Abstract
The survey deals with the investigations reviewed inReferativnyi Zhurnal “Matematika” between 1977–1981. In the survey there are reflected the investigations on the structure of Lie groups and Lie algebras, on their finite-dimensional linear representations and universal enveloping algebras, on the theory of invariants and Lie groups of transformations, and also on continuous and discrete subgroups of Lie groups.
Similar content being viewed by others
Literature cited
O. M. Adamovich, “Equidimensional representations of simple algebraic groups,” in: Geometric Methods in Problems of Algebra and Analysis [in Russian], No. 2, Yaroslavl State Univ. (1980), pp. 120–125.
O. M. Adamovich and E. O. Golovina, “On invariants of a pair of bilinear forms,” Vestn. Mosk. Univ. Ser. I Mat. Mekh., No. 2, 15–18 (1977).
O. M. Adamovich, “Simple linear Lie groups having a free algebra of invariants,” in: Questions of Group Theory and Homological Algebra [in Russian], No. 2, Yaroslavl State Univ. (1979), pp. 3–41.
J. F. Adams, Lectures on Lie Groups, Benjamin, New York (1969).
A. V. Alekseevskii, “Component groups of centralizers of unipotent elements in semi-simple algebraic groups,” Tr. Tbiliss. Mat. Inst. Akad. Nauk GruzSSR,62, 5–27 (1979).
D. V. Alekseevskii, “Lie groups and homogeneous spaces,” Itogi Nauki i Tekhniki, Ser. Algebra, Topologiya, Geometriya,11, 31–123 (1974).
L. V. Antonyan, “A classification of the four-vectors of an eight-dimensional space,” Tr. Sem. Vektor. Tenzor. Anal., No. 20, 144–161 (1981).
L. V. Antonyan and A. G. Élashvili, “The classification of spinors of dimension sixteen,” Trudy Tbiliss. Mat. Inst. (1982).
V. V. Astrakhantsev, “The proof of certain theorems on decomposability of metrizable Lie algebras,” Ivanov. Univ., Ivanovo, 1978. (Manuscript deposited at VINITI, Feb. 12, 1979, No. 538–79 Dep.)
D. N. Akhiezer, “Dense orbits with two endpoints,” Izv. Akad. Nauk SSSR, Ser. Mat.,41, No. 2, 308–324 (1977).
D. N. Akhiezer, “Algebraic groups that are transitive on the complement to a homogeneous hypersurface,” Dokl. Akad. Nauk SSSR,245, No. 2, 281–284 (1979).
D. N. Akhiezer, “Irreducible systems of roots and indecomposable homogeneous spaces,” Teor. Funktsii Funksional. Anal. Prilozhen., No. 27, 22–26 (1977).
R. M. Asherova, Yu. F. Smirnov, and V. N. Tolstoi, “The description of a certain class of projection operators for semisimple complex Lie algebras,” Mat. Zametki,26, No. 1, 15–25 (1979).
A. O. Barut and R. Raczka, Theory of Group Representations and Applications, Polish Scientific Publishers, Warszawa (1977).
Yu. A. Bakhturin, “Identities of two variables in the Lie algebrasl(2, k),” Tr. Sem. Petrovsk., No. 5, 205–208 (1979).
N. D. Beklemishev, “The classification of quaternary cubical forms of nongeneral position,” in: Questions of Group Theory and Homological Algebra, Yaroslavl State Univ. (1981), pp. 3–17.
N. D. Beklemishev, “The invariants of cubical forms of four variables,” Vestn. Mosk. Univ. Ser. I Mat. Mekh., No. 2, 42–49 (1982).
I. N. Bernshtein and O. V. Shvartsman, “Chevalley's theorem for complex crystallographic Coxeter groups,” Funkts. Anal. Prilozhen.,12, No. 4, 79–80 (1978).
G. E. Bredon, Introduction to Compact Transformation Groups, Academic Press, New York (1972).
N. Bourbaki, Éléments de Mathematique, Fasc. XXXVIII, Groupes et Algèbres de Lie, Chapitres 7, 8, Hermann, Paris (1975).
V. I. Vedernikov and A. S. Fedenko, “Symmetric spaces and their generalizations,” Itogi Nauki i Tekhniki, Ser. Algebra, Topologiya, Geometriya,14, 249–280 (1976).
É. B. Vinberg, “The Weyl group of a graded Lie algebra,” Izv. Akad. Nauk SSSR, Ser. Mat.,40, No. 3, 488–526 (1976).
É. B. Vinberg, “Invariant convex cones and orderings in Lie groups,” Funkts. Anal. Prilozhen.,14, No. 1, 1–13 (1980).
É. B. Vinberg, “The absence of crystallographic reflection groups in Lobachevskii spaces of large dimension,” Funkts. Anal. Prilozhen.,15, No. 2, 67–68 (1981).
É. B. Vinberg, “The rationality of the field of invariants of a triangular group,” Vestn. Mosk. Univ. Ser. I Mat. Mekh., No. 2, 23–24 (1982).
É. B. Vinberg, “The classification of homogeneous nilpotent elements of a semisimple graded Lie algebra,” Tr. Sem. Vektor. Tenzor. Anal., No. 19, 155–177 (1979).
É. B. Vinberg and I. M. Kaplinskaya, “On the groupsO 18.1(Z) andO 19.1(Z), ” Dokl. Akad. Nauk SSSR,238, No. 6, 1273–1275 (1978).
É. B. Vinberg and B. N. Kimel'feld, “Homogeneous domains on flag manifolds and spherical semisimple Lie groups,” Funkts. Anal. Prilozhen.,12, No. 3, 12–19 (1978).
É. B. Vinberg and O. V. Shvartsman, “Riemann surfaces,” J. Sov. Math.,14, No. 1 (1980).
É. B. Vinberg and A. G. Élashvili, “A classification of the three-vectors of a nine-dimensional space,” Tr. Sem. Vektor. Tenzor. Anal., No. 18, 197–233 (1978).
V. A. Ginzburg, “Enveloping algebras and deformations,” Usp. Mat. Nauk,34, No. 2, 191–192 (1979).
V. A. Ginzburg, “The method of orbits and perturbation theory,” Dokl. Akad. Nauk SSSR,249, No. 3, 525–528 (1979).
V. A. Ginzburg, “The method of orbits in the representation theory of complex Lie groups,” Funkts. Anal. Prilozhen.,15, No. 1, 23–37 (1981).
V. V. Gorbatsevich, “On Lie groups that are transitive on compact solvmanifolds,” Izv. Akad. Nauk SSSR, Ser. Mat.,41, No. 2, 285–307 (1977).
V. V. Gorbatsevich, “On compact homogeneous spaces of dimension five and higher,” Usp. Mat. Nauk,33, No. 3, 161–162 (1978).
V. V. Gorbatsevich, “On the topological properties of compact homogeneous spaces,” Dokl. Akad. Nauk SSSR,239, No. 5, 1033–1036 (1978).
V. V. Gorbatsevich, “On almost homogeneous spaces,” in: Geometric Methods in Problems of Analysis and Algebra, Yaroslavl State Univ. (1978), pp. 43–66.
V. V. Gorbatsevich, “The splitting of Lie groups and its application to the study of homogeneous spaces,” Izv. Akad. Nauk SSSR, Ser. Mat.,43, No. 6, 1227–1258 (1979).
V. V. Gorbatsevich, “On compact homogeneous manifolds of small dimension,” in: Geometric Methods in Problems of Algebra and Analysis, No. 2, Yaroslavl State Univ. (1980), pp. 37–60.
V. V. Gorbatsevich, “On the topological structure of compact homogeneous manifolds,” Usp. Mat. Nauk,35, No. 3, 168–171 (1980).
V. V. Gorbatsevich, “On the structure of compact homogeneous spaces,” Dokl. Akad. Nauk SSSR,249, No. 2, 274–277 (1979).
V. V. Gorbatsevich, “On the topological structure of compact homogeneous spaces with a solvable fundamental group,” Usp. Mat. Nauk,36, No. 2, 181–182 (1981).
A. N. Grishkov, “Derivations of Lie algebras,” Mat. Zametki,20, No. 1, 3–10 (1976).
Dao Van Cha, “On the induced representation for a certain class of compact homogeneous spaces,” Vestn. Mosk. Univ. Ser. Mat. Mekh., No. 6, 49–55 (1977).
Dao Van Cha, “The extension of transitive groups on compact homogeneous spaces,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 5, 73–76 (1980).
J. Dixmier, Enveloping Algebras, North-Holland, Amsterdam (1977).
G. V. Egorov, “The invariants of a three-vector of a nine-dimensional space,” in: Questions of Group Theory and Homological Algebra [in Russian], Yaroslavl State Univ. (1981), pp. 127–131.
D. P. Zhelobenko, “Harmonic analysis on reductive Lie groups,” J. Sov. Math.,15, No. 4 (1981).
I. L. Kantor and I. M. Skopets, “On Freudenthal's triple systems,” Tr. Sem. Vektor. Tenzor. Anal.,18, 250–263 (1978).
B. N. Kimel'fel'd, “Homogeneous domains on flag manifolds of rank 1,” Dokl. Akad. Nauk SSSR,229, No. 1, 23–26 (1976).
B. N. Kimel'fel'd, “Reductive groups that are locally transitive on quadrics,” in: Questions of Group Theory and Homological Algebra [in Russian], No. 1, Yaroslavl State Univ. (1977), pp. 94–124.
B. N. Kimel'fel'd, “Quasihomogeneous domains on a conformal sphere,” Usp. Mat. Nauk,33, No. 2, 193–194 (1978).
B. N. Kimel'fel'd, “Homogeneous domains on real quadrics,” Sb. Nauch. Tr. Tashkent. Univ., No. 573, 25–33 (1978).
B. N. Kimel'fel'd, “Reductive subgroups of orthogonal groups that are locally transitive on flag manifolds,” Soobshch. Akad. Nauk GSSR,91, No. 3, 541–544 (1978).
B. N. Kimel'fel'd, “Reductive groups that are locally transitive on the flag manifolds of the orthonormal groups,” Tr. Tbiliss. Mat. Inst. Akad. Nauk GSSR,62, 49–75 (1979).
B. N. Kimel'fel'd, “Homogeneous domains on real quadrics of index 2,” in: Questions of Group Theory and Homological Algebra [in Russian], No. 2, Yaroslavl. State Univ. (1979), pp. 202–205.
A. U. Klimyk, Matrix Elements and Clebshch-Gordan Coefficients of Group Representations [in Russian], Naukova Dumka, Kiev (1979).
T. I. Kolesova, “On homogeneous spaces with a small number of irreducible components of a group of rotations,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 96–98 (1980).
B. P. Komrakov, Structures on Manifolds and Homogeneous Spaces [in Russian], Nauka i Tekhnika, Minsk (1978).
G. L. Litvinov and G. B. Shpiz, “Primary decompositions of finite-dimensional representations of Lie algebras and Lie groups,” Tr. Sem. Vektor. Tenzor. Anal., No. 19, 250–262 (1979).
A. M. Lukatskii, “The minimality of the action of an orthogonal group on an affine quadric,” in: Geometric Methods in Problems of Algebra and Analysis [in Russian], Yaroslavl State Univ. (1980), pp. 130–137.
B. O. Makarevich, “Jordan algebras and orbits in symmetric R-spaces,” Tr. Mosk. Mat. Obshch.,39, 157–179 (1979).
V. S. Makarov and I. S. Gutsul, “On noncompact three-dimensional manifolds of constant negative curvature having a finite measure,” Tr. Mat. Inst. Akad. Nauk SSSR,152, 165–169 (1980).
F. M. Malyshev, “On closed subsets of roots and the cohomologies of regular subalgebras,” Mat. Sb.,104, No. 1, 140–150 (1977).
F. M. Malyshev, “Decomposition of root systems,” Mat. Zametki,27, No. 6, 869–876 (1980).
F. M. Malyshev, “On decompositions of nilpotent Lie algebras,” Mat. Zametki,23, No. 1, 27–30 (1978).
G. A. Margulis, “Discrete subgroups of Lie groups and measurable mappings,” Usp. Mat. Nauk,32, No. 1, 155 (1977).
G. A. Margulis, “Quotient groups of discrete subgroups,” Dokl. Akad. Nauk SSSR,242, No. 3, 533–536 (1978).
G. A. Margulis, “The finiteness of quotient groups of discrete subgroups,” Funkts. Anal. Prilozhen.,13, No. 3, 28–39 (1979).
Yu. I. Merzlyakov, “Linear groups,” J. Sov. Math.,14, No. 1 (1980).
M. V. Milovanov, “The determinability of solvable Lie groups from uniform discrete subgroups,” Dokl. Akad. Nauk BSSR,21, No. 2, 108–111 (1977).
M. V. Milovanov, “The description of solvable Lie groups with a given uniform subgroup,” Mat. Sb.,113, No. 1, 98–117 (1980).
M. V. Milovanov, “On the countability of the set of solvable Lie groups with a given lattice,” Dokl. Akad. Nauk BSSR,22, No. 12, 1067–1068 (1978).
Z. I. Moskalenko, “Exponential groups and ML-groups,” Ukr. Mat. Zh.,28, No. 4, 501–510 (1976).
V. G. Mkhitaryan, “On a certain class of homogeneous spaces of compact Lie groups,” Usp. Mat. Nauk,36, No. 2, 193–194 (1981).
R. O. Nazaryan, “The decomposition of certain simple Lie groups,” Dokl. Akad. Nauk ArmSSR,70, No. 5, 257–260 (1980).
R. O. Nazaryan, “More on the decomposition of simple real Lie groups,” in: Questions of Group Theory and Homological Algebra [in Russian], Yaroslavl State Univ. (1981), pp. 67–79.
V. V. Nikulin, “On the arithmetic groups generated by reflections in a Lobachevskii space,” Izv. Akad. Nauk SSSR, Ser. Mat.,44, No. 3, 637–669 (1980).
G. I. Ol'shanskii, “Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series,” Funkts. Anal. Prilozhen.,15, No. 4, 53–66 (1981).
A. L. Onishchik, “On the extensions of transitive transformation group,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 3, 53–65 (1977).
A. L. Onishchik, “On transitive actions on Borel manifolds,” in: Problems of Group Theory and Homological Algebra [in Russian], No. 1, Yaroslavl State Univ. (1977), pp. 143–155.
A. L. Onishchik, “A remark on invariant groups generated by reflections,” in: Questions of Group Theory and Homological Algebra [in Russian], No. 2, Yaroslavl State Univ. (1979), pp. 138–141.
A. N. Panov and A. G. Élashvili, “Polarizations in semisimple Lie algebras,” Soobshch. Akad. Nauk GSSR,87, No. 1, 25–28 (1977).
D. I. Panyushev, “On the orbit spaces of finite and connected linear groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,46, No. 1, 91–95 (1982).
F. B. Pliev, “On the multiplicities of the weights of irreducible representations of the Lie algebras An,” Soobshch. Akad. Nauk GSSR,94, No. 3, 561–564 (1979).
A. M. Popov, “Stationary subgroups in general position for certain actions of simple Lie groups,” Funkts. Anal. Prilozhen.,10, No. 3, 88–90 (1976).
A. M. Popov, “Irreducible semisimple linear Lie groups with finite stationary subgroups of general position,” Funkts. Anal. Prilozhen.,12, No. 2, 91–92 (1978).
V. L. Popov, “Representations with a free module of covariants,” Funkts. Anal. Prilozhen.,10, No. 3, 91–92 (1976).
V. L. Popov, “A finiteness theorem for representations with a free algebra of invariants,” Izv. Akad. Nauk SSSR, Ser. Mat.,46, No. 2, 347–370 (1982).
V. L. Popov, “The classification of spinors of dimension fourteen,” Tr. Mosk. Mat. Obshch.,37, 173–217 (1978).
V. L. Popov, “On Hilbert's theorem on invariants,” Dokl. Akad. Nauk SSSR,249, No. 3, 551–555 (1979).
S. Yu. Prishchepionok, “Weyl groups of parabolic subgroups of semisimple real Lie groups,” Dokl. Akad. Nauk SSSR,261, No. 1, 26–30 (1981).
V. S. Pyasetskii, “The classification of convex cones of finite type of rank three,” Tr. Sem. Vektor. Tenzor. Anal., No. 19, 202–217 (1979).
V. S. Pyasetskii, “The classification of convex cones of finite type of rank four,” Tr. Sem. Vektor. Tenzor. Anal., No. 20, 86–107 (1981).
M. S. Raghunathan, Discrete Subgroups of Lie Groups, Springer-Verlag, New York (1972).
K. Riives, “Homogeneous quotient spaces of the group of motions in the Euclidean space R5,” Uch. Zap. Tartus. Univ., No. 464/22, 75–97 (1978).
G. A. Soifer, Representations of solvable Lie groups and the extension of the automorphisms of their lattices. Kemerov. Univ., Kemerovo, 1978. (Manuscript deposited at VINITI, July 20, 1978, No. 2443–78 Dep.)
T. A. Springer, Invariant Theory, Springer-Verlag, Berlin (1977).
A. A. Sukhanov, “On observable subgroups of a complex semisimple Lie group,” Vestn. Mosk. Univ. Ser. I Mat. Mekh., No. 1, 50–53 (1977).
W. Y. Hsiang, Cohomology Theory of Topological Transformation Groups, Springer-Verlag, New York (1975).
M. S. Taufik, “On maximal subalgebras in classical real Lie algebras,” in: Questions of Group Theory and Homological Algebra [in Russian], No. 2, Yaroslavl State Univ. (1979), pp. 148–168.
M. S. Taufik, “On semisimple subalgebras of pseudounitary Lie algebras,” in: Geometric Methods in Problems of Algebra and Analysis [in Russian], Yaroslavl State Univ. (1980), pp. 86–115.
A. K. Tolpygo, “The cohomologies of nilpotent Lie algebras and their generating functions,” Usp. Mat. Nauk,34, No. 1, 245–246 (1979).
V. V. Trofimov, “The imbedding of finite groups by regular elements in compact Lie groups,” Tr. Sem. Vektor. Tenzor. Anal., No. 19, 178–201 (1979).
A. S. Fedenko, Spaces with Symmetries [in Russian], Belorussian State Univ., Minsk (1977).
D. B. Fuks, “Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations,” J. Sov. Math.,11, No. 6 (1979).
Yu. V. Khakimdzhanov, “The structure of standard nilsubalgebras of reductive Lie algebras,” Izv. Akad. Nauk UzSSR, Ser. Mat. Nauk, No. 2, 47–51 (1977).
Yu. V. Khakimdzhanov, “On the derivations of certain nilpotent Lie algebras,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 1, 100–110 (1976).
J. E. Humphreys, Linear Algebraic Groups, Springer-Verlag, New York (1975).
O. M. Khosrovyan, “On complex homogeneous spaces with two ends,” in: Geometric Methods in Problems of Analysis and Algebra [in Russian], Yaroslavl State Univ. (1978), pp. 35–42.
I. V. Chekalov, “Primitive subalgebras of complex Lie algebras,” Dokl. Akad. Nauk BSSR,23, No. 9, 773–776 (1979).
I. V. Chekalov, “On irreducible representations of real Lie algebras,” Redkol. Zh. “Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk” Minsk, 1980. (Manuscript deposited at VINITI, April 15, 1980, No. 1456-80 Dep.)
O. V. Shvartsman, “A Chevalley theorem for complex crystallographic groups that are generated by reflections in the affine spaceC 2,” Usp. Mat. Nauk,34, No. 1, 249–250 (1979).
O. V. Shvartsman, “Cocycles of groups, generated by complex reflections,” Mosk. Elektrotekh. Inst. Svyazi, Moscow, 1981. (Manuscript deposited at VINITI, March 31, 1981, No. 1444-81 Dep.)
G. B. Shpiz, “The classification of irreducible locally transitive linear Lie groups,” in: Geometric Methods in Problems of Analysis and Algebra [in Russian], Yaroslavl State Univ. (1978), pp. 152–160.
A. N. Shetinin, “On the fundamental groups of compact homogeneous spaces,” in: Questions of Group Theory and Homological Algebra [in Russian], No. 2, Yaroslavl State Univ. (1979), pp. 175–186.
M. T. Él'baradi, “Extensions of algebraic groups that are transitive on projective manifolds,” Usp. Mat. Nauk,35, No. 2, 229–230 (1980).
L. Abellanas and A. L. Martinez, “Invariants in enveloping algebras under the action of Lie algebras of derivations,” J. Math. Phys.,20, No. 3, 437–440 (1979).
H. Abels, “Distal affine transformation groups,” J. Reine Angew. Math.,299/300 (1978).
H. H. Andersen, “Line bundles on flag manifolds,” Mat. Inst. Aarhus Univ., Preprint Ser. 1979/80, No. 41.
M. F. Anderson, “A simple expression for the Casimir operator on a Lie group,” Proc. Am. Math. Soc.,77, No. 3, 415–420 (1979).
M. F. Anderson, “Explicit expressions for the generators of the center of the enveloping algebra of real Lie algebras and for the algebra of bivariant operators on the group,” Lect. Notes Math.,848, 84–109 (1981).
H. Asano and K. Yamaguti, “A construction of Lie algebras by generalized Jordan triple systems of second order,” Nederl. Akad. Wetensch. Proc. Ser. A,83, No. 3, 249–253 (1980).
A. G. van Asch, “Modular forms and root systems,” Math. Ann.,222, No. 2, 145–170 (1976).
J. E. D'Atri and W. Ziller, “Naturally reductive metrics and Einstein metrics on compact Lie groups,” Mem. Am. Math. Soc., No. 215 (1979).
K. Atsuyama, “On the embedding of the Cayley plane into the exceptional Lie group of F4” Kodai Math. Sem. Rep.,28, Nos. 2–3, 129–134 (1977).
R. Azencott and E. N. Wilson, “Homogeneous manifolds with negative curvature. Part II,” Mem. Am. Math. Soc., No. 178 (1976).
A. Bialynicki-Birula, “On algebraic actions of SL(2),” Bull. Acad. Polon. Sci. Ser. Sci. Math. Astron. Phys.,26, No. 4, 293–294 (1978).
A. Borel, “On the development of Lie group theory,” Math. Centre Tracts, No. 100, 25–37 (1979).
A. Borel and N. Wallach, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, Princeton Univ. Press (1980).
W. Borho, “Primitive vollprime Ideale in der Einhüllenden von SO(5,C),” J. Algebra,43, No. 2, 619–654 (1976).
W. Borho, “Definition einer Dixmier-Abbildung für sl(n,C),” Invent. Math.,40, No. 2, 143–162 (1977).
W. Borho and J. C. Jantzen, “Über primitive ideale in der Einhüllenden einer halbeinfachen Lie Algebra,” Invent. Math.,39, No. 1, 1–53 (1977).
W. Borho and H. Kraft, “Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen,” Comment. Math. Helv.,54, 61–104 (1979).
R. Bott, “The geometry and representation of compact Lie groups,” London Math. Soc. Lecture Note Ser., No. 34, 65–90 (1979).
J. Brezin, Harmonic Analysis on Compact Solvmanifolds, Springer-Verlag, Berlin (1977).
R. F. Brown, “Addendum to ‘Fixed points of automorphisms of compact Lie groups,’” Pac. J. Math.,79, No. 2, 339–340 (1978).
R. S. Cahn and M. E. Taylor, “Asymptotic behavior of multiplicities of representations of compact groups,” Pac. J. Math.,84, No. 1, 17–28 (1979).
E. H. Cattani and A. G. Kaplan, “Horizontal SL2-orbits in flag domains,” Math. Ann.,235, No. 1, 17–35 (1978).
J.-Y. Charbonnel and M. S. Khalqui, “Polarizations pour un certain type de groupes de Lie,” C. R. Acad. Sci. Paris,287, No. 14, 915–917 (1978).
Su-Shing Chen, “A remark on a question of Margulis,” Duke Math. J.,43, No. 4, 805–808 (1976).
F. Connolly and T. Nagano, “The intersection pairing on a homogeneous Kähler manifold,” Michigan Math. J.,24, No. 1, 33–39 (1977).
N. Conze-Berline and M. Duflo, “Sur les représentations induites des groupes semisimples complexes,” Compositio Math.,34, No. 3, 307–336 (1977).
D. Coppersmith, “A family of Lie algebras not extendible to a family of Lie groups,” Proc. Am. Math. Soc.,66, No. 2, 365–366 (1977).
M. L. Curtis, Matrix Groups, Springer-Verlag, New York (1979).
J. S. Dani, “Density properties of orbits under discrete groups,” J. Indian Math. Soc.,39, Nos. 1–4, 189–218 (1975).
S. G. Dani, “On invariant measures, minimal sets, and a lemma of Margulis,” Invent. Math.,51, No. 3, 239–260 (1979).
S. G. Dani, “A simple proof of Borel's density theorem,” Math. Z.,174, No. 1, 81–94 (1980).
S. G. Dani, “Dynamics of horospherical flows,” Bull. Am. Math. Soc.,3, No. 3, 1037–1039 (1980).
S. G. Dani and S. Raghavan, “Orbits of Euclidean frames under discrete linear groups,” Israel J. Math.,36, Nos. 3–4, 300–320 (1980).
V. V. Deodhar, “On Bruhat ordering and weight-lattice ordering of a Weyl group,” Nederl. Akad. Wetensch. Proc Ser. A,81, No. 4, 423–435 (1978).
V. V. Deodhar and J. Lepowsky, “On multiplicity in the Jordan-Hölder series of Verma modules,” J. Algebra,49, No. 2, 512–524 (1977).
J. Dixmier, “Polarisations dans les algèbres de Lie. 2,” Bull. Soc. Math. France,104, No. 2, 145–164 (1976).
J. Dixmier, “Idéaux primitifs dans les algèbres enveloppantes,” J. Algebra,48, No. 1, 96–112 (1977).
J. Dixmier, “Champs de vecteurs adjoints sur les groupes et algèbres de Lie semisimples,” J. Reine Angew. Math.,309, 183–190 (1979).
D. Ž. Djoković, “A closure theorem for analytic subgroups of real Lie groups,” Can. Math. Bull.,19, No. 4, 435–439 (1976).
D. Ž. Djoković, “Closures of conjugacy classes in the classical complex Lie groups,” Houston J. Math.,6, No. 2, 245–257 (1980).
D. Ž. Djoković, “Closures of conjugacy classes in classical real linear Lie groups,” Lect. Notes Math.,848, 63–83 (1981).
D. Ž. Djoković, “Exponential map and automorphism group of a connected Lie group,” Am. J. Math.,99, No. 5, 973–984 (1977).
D. Ž. Djoković, “On the exponential map in classical Lie groups,” J. Algebra,64, No. 1, 76–88 (1980).
J. Dorfmeister, “Inductive construction of homogeneous cones,” Trans. Am. Math. Soc.,252, 321–349 (1979).
J. Dorfmeister, “Quasiclans,” Abh. Math. Sem. Univ. Hamburg,50, 178–187 (1980).
J. Dorfmeister, “Quasisymmetric Siegel domains and the automorphisms of homogeneous Siegel domains,” Am. J. Math.,102, No. 3, 537–563 (1980).
J. Dorfmeister and M. Koecher, “Relative invarianten und nichtassoziative Algebren,” Math. Ann.,228, No. 2, 147–186 (1977).
D. S. Drucker, “Exceptional Lie algebras and the structure of Hermitian symmetric spaces,” Mem. Am. Math. Soc., No. 208 (1978).
D. S. Drucker, “Simplified descriptions of the exceptional bounded symmetric domains,” Geom. Dedicata,10, Nos. 1–4, 1–29 (1981).
D. S. Drucker, “Une description explicite des orbites dans les espaces hermitiens symetriques irreductibles compact exceptionnels,” C. R. Acad. Sci. Paris,287, No. 7, A495-A496 (1978).
M. Duflo, “Sur la classification des ideaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semisimple,” Ann. Math.,105, No. 1, 107–120 (1977).
M. A. Gauger, “Conjugacy in a semisimple Lie algebra is determined by similarity under fundamental representations,” J. Algebra,48, No. 2, 382–389 (1977).
M. A. Gauger, “Integral invariant functions on the nilpotent elements of a semisimple Lie algebra,” Proc. Am. Math. Soc.,68, No. 2, 161–164 (1978).
M. A. Gauger, “A geometric proof of the conjugacy of Borel and Cartan subalgebras of the classical simple Lie algebras,” Adv. Math.,37, No. 1, 61–65 (1980).
B. R. Gelbaum, “On relatively free subsets of Lie groups,” Proc. Math. Soc.,58, 301–305 (1976).
R. Gilmore, Lie Groups, Lie Algebras, and Some of Their Applications, Wiley, New York (1974).
C. Godfrey, “Ideals of coadjoint orbits of nilpotent Lie algebras,” Trans. Am. Math. Soc.,233, 295–307 (1977).
R. Goodman, “Filtrations and asymptotic automorphisms on nilpotent Lie groups,” J. Diff. Geom.,12, No. 2, 183–196 (1977).
R. Goodman, “Filtrations and canonical coordinates on nilpotent Lie groups,” Trans. Am. Math. Soc.,237, 189–204 (1978).
M. Goto, “Immersions of Lie groups,” J. Math. Soc. Jpn.,32, No. 4, 727–749 (1980).
M. Goto, “On a class of type I solvable Lie groups. II,” J. Math. Soc. Jpn.,31, No. 1, 175–180 (1979).
M. Goto and F. D. Grosshans, Semisimple Lie Algebras, Marcel Dekker, New York (1978).
F. P. Greenleaf and M. Moskowitz, “Groups of automorphisms of Lie groups: density properties, bounded orbits, and homogeneous spaces of finite volume,” Pac J. Math.,86, No. 1, 59–87 (1980).
F. P. Greenleaf, M. Moskowitz, and L. P. Rothschild, “A unipotent group associated with certain linear groups,” Colloq. Math.,43, No. 1, 41–45 (1980).
M. D. Gould, “On tensor operators and characteristic identities for semisimple Lie algebras,” J. Austral. Math. Soc.,B20, No. 3, 290–314 (1978).
M. D. Gould, “The characteristic identities and reduced matrix elements of the unitary and orthogonal groups,” J. Austral. Math. Soc.,B20, No. 4, 401–433 (1978).
A. Guichardel, “Etude de la 1-cohomologie et de la topologie du dual pour les groupes de Lie à radical abelien,” Math. Ann.,228, No. 3, 215–232 (1977).
F. Guimier, “Dérivation d'un quotient primitif d'une algèbre enveloppante,” Bull. Sci. Math.,101, No. 4, 385–413 (1977).
F. Guimier, “Caractères des algèbres de Lie resolubles,” C. R. Acad. Sci.,288, No. 3, A185-A187 (1979).
Einhüllende Algebren von Lie-Algebren. Tagunsber. Math. Forschungsinst. Oberwolfach, No. 6, 1–9 (1975).
N. El Samra and R. C. King, “Dimensions of irreducible representations of the classical Lie groups,” J. Phys. A,12, No. 12, 2317–2328 (1979).
N. El Samra and R. C. King, “Reduced determinantal forms for characters of the classical Lie groups,” J. Phys. A,12, No. 12, 2305–2315 (1979).
J. R. Faulkner and J. C. Ferrar, “Exceptional Lie algebras and related algebraic and geometric structures,” Bull. London Math. Soc.,9, No. 1, 1–35 (1977).
M. Fischler, “Young-tableau methods for Kronecker products of representations of the classical groups,” J. Math. Phys.,22, No. 4, 637–648 (1981).
H. Furstenberg, “A note on Borel's density theorem,” Proc. Am. Math. Soc.,55, No. 1, 209–212 (1976).
P. de la Harpe, “On noncompact Lie groups acting transitively on spheres,” Bull. Acad. Polon. Sci. Ser. Sci. Math. Astron. Phys.,25, No. 5, 501–506 (1977).
L. A. Harris, “Operator Siegel domains,” Proc. R. Soc. Edinburgh Sec. A,79, Nos. 1–2, 137–156 (1977/78).
V. Hauschild, “Über den Symmetriegrad der rational azyklischen kompakten homogenen Räume,” Manuscr. Math.,32, Nos. 3–4, 365–379 (1980).
S. Helgason, “Invariant differential equations on homogeneous manifolds,” Bull. Am. Math. Soc.,83, No. 5, 751–774 (1977).
S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, New York (1978).
R. A. Herb and N. R. O'Brian, “A characterization of unipotent, semisimple and regular elements in a reductive algebraic group,” Bull. London Math. Soc.,8, No. 3, 233–238 (1976).
H. Hermann, Physical Aspects of Lie Group Theory, Les Presses de l'Universite de Montreal, Montreal (1974).
W. Hesselink, “Singularities in the nilpotent scheme of a classical group,” Trans. Am. Math. Soc.,222, 1–32 (1976).
W. H. Hesselink, “Polarizations in the classical groups,” Math. Z.,160, No. 3, 217–234 (1978).
W. Hesselink, “The normality of closures of orbits in a Lie algebra,” Comment. Math. Helv.,54, No. 1, 105–110 (1979).
W. H. Hesselink, “Characters of the nullcone,” Math. Ann.,252, No. 3, 179–182 (1980).
U. Hirzebruch, “A generalization of Tits' construction of Lie algebras by Jordan algebras to Jordan triple systems,” Nederl. Akad. Wetensch. Proc. Ser. A,81, No. 4, 456–459 (1978).
G. Hochschild, “On representing analytic groups with their automorphisms,” Pac. J. Math.,78, No. 2, 333–336 (1978).
A. T. Huckleberry and E. Oeljeklaus, “Sur les espaces analytiques complexes presque homogènes,” C. R. Acad. Sci. Paris,290, No. 10, A447-A448 (1980).
I. E. Humphreys, Arithmetic Groups, Springer-Verlag, Berlin (1980).
T. Imai and I. Yokota, “Another definition of exceptional simple Lie groups of type E7(−25) and E7(−313),” J. Fac. Sci. Shinshu Univ.,15, No. 2, 47–52 (1980).
T. Imai and I. Yokota, “Noncompact simple Lie groups E8(−24) of type E8,” J. Fac. Sci. Shinshu Univ.,15, No. 2, 53–76 (1980).
J. W. Jenkins, “Dilations and gauges on nilpotent Lie groups,” Colloq. Math.,41, No. 1, 95–101 (1979).
G. R. Jensen, Higher Order Contact of Submanifolds of Homogeneous Spaces, Springer-Verlag, Berlin (1977).
K. D. Johnson, “On a ring of invariant polynomials on a Hermitian symmetric space,” J. Algebra,67, 72–81 (1980).
D. S. Johnston and K. W. Richardson, “Conjugacy classes in parabolic subgroups of semi-simple algebraic groups. II,” Bull. London Math. Soc.,9, No. 3, 245–250 (1977).
W. Jones, “An algorithm for generating dominant weights,” Commun. Algebra,5, No. 7, 759–771 (1977).
A. Joseph, “Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie réductive,” C. R. Acad. Sci. Paris,284, No. 8, A425-A427 (1977).
A. Joseph, “A preparation theorem for the prime spectrum of a semisimple Lie algebra,” J. Algebra,48, No. 2, 241–289 (1977).
A. Joseph, “Toward the Jantzen conjecture,” Compositio Math.,40, No. 1, 35–67 (1980).
A. Joseph, “On the Gel'fand-Kirillov conjecture for induced ideals in the semisimple case,” Bull. Soc. Math. France,107, No. 2, 139–159 (1979).
A. Joseph, “Gelfand-Kirillov dimension for the annihilators of simple quotients of Verma modules,” J. London Math. Soc.,18, No. 1, 50–60 (1978).
A. Joseph, “Goldie rank in the enveloping algebra of a semi simple Lie algebra. I,” J. Algebra,65, No. 2, 269–283 (1980).
A. Joseph, “Second commutant theorems in enveloping algebras,” Am. J. Math.,99, No. 6, 1167–1192 (1977).
V. G. Kac, “Some remarks on nilpotent orbits,” J. Algebra,64, No. 1, 190–213 (1980).
V. G. Kac, V. L. Popov, and E. B. Vinberg, “Sur les groupes linéaires algébriques dont l'algèbre des invariants est libre,” C. R. Acad. Sci. Paris,283, A875-A878 (1976).
M. Kato, “On combinatorial space forms,” Sci. Papers College Gen. Ed. Univ. Tokyo,30, No. 2, 107–146 (1980).
W. Kaup and H. Upmeier, “Jordan algebras and symmetric Siegel domains in Banach spaces,” Math. Z.,157, No. 2, 179–200 (1977).
R. C. King, “Kronecker products of representations of exceptional Lie groups,” J. Phys. A,14, No. 1, 77–83 (1981).
R. C. King and A. H. A. Al-Qubanchi, “The Weyl groups and weight multiplicities of the exceptional Lie groups,” J. Phys. A,14, No. 1, 51–75 (1981).
B. Kostant, “On Macdonald's η-function formula, the Laplacian and generalized exponents,” Adv. Math.,20, No. 2, 179–212 (1976).
B. Kostant, “On Whittaker vectors and representation theory,” Invent. Math.,48, No. 2, 101–184 (1978).
B. Kostant, “Quantizations and representation theory. Representation theory of Lie groups,” London Math. Soc. Lect. Note Ser.,34, 287–316 (1979).
O. Kowalski, Generalized Symmetric Spaces, Springer-Verlag, Berlin (1980).
O. Kowalski, “On unitary automorphisms of solvable Lie algebras,” Pac. J. Math.,82, No. 1, 133–143 (1979).
H. Kraft, “Parametrisierung von Konjugationsklassen in sl n,” Math. Ann.,234, No. 3, 209–220 (1978).
H. Kraft, “Bahnenräume bei linearen Darstellungen reduktiver Gruppen,” Monograph. Enseign. Math., No. 26, 187–189 (1978).
H. Kraft and C. Procesi, “Closures of conjugacy classes of matrices are normal,” Invent. Math.,53, 227–247 (1979).
H. Kraft and C. Procesi, “Minimal singularities in GLn,” Invent. Math.,62, 503–515 (1981).
M. Krämer, “Some remarks suggesting an interesting theory of harmonic functions on SU(2n + 1)/Sp(n) and SO(2n + 1)/U(n),” Arch. Math.,33, No. 1, 76–79 (1979).
M. Krämer, “Sphärische Untergruppen in kompakten zusammenhängenden Liegruppen,” Compositio Math.,38, No. 2, 129–153 (1979).
D. Krupka, “On the Lie algebras of higher differential groups,” Bull. Acad. Pol. Sci. Ser. Sci. Math.,27, Nos. 3–4, 235–239 (1979).
A. Kumpera, “Suites de Jordan-Hölder et principales d'un groupe de Lie,” J. Diff. Geom.,15, No. 3, 307–353 (1980).
Heng-Lung Lai, “Surjectivity of exponential map on semisimple Lie groups,” J. Math. Soc. Jpn.,29, No. 2, 303–325 (1977).
Heng-Lung Lai, “On the singularity of the exponential map on a Lie group,” Proc. Am. Math. Soc.,62, No. 2, 334–336 (1977).
M. Lassalle, “Les orbites d'une espace hermitien symmétrique compact,” Invent. Math.,52, No. 3, 199–239 (1979).
Lee Dong Hoon, “On torsion subgroups of Lie groups,” Proc. Am. Math. Soc.,55, No. 2, 424–426 (1976).
T. H. Lenagan, “Gelfand-Kirillov dimension in enveloping algebras,” Q. J. Math.,32, No. 1, 69–80 (1981).
J. Lepowsky, “A generalization of H. Weyl's ‘unitary trick’,” Trans. Am. Math. Soc.,216, 229–236 (1976).
J. Lepowsky, “Generalized Verma modules, the Cartan-Helgason theorem, and the Harish-Chandra homomorphism,” J. Algebra,49, No. 2, 470–495 (1977).
Th. Levasseur, “Idéaux premiers et complétion dans les algèbres enveloppantes d'algèbres de Lie nilpotentes,” Lect. Notes Math.,795, 116–160 (1980).
E. M. Luks, “A characteristically nilpotent Lie algebra can be a derived algebra,” Proc. Am. Math. Soc.,56, 42–44 (1976).
D. Luna, “Fonctions differentiables invariantes sous l'opération d'un groupe réductif,” Ann. Inst. Fourier,26, No. 1, 33–49 (1976).
D. Luna, “Remarques sur un article de I. W. Robbin: ‘Lie algebras of infinitesimal norm isometries’,” Bol. Soc. Brasil. Mat.,9, No. 1, 45–48 (1978).
D. Luna and R. W. Richardson, “A generalization of the Chevalley restriction theorem,” Duke Math. J.,46, No. 3, 487–496 (1979).
I. G. Macdonald, “Algebraic structure of Lie groups,” in: Representation Theory of Lie Groups, Cambridge Univ. Press (1979), pp. 91–150.
B. Magneron, “Structure de l'algèbre des invariants de l'algèbre symetrique d'un groupe orthogonal inhomogène,” C. R. Acad. Sci. Paris,287, No. 5, A299-A302 (1978).
B. Magneron, “Structure des polynômes invariants sur l'algèbre de Lie d'un groupe symplectique inhomogène,” C. R. Acad. Sci. Paris,287, No. 15, A981-A984 (1978).
T. Matsuki, “The orbits of affine symmetric spaces under action of minimal parabolic subgroups,” J. Math. Soc. Jpn.,31, No. 2, 331–357 (1979).
G. Maxwell, “Compact Euclidean space forms,” J. Algebra,44, No. 1, 191–195 (1977).
M. McCrudden, “Onn-th roots and infinitely divisible elements in a connected Lie group,” Math. Proc. Cambridge Philos. Soc.,89, No. 2, 293–299 (1981).
J. Meyer, “Präsentation der Einheitengruppe der quadratischen Form F(X) 20 ” Arch. Math.,29, No. 3, 261–266 (1977).
C. Moeglin, “Idéaux primitifs des algèbres enveloppantes,” J. Math. Pures Appl.,59, No. 3, 265–336 (1980).
A. Morgan, “The classification of flat solvmanifolds,” Trans. Am. Math. Soc.,239, 321–351 (1978).
T. Morokuma, “A characterization of fundamental domains of discontinuous groups acting on real hyperbolic spaces,” J. Fac Sci. Univ. Tokyo, Sect. IA Math.,25, No. 2, 157–183 (1978).
M. Moskowitz, “Some remarks on automorphisms of bounded displacement and bounded cocycles,” Monatsh. Math.,85, No. 4, 323–336 (1978).
M. Moskowitz, “On the density theorem of Borel and Furstenberg,” Ark. Mat.,16, No. 1, 11–27 (1978).
G. D. Mostow, “Existence of a nonarithmetic lattice in SU(2, 1),” Proc. Nat. Acad. Sci. U.S.A.,75, No. 7, 3029–3033 (1978).
G. D. Mostow, “On a remarkable class of polyhedra in complex hyperbolic space,” Pac. J. Math.,86, No. 1, 171–276 (1980).
Nghiem-Xuan-Hai, Sous-algèbres commutatives et representations de l'algèbre enveloppante d'une algèbre de Lie résoluble. These Doct. Sci. Math. Univ. Pierre et Marie Curie, Paris (1976).
D. M. O'Brien, A. Cant, and A. L. Carey, “On characteristic identities for Lie algebras,” Ann. Inst. H. Poincaré,A26, No. 4, 405–429 (1977).
S. Okubo, “Casimir invariants and vector operations in simple and classical Lie algebras,” J. Math. Phys., 18, No. 12, 2382–2394 (1977).
S. Okubo, “Quadratic trace identity for exceptional Lie algebras,” J. Math. Phys.,20, No. 4, 586–593 (1979).
S. Okubo, “A generalization of Hurwitz theorem and flexible Lie admissible algebras,” Hadronic J.,3, No. 1, 1–52 (1979).
Th. J. O'Malley, “S-subgroups of the real hyperbolic groups,” Can. J. Math.,32, No. 1, 246–256 (1980).
A. I. Ooms, “On Frobenius Lie algebras,” Commun. Algebra,8, No. 1, 13–52 (1980).
T. Oshima and T. Matsuki, “Orbits on affine symmetric spaces under the action of the isotropy subgroups,” J. Math. Soc. Jpn.,32, No. 2, 399–414 (1980).
S. M. Paneitz, “Invariant convex cones and causality in semisimple Lie algebras and groups,” J. Functional Anal.,43, No. 3, 313–359 (1981).
K. Pommerening, “Über die unipotenten Klasses reduktiver Gruppen,” J. Algebra,49, No. 2, 525–536 (1977).
G. Prasad, “Discrete subgroups isomorphic to lattices in semisimple Lie groups,” Am. J. Math.,98, No. 1, 241–261 (1976).
G. Prasad, “Discrete subgroups isomorphic to lattices in Lie groups,” Am. J. Math.,98, No. 4, 853–863 (1976).
J. F. Price, Lie Groups and Compact Groups, Cambridge Univ. Press (1977).
M. Rais, “La representation coadjointe du groupe affine,” Ann. Inst. Fourier,28, No. 1, 207–237 (1978).
M. Rais, “L'indice des produits semidirectsEX p,” C. R. Acad. Sci. Paris,297, No. 4, A195-A197 (1978).
Ph. Revoy, “Algebres de Lie métabéliennes,” Ann. Fac. Sci. Toulouse Math.,2, No. 2, 93–100 (1980).
R. Rentschler, “Comportement de l'application de Dixmier par rapport a l'antiautomorphisme principal pour des algèbres de Lie completement resolubles,” Lect. Notes Math.,586, 93–100 (1977).
G. Rhinow, “Über Automorphismenbahnen von Elementen u ≠ 0 mit (ad u)3 = α ad u in endlichdimensionalen einfachen komplexen Lie Algebren,” Manuscr. Math.,27, No. 3, 253–258 (1979).
O. S. Rothaus, “Automorphisms of Siegel domains,” Am. J. Math.,101, No. 5, 1167–1179 (1979).
F. Rouvière, “Démonstration de la conjecture de Kashiwara-Vergne pour l'algèbre sl(2),” C. R. Acad. Sci. Paris,292, No. 14, 657–660 (1981).
M. A. Rieffel, “Regularly related lattices in Lie groups,” Duke Math. J.,45, No. 3, 691–699 (1978).
A. A. Sagle and R. E. Walde, Introduction to Lie Groups and Lie Algebras, Academic Press, New York (1973).
J. H. Sampson, “Sous-groupes conjugués d'un groupe linéaire,” Ann. Inst. Fourier,26, No. 2, 1–6 (1976).
I. Satake, “On classification of quasisymmetric domains,” Nagoya Math. J.,62, 1–12 (1976).
I. Satake, “La déformation des formes hermitiennes et son application aux domaines de Siegel,” Ann. Sci. Ecole Norm. Sup.,11, No. 3, 445–449 (1978).
M. Sato and T. Kimura, “A classification of irreducible prehomogeneous vector spaces and their relative invariants,” Nagoya Math. J.,65, 1–155 (1977).
G. W. Schwarz, “Representations of simple Lie groups with regular rings of invariants,” Invent. Math.,49, No. 2, 167–191 (1978).
J. Sekiguchi and Y. Shimizu, “Simple singularities and infinitesimally symmetric spaces,” Proc. Jpn. Acad. Ser. A Math. Sci.,57, No. 1, 42–46 (1981).
G. B. Seligman, Rational Methods in Lie Algebras, Dekker, New York (1976).
G. B. Seligman, “Representation of isotropic simple Lie algebras over general nonmodular fields,” Queen's Papers Pure Appl. Math., No. 48, 528–574 (1978).
F. J. Servedio, “Dense orbits in Z(P) the singular hypersurface of a prehomogeneous vector space,” J. Pure Appl. Algebra,10, 169–175 (1977).
F. Servedio, “Affine open orbits, reductive isotropy groups, and dominant gradient morphisms; a theorem of Mikio Sato,” Pac. J. Math.,72, No. 2, 537–545 (1977).
F. Servedio, “Principal irreducible Lie-algebra modules,” Can. Math. Bull.,21, No. 4, 483–489 (1978).
O. Shukuzawa and I. Yokota, “Noncompact simple Lie group E6(6) of type E6,” J. Fac. Sci. Shinshu Univ.,14, No. 1, 1–13 (1979).
D. J. Simms, “Lie groups and physics,” London Math. Soc. Lect. Note Ser., No. 34, 151–175 (1979).
K.-Y. C. Sit, “Compactness of certain homogeneous spaces of locally compact groups,” Proc. Am. Math. Soc.,55, No. 1, 170–174 (1976).
T. Skjelbred and T. Sund, “Sur la classification des algèbres de Lie nilpotentes,” C. R. Acad. Sci. Paris,286, No. 5, 241–242 (1978).
P. E. Smith, “A simple subgroup of M? and E8(3),” Bull. London Math. Soc.,8, No. 2, 161–165 (1976).
T. Sund, “On the structure of solvable Lie algebras,” Math. Scand.,44, No. 3, 235–242 (1979).
B. E. Swafford, “Horispherical subalgebras of real Lie algebras,” J. Algebra,44, No. 2, 363–369 (1977).
J. Tits, “Travaux de Margulis sur les sous-groupes discrets de groupes de Lie,” Lect. Notes Math.,567, 174–190 (1977).
E. Tsukata, “Transitive actions of compact connected Lie groups on symmetric spaces,” Sci. Rep. Niigata Univ. Ser. A, No. 15, 1–13 (1978).
V. S. Varadarajan, Lie Groups, Lie Algebras, and Their Representations, Prentice Hall, Englewood Cliffs (1974).
F. D. Veldkamp, “A note on the Campbell-Hausdorff formula,” J. Algebra,62, No. 2, 477–478 (1980).
E. B. Vinberg, “Some arithmetical discrete groups in Lobacevskii spaces,” in: Discrete Subgroups of Lie Groups and Applications to Moduli (Internat. Colloq. Bombay, 1973), Oxford Univ. Press, Bombay (1975), pp. 323–348.
H. Völklein, “Transitivitätsfragen bei linearen Liegruppen,” Arch. Math.,36, No. 1, 23–34 (1981).
Th. Vust, “Sur la théorie des invariants des groupes classiques,” Ann. Inst. Fourier,26, No. 1, 1–31 (1976).
Th. Vust, “Sur la théorie classique des invariants,” Comment. Math. Helv.,52, 259–295 (1977).
Z.-X. Wan, Lie Algebras, Pergamon Press, Oxford (1975).
S. P. Wang, “On density properties of certain subgroups of locally compact groups,” Duke Math. J.,43, No. 3, 561–578 (1976).
S. P. Wang, “Homogeneous spaces with finite invariant measure,” Am. J. Math.,98, No. 2, 311–324 (1976).
S. P. Wang, “On L-subgroups of locally compact groups,” Adv. Math.,28, No. 2, 89–100 (1978).
F. L. Williams, “The cohomology of semisimple Lie algebras with coefficients in a Verma module,” Trans. Am. Math. Soc.,240, 115–127 (1978).
L. William, “Forme pratique de al formula de Freudenthal pour les algebres de Lie semi-simple de rangl=2,” C. R. Acad. Sci. Paris,AB286, No. 2, A119-A121 (1978).
J. A. Wolf, “Representations associated to minimal coadjoint orbits,” Lect. Notes Math.,676, 329–349 (1978).
J. A. Wolf, M. Cahen, and M. De Wilde (eds.), Harmonic Analysis and Representations of Semisimple Lie Groups, Lectures given at the NATO Advanced Study Institute. Reidel, Dordrecht (1980).
Yen Chinta and Chang Da gan, “Sur les représentations linéaires rèelles d'une algèbre de Lie semisimple,” C. R. Acad. Sci. Paris,292, No. 3, 175–177 (1981).
I. Yokota, “Subgroups of type A2-series in the exceptional Lie groups G2, F4, and E6,” J. Fac. Sci. Shinshu Univ.,14, No. 2, 87–94 (1979).
D. Zerling, “Dense subgroups of Lie groups. II,” Trans. Am. Math. Soc.,246, 419–428 (1978).
D. Zerling, “On the existence of dense analytic subgroups,” Proc. Am. Math. Soc.,72, No. 3, 566–570 (1978).
R. J. Zimmer, “An analogue of the Mostow-Margulis rigidity theorems for ergodic actions of semisimple Lie groups,” Bull. Am. Math. Soc.,2, No. 1, 168–170 (1980).
Additional information
Translated from Itogi Nauki i Tekhniki, Seriya Algebra, Topologiya, Geometriya, Vol. 20, No. 153–192, 1982.
Rights and permissions
About this article
Cite this article
Alekseevskii, D.V. Lie groups. J Math Sci 28, 924–949 (1985). https://doi.org/10.1007/BF02105458
Issue Date:
DOI: https://doi.org/10.1007/BF02105458