Literature Cited
E. M. Andreev, E. B. Vinberg, and A. G. Elashvili, "Orbits of greatest dimensionality of semisimple linear Lie groups," Funktsional'. Analiz i Ego Prilozhen.,1, No. 4, 3–7 (1967).
E. B. Vinberg, "Invariant linear connectivities in homogeneous space," Trudy Mosk. Matem. Ob-va,9, 191–210 (1960).
G. B. Gurevich, Fundamentals of the Theory of Algebraic Invariants [in Russian], Gostekhizdat, Moscow (1948).
R. W. Richardson, "Conjugacy class in Lie algebras and algebraic groups," Ann. Math.,81, No. 1, 1–15 (1967).
E. B. Dynkin, "Semisimple subalgebras of semisimple Lie algebras," Matem. Sb.,30, 349–462 (1952).
V. L. Popov, "Criterion of stability of action of semisimple groups on a factorial manifold," Izv. Akad. Nauk SSSR, Seriya Matem.,34, 523–532 (1970).
W. C. Hsiang and W. Y. Hsiang, "Differentiable actions of compact connected classical groups. II," Ann. Math.,92, No. 2, 189–223 (1970).
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Mathematics Institute, Academy of Sciences of the Georgian SSR. Translated from Funktsional'nyi Analiz i Ego Prolozheniya, Vol. 6, No. 1, pp. 51–62, January–March, 1972.
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Élashvili, A.G. Canonical form and stationary subalgebras of points of general position for simple linear Lie groups. Funct Anal Its Appl 6, 44–53 (1972). https://doi.org/10.1007/BF01075509
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DOI: https://doi.org/10.1007/BF01075509