. 2, 334–349 (1961).
G. Segal, “The representation ring of a compact Lie group,” Publ. Math. Inst. Hautes Études Sci., No. 34, 113–128 (1968).
J. Segercrantz, “On continuous subgroups of the proper Lorentz group,” Soumalias. Tiedeakat. Toimituks.,Ser.AVI, No. 233, 1–46 (1967).
J. Segercrantz, “Disconnected subgroups of certain transformation groups,” Soumalais. Tiedeakat. Toimituks., Ser.AVI, No. 283, 1–8 (1968).
J.-P. Serre, “Cohomologie des groupes discrets,” Ann. Math. Stud., No. 70, 77–169 (1971).
R. D. Shafer, “On the simplicity of the Lie algebras E7 and E8,” Proc. Kon. Ned. Acad. Wetensch.,A69, No. 1, 64–69 (1966); Indag. Math.,28, No. 1, 64#x2013;69 (1966).
M. M. Shahshahani, “Discontinuous subgroups of extensions of semisimple Lie groups,” Doct. Diss. Univ. Calif., Berkeley (1970), 34 pp.
R. A. Shapiro, “Pseudo-Hermitian symmetric spaces,” Comment. Math. Helv.,46, No. 4, 529–548 (1971).
R. Shaw, “The subgroup structure of the homogeneous Lorentz group,” Quart. J. Math.,21, No. 81, 101–124 (1970).
S. Shnider, “Classification of the real infinite simple and real infinite primitive Lie algebras,” Proc. Nat. Acad. Sci. USA,64, No. 2, 466–471 (1969).
S. Shnider, “The classification of real primitive infinite Lie algebras,” J. Different. Geom.,4, No. 1, 81–89 (1970).
J. de Siebenthal, “Sur certains modules dans une algèbre de Lie semi-simple,” Comment. Math. Helv.,44, No. 1, 1–44 (1969).
F. Sigrist, “Détermination des groupes d'homotopie π 2k+7 (U*h+m,m),” C. R. Acad. Sci. Paris,269, No. 22, A1061-A1062 (1969).
C. Simionescu, “Tensori armonici si forme spatiale ale grupurilor Lie,” An. Sti. Univ. Iasi, Sec. la,17, No. 1, 167–169 (1971).
A. Simoni, F. Zaccariu, and B. Vitale, “Dynamical symmetries as function groups on dynamical spaces,” Nuovo Cimento,A51, No. 2, 448–460 (1967).
I. M. Singer and S. Sternberg, “The infinite groups of Lie and Cartan. Part I. Transitive groups,” J. Anal. Math.,15, 1–114 (1965).
W. Slebodziński, “Sur deux groupes infinis et continus,” Zast. Mat.,10, 17–30 (1969).
W. Smoke, “Invariant differential operators,” Trans. Amer. Math. Soc.,127, No. 3, 460–494 (1967).
V. P. Snaith, “On the K-theory of homogeneous spaces and conjugate bundles of Lie groups,” Proc. Lond. Math. Soc.,22, No. 3, 562–584 (1971).
L. Solomon and V. Daya-Nard, “Sur le corps des quotients de l'algèbre enveloppante d'une algèbre de Lie,” C. R. Acad. Sci. Paris,264, No. 23, A985-A986 (1967).
K. Sprinivasacharyulu, “Topology of some Kähler manifolds,” Pacif. J. Math.,23, No. 1, 167–169 (1967).
K. Sprinivasacharyulu, “Topology of some Kähler manifolds. II,” Can. Math. Bull.,12, No. 4, 457–460 (1969).
E. M. Stein and G. Weiss, “Generalization of the Cauchy-Riemann equations and representations of the rotation group,” Amer. J. Math.,90, No. 1, 163–196 (1968).
D. Sternheimer, “Extensions et unifications d'algèbres de Lie,” J. Math. Pures et Appl.,47, No. 3, 247–287 (1968).
H. Stetkaer, “Invariant pseudo-differential operators,” Math. Scand.,28, No. 1, 105–123 (1971).
A. P. Stone, “Semisimple subgroups of semisimple groups,” J. Math. Phys.,11, No. 1, 29–38 (1970).
S. Ström, “Construction of representations of the inhomogeneous Lorentz group by means of contraction of representations of the (1+4) de Sitter group,” Arkiv. Fys.,30, No. 5, 455–472 (1965).
S. Ström, “On the contraction of representations of the Lorentz group to representations of the Euclidean group,” Arkiv. Fys.,30, No. 3, 267–281 (1965).
K. Sugita and M. Sugiura, “On a certain type of duality theorem,” Scient. Papers Coll. Gen. Educ. Univ. Tokyo,18, No. 2, 115–124 (1968).
M. Sugiura, “Some remarks on duality theorems of Lie groups,” Proc. Jap. Acad.,43, No. 10, 927–931 (1967).
A. Švec, “On the geometry of submanifolds in homogeneous spaces,” Mat. Cas.,17, No. 2, 146–166 (1967).
A. Švec, “Inner geometry of submanifolds of homogeneous spaces,” Czech. Math. J.,17, No. 3, 460–466 (1967).
A. Švec, “Deformations of submanifolds of homogeneous spaces,” Čac. Pěstov. Mat.,93, No. 1, 22–29 (1968).
S. Swierczkowski, “The path-functor on Banach-Lie algebras,” Proc. Kon. Ned. Akad. Wetensch.,A74, No. 3, 235–239 (1971); Indag. Math.,31, No. 3, 235–239 (1971).
M. Takeuchi, “On orbits in a compact hermitian symmetric space,” Amer. J. Math.,9, No. 3, 657–680 (1968).
M. Takeuchi, “On infinitesimal affine automorphisms of Siegel domains,” Proc. Jap. Acad.,45, No. 7, 590–594 (1969).
M. Takeuchi, “On the fundamental group of a simple Lie group,” Nagoya Math. J.,40, 147–159 (1970).
M. Takeuchi, “A remark on the character ring of a compact Lie group,” J. Math. Soc. Jap.,23, No. 4, 662–675 (1971).
S. J. Takiff, “Rings of invariant polynomials for a class of Lie algebras,” Trans. Amer. Math. Soc.,160, 249–262 (1971).
N. Tanaka, “On generalized graded Lie algebras and geometric structures. I,” J. Math. Soc. Jap.,19, No. 2, 215–254 (1967).
N. Tanaka, “On infinitesimal automorphisms of Siegel domains,” Proc. Jap. Acad.,45, No. 5, 335–338 (1969).
N. Tanaka, “On infinitesimal automorphisms of Siegel domains,” J. Math. Soc. Jap.,22, No. 2, 180–212 (1970).
Hui-min Tao, “The maximal nonsemisimple subalgebra of a noncompact real semisimple Lie algebra,” Chinese Math.,8, No. 2, 265–282 (1966).
H. Tilgner, “A class of solvable Lie groups and their relation to the canonical formalism,” Ann. Inst. H. Poincaré,A13, No. 2, 103–127 (1970).
H. Tilgner, “A class of Lie and Jordan algebras realized by means of the canonical commutation relations,” Ann. Inst. H. Poincaré,A14, No. 2, 179–188 (1971).
J. Tits, “Une classe d'algèbres de Lie en relation avec les algèbres de Jordan,” Proc. Kon Ned. Akad. Wetensch.,A65, No. 5, 530–535 (1962); Indag. Math.,24, No. 5, 530–535 (1962).
J. Tits, “Algèbres alternatives, algèbres de Jordan et algèbres de Lie exceptionnelles. I. Construction,” Proc. Kon. Ned. Akad. Wetensch.,A69, No. 2, 223–237 (1966); Indag. Math.,28, No. 2, 223–237 (1966).
J. Tits, “Sur les constantes de structure et le théorěme d'existence des algèbres de Lie semi-simples,” Pubis. Math. Inst. Hautes Études Scient., No. 31, 525–562 [1966(1967)].
S. Tôgô, “Dimensions of the derivation algebras of Lie algebras,” J. Sci. Hiroshima Univ., Ser. A, Div. 1,31, No. 1, 17–23 (1967).
S. Tôgô, “Outer derivations of Lie algebras,” Trans. Amer. Math. Soc.,128, No. 2, 264–276 (1967).
S. Tôgô, “On a class of Lie algebras,” J. Sci. Hiroshima Univ., Ser. A, Div. 1,32, No. 1, 55–83 (1968).
S. Tôgô, “Note on outer derivations of Lie algebras,” J. Sci. Hiroshima Univ., Ser. A, Div. 1,33, No. 1, 29–40 (1969).
R. Tolimieri, “Structure of solvable Lie groups,” J. Algebra,16, No. 4, 597–625 (1970).
R. Tolimieri, “Applications of the semisimple splitting,” Bull. Amer. Math. Soc.,77, No. 2, 275–280 (1971).
R. Tolimieri, “On the Selberg condition for subgroups of solvable Lie groups,” Bull. Amer. Math. Soc.,77, No. 4, 584–586 (1971).
G. Tomassini, “Complessificazione di un gruppo de Lie reale,” An. Scuola Norm. Super. Risa, Sci. Fis. e Mat.,22, No. 1, 101–106 (1968).
M. Umezawa, “Invariant quantities in simple groups B, C and D. I,” Proc. Kon. Ned. Akad. Wetensch.,B69, No. 5, 579–591 (1966).
M. Umezawa, “Invariant quantities in simple groups B, C and D. II,” Proc. Kon. Ned. Akad. Wetensch.,B69, No. 5, 592–606 (1966).
M. Umezawa, “Invariant quantities in simple groups B. C and D. III,” Proc. Kon. Ned. Akad. Wetensch.,B69, No. 5, 607–619 (1966).
M. Umezawa, “Invariant quantities in simple groups B, C and D. IV,” Proc. Kon. Ned. Akad. Wetensch.,B69, No. 5, 620–628 (1966).
I. Unsain, “Classification of the simple separable real L*-algebras,” Bull. Amer. Math. Soc.,77, No. 3, 462–466 (1971).
V. S. Varadarajan, “On the ring of invariant polynomials on a semisimple Lie algebra,” Amer. J. Math.,90, No. 1, 308–317 (1968).
F. D. Veldkamp, “Unitary groups in protective octave planes,” Compos. Math., s.a.,19, No. 3, 213–258 (1968).
M. Vergne, “Réductibilité de la variété des algèbres de Lie nilpotentes,” C. R. Acad. Sci. Paris,263, No. 1, A4-A6 (1966).
M. Vergne, “La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotent,” C. R. Acad. Sci. Paris,269, No. 20, A950-A952 (1969).
M. Vergne, “Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes,” Bull. Soc. Math. France,98, No. 2, 81–116 (1970).
M. Vergne, “Construction des sous-algèbres subordonnées à un élément du dual d'une algèbre de Lie résoluble,” C. R. Acad. Sci. Paris,270, No. 3, A173-A175 (1970).
M. Vergne, “Construction des sous-algèbres subordonnées à un élément du dual d'une algèbre de Lie résoluble,” C. R. Acad. Sci. Paris,270, No. 11, A704-A707 (1970).
M. Vergne and J. Wolf, “Existence de polarisations positives dans les algèbres de Lie,” C. R. Acad. Sci. Paris,274, No. 4, A299-A302 (1972).
J. Vey, “Sur les automorphismes affines des ouverts convexes dans les espaces numériques,” C. R. Acad. Sci. Paris,270, No. 4, A249-A251 (1970).
J. Vey, “Sur la division des domaines bornés,” C. R. Acad. Sci. Paris,270, No. 26, A1748-A1749 (1970).
J. Vey, “Sur les automorphismes affines des ouverts convexes saillants,” Ann. Scuola Norm. Super. Pisa, Sci. Fis. e Mat.,24, No. 4, 641–665 [1970(1971)].
J. Vey, “Sur la cohomologie de l'algèbre des champs de vecteurs sur une variété,” C. R. Acad. Sci. Paris,273, No. 19, A850-A852 (1971).
J. Voisin, “Energy balance and projective extensions of the Poincaré and the Galilei groups,” Bull. Soc. Roy. Sci. Liège,38, Nos. 1–2, 27–34 (1969).
G. G. Vrănceanu, “Nombres de Betti de certain groupes intégrables,” Rev. Roumaine Math. Pures et Appl.,14, No. 6, 859–876 (1969).
G. G. Vrănceanu, “La classification des structures des groupes continus G4 intégrables,” Rev. Roumaine Math. Pures et Appl.,14, No. 6, 877–883 (1969).
C. T. C. Wall, “Graded algebras, anti-involutions, simple groups and symmetric spaces,” Bull. Amer. Math. Soc.,74, No. 1, 198–202 (1968).
N. R. Wallach, “A classification of real simple Lie algebras,” Doct. Diss. Washington Univ., St. Louis Mo. (1966), 41 pp; Diss. Abstrs.,B27, No. 6, 2049 (1966).
N. R. Wallach, “On maximal subsystems of root systems,” Can. J. Math.,20, No. 3, 555–574 (1968).
N. R. Wallach, “Induced representations of Lie algebras and a theorem of Borel-Weil,” Trans. Amer. Math. Soc.,136, 181–187 (1969).
N. R. Wallach, “Induced representations of Lie algebras. II,” Proc. Amer. Math. Soc.,24, No. 1, 161–166 (1969).
N. R. Wallach, “Homogeneous positively pinched Riemannian manifolds,” Bull. Amer. Math. Soc.,76, No. 4, 783–786 (1970).
Hsien-Ching Wang, “Root systems and Abelian subgroups of compact Lie groups,” Proc. U.S.-Japan, Semin. Different. Geom., Kyoto, 1965, Tokyo, (1966), pp. 151–152.
Hsien-Ching Wang, “On a maximality property of discrete subgroups with fundamental domains of finite measure,” Amer. J. Math.,89, No. 1, 124–132 (1967).
Hsien-Ching Wang, “Discrete nilpotent subgroups of Lie groups,” J. Different. Geom.,3, No. 4, 481–492 (1969).
Kuo-Hsiang Wang, “Clebsch-Gordan series and the Clebsch-Gordan coefficients of O (2, 1) and SU(1, 1),” J. Math. Phys.,11, No. 7, 2077–2095 (1970).
S. P. Wang, “Limit of lattices in a Lie group,” Trans. Amer. Math. Soc.,133, No. 2, 519–526 (1968).
S. P. Wang, “On the centralizer of a lattice,” Proc. Amer. Math. Soc.,21, No. 1, 21–23 (1969).
S. P. Wang, “On a conjecture of Chabauty,” Proc. Amer. Math. Soc.,23, No. 3, 569–572 (1969).
S. P. Wang, “On a theorem of representation of lattices,” Proc. Amer. Math. Soc.,23, No. 3, 583–587 (1969).
S. P. Wang, “The dual space of semi-simple Lie groups,” Amer. J. Math.,91, No. 4, 921–937 (1969).
S. P. Wang, “Some properties of lattices in a Lie group,” Ill. J. Math.,14, No. 1, 35–39 (1970).
M. L. Whippman, “Branching rules for simple Lie groups,” J. Math. Phys.,6, No. 10, 1534–1539 (1965).
J. A. Wolf, “Complex homogeneous contact manifolds and quaternionic symmetric spaces,” J. Math. and Mech.,14, No. 6, 1033–1047 (1965).
J. A. Wolf, “The geometry and structure of isotropy irreducible homogeneous spaces,” Acta Math.,120, Nos. 1–2, 59–148 (1968).
J. A. Wolf, “Symmetric spaces which are real cohomology spheres,” J. Different. Geom.,3, No. 1, 59–68 (1969).
J. A. Wolf, “A compatibility condition between invariant Riemannian metrics and Levi-Whitehead decompositions on a coset space,” Trans. Amer. Math. Soc.,139, 429–442 (1969).
J. A. Wolf, “The action of a real semisimple group on a complex flag manifold. I. Orbit structure and holomorphic arc component,” Bull. Amer. Math. Soc.,75, No. 6, 1121–1237 (1969).
J. A. Wolf, “The automorphism group of a homogeneous almost-complex manifold,” Trans. Amer. Math. Soc.,144, 535–543 (1970).
J. A. Wolf, “A commutativity criterion for closed subgroups of compact Lie groups,” Proc. Amer. Math. Soc.,27, No. 3, 619–622 (1971).
J. A. Wolf and A. Gray, “Homogeneous spaces defined by Lie group automorphisms. I,” J. Different. Geom.,2, No. 1, 77–114 (1968).
J. A. Wolf, “Homogeneous spaces defined by Lie group automorphisms. II,” J. Different. Geom.,2, No. 2, 115–159 (1968).
L. S. Wollenberg, “Derivations of the Lie algebra of polynomials under Poisson bracket,” Proc. Amer. Math. Soc.,20, No. 2, 315–320 (1969).
M. K. F. Wong, “Branching laws, inner multiplicities, and decomposition of classical groups,” J. Math. Phys.,11, No. 4, 1489–1495 (1970).
T. S. Wu, “Discrete uniform subgroups of Lie groups,” Topology,9, No. 2, 137–140 (1970).
T. S. Wu, On (CA) topological groups. II,” Duke Math. J.,38, No. 3, 513–519 (1971).
K. Yagi, “On compact homogeneous affine manifolds,” Osaka J. Math.,7, No. 2, 457–475 (1970).
Chin-ta Yen, “Sur les espaces symétriques non compacts,” Scientia Sinica,14, No. 1, 31–38 (1965).
Chin-ta Yen, “Sur la sous-algèbre régulière d'une algèbre de Lie semisimple réele non-compacte,” Scientia Sinica,14, No. 6, 917–920 (1965).
F. J. Ynduŕain, “The Heisenberg algebra and contractions of the rotation algebra,” Nuovo Cimento,A50, No. 2, 308–312 (1967).
P. B. Zwart, “Compact homogeneous spaces possessing invariant contact, symplectic or cosymplectic structures,” Doct. Diss. Washington Univ., St. Louis, Mo. (1965), 73 pp; Diss. Abstrs.,26, No. 11, 6756 (1966).
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Translated from Itogi Nauki i Tekhniki (Algebra. Topologiya. Geometriya), Vol. 11, pp. 37–123, 1974.
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Alekseevskii, D.V. Lie groups and homogeneous spaces. J Math Sci 4, 483–539 (1975). https://doi.org/10.1007/BF01084048
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DOI: https://doi.org/10.1007/BF01084048