This is a preview of subscription content, log in via an institution to check access.
REFERENCES
V.V. Trofimov, “Imbeddings of finite groups in compact Lie groups by means of regular elements,” Dokl. Akad. Nauk. SSSR, 226, 785–786 (1976).
V. V. Trofimov, “Imbedding of finite groups by regular elements in compact Lie groups,” Trudy Sem. Vektor. Tenzor. Anal., 19, 178–201 (1979)
V. V. Trofimov, “Group theoretic characterization of the maximal exponent of a compact Lie group”, In: Geometry, Differential Equations and Their Applications, MGU, Mekh.-Mat. Fak., Moscow (1986).
V. V. Trofimov, “Finite subgroups of compact Lie groups and maximal exponents of Lie algebras,” J. Math. Sci., 102, 4667–4670 (2000).
V. V. Trofimov, “Euler equations on Borel subalgebras of semisimple Lie algebras,” Izv. Akad. Nauk SSSR, Ser. Mat., 43, 714–732 (1979).
V. V. Trofimov, “Euler equations on finite-dimensional solvable Lie groups,” Izv. Akad. Nauk SSSR, Ser. Mat., 44, 1991–1999 (1980).
A. A. Arkhangelskii, “Completely integrable hamiltonian systems on a group of triangular matrices,” Mat. Sb., 108, 134–142 (1979).
V. V. Trofimov, “Semi-invariants of a coadjoint representation of Borel subalgebras of simple Lie algebras,” Trudy Sem. Vektor Tenzor. Anal., 21, 84–105 (1983).
V. V. Trofimov, “Completely integrable geodesic flows of left invariant metrics on Lie groups, connected with commutative graded algebras with Poincare duality,” Dokl. Akad. Nauk. SSSR, 263, 812–816 (1982).
V. V. Trofimov, “Extensions of Lie algebras and Hamiltonian systems,” Izv. Akad. Nauk SSSR, Ser Mat., 47, 1303–1321 (1983).
V. V. Trofimov and A. T. Fomenko, “Integrability in the sense of Liouville of Hamiltonian systems on Lie algebras,” Usp. Mat. Mat. Nauk, 39, 3–56 (1984).
A. T. Fomenko and V. V. Trofimov, Integrable Systems on Lie Algebras and Symmetric Spaces, Advanced Studies in Contemporary Mathematics, 2. Gordon and Breach, New York (1988).
V. V. Trofimov and A. T. Fomenko, “Dynamical systems on orbits of linear representations of Lie groups and complete integrability of certain hydrodynamic systems,” Funkts. Anal. Pril., 17, 31–39 (1983).
A. T. Fomenko, “Symplectic structures and integrable systems in symmetric spaces,” Mat. Sb., 115, 263–280 (1981).
V. V. Trofimov, “A group-theoretic interpretation of some classes of equations of classical mechanics, ” In: Differential Equations and Their Applications, MGU, Mekh.-Mat. Fak., Moscow (1984).
V. V. Trofimov, “Deformations of integrable systems,” In: New in Global Analysis, Voronezh Gos. Univ., Voronezh (1986).
V. V. Trofimov, “Relative symplectic volume on orbits of the coadjoint representation of simple Lie groups,” Usp. Mat. Nauk, 48, 173–174 (1993).
V. V. Trofimov, O. V. Manturov, and A. T. Fomenko, Tensor and Vector Analysis, Gordon and Breach (1998).
D. Bar-Natan, “On the Vassiliev knot invariants,” Topology, 34, 423–472 (1995).
Additional information
__________
Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 117, Geometry, 2004.
Rights and permissions
About this article
Cite this article
Campoamor-Stursberg, R., Manturov, V.O. V. V. Trofimov’s Legacy in Lie Theory. J Math Sci 128, 3007–3009 (2005). https://doi.org/10.1007/s10958-005-0248-2
Issue Date:
DOI: https://doi.org/10.1007/s10958-005-0248-2