Published papers of Elashvili A. G.
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A.G.Elashvili, E.Andreev, E.Vinberg.
Orbits of maximal dimension semisimple linear Lie groups, (Russian),
Functional analis i ego prilojenia, v4(1967), 1-12.
English translation. Functional Anal. Appl., v1 (1968), 257-261.
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A.G.Elashvili.
About spectors semisimple linear Lie groups, (Russian),
Bull. Of Acad. Sci. of Georgian SSR, v57, N3, (1970), 529-531.
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A.G.Elashvili.
Canonical form and stationary subalgebras points in general position
for simple Lie groups, (Russian),
Functional analis i ego prilojenia, v6, N1 (1972), 51-62.
English translation. Functional Anal. Appl. v6, (1972), 44-53.7
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A.G.Elashvili.
Stationary subalgebras points in general position
for irreducible linear Lie groups, (Russian)
Functional analis i ego prilojenia, v6 (1972) 65-78.
English translation. Functional Anal. Appl. v6 (1972), 139-148.
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A.G.Elashvili.
Centralizer of nilpotent elements in semisimple Lie algebras, (Russian),
Proceedings of A.Razmadze Mathematical Institute, v 46, (1975), 109-131.
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A.G.Elashvili, E.Vinberg.
Classification of Trivectors of a 9 dimensional Space, (Russian),
Trudi Sem. Vector. Tensor. Anal.v 18 (1976), 197-233.
English Translation. Sel. Math. Sov.
Birkhaeuser Verlag, Basel. v 7, N1 (1988), 63-98.
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A.G.Elashvili, A.Panov,
Polarization in semisimple Lie algebras, (Russian),
Bull.of Acad. Sci. of Georgian SSR, v 87, (1977), 25-28.
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A.G.Elashvili, L.Antonyan,
Spinors classification of 16-dimensional space, (Russian),
Proceedings of A.Razmadze Mathematical Institute, v 70, (1982), 1-23.
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A.G.Elashvili,
Frobenius Lie algebras 1, (Russian)
Functional analis i ego prilojeni, v 16, N4, (1982), 94-95.
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A.G.Elashvili,
Sheets of simple Lie algebras, (Russian),
Algebraic Research. Common research Moskow and Tbilissi State University,
Tbilisi, (1984), 62-97.
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A.G.Elashvili,
Frobenius Lie algebras 2, (Russian),
Proceedings of A.Razmadze Mathematical Institute, v 77, (1985), 127-137.
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A.G.Elashvili,
On the index of horospherical subalgebras of simple Lie algebras, (Russian)
Proceedings of A.Razmadze Mathematical Institute, v 77, (1985), 116-126.
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A.G.Elashvili,
Index and points in general positions for Borel subgroup
of simple linear Lie groups, (Russian),
Functional analis i ego prilojenia, v21 N4, (1988), 72-74.
English translation. Functional Anal. Appl. v21, (1988), 84-86.
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A.G.Elashvili,
Absolute modules over semisimple Lie algebras, (Russian),
Arithmetic and Geometry of manifolds,
Kuibyshev. Gos.Univ. (1989), Kuibishev, 98-110.
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A.G.Elashvili,
Algebras with irreducible automorphism groups, (Russian),
Proceedings of the 10 All-Unions Conference on group theory,
Problem in Algebra v4,''Universitetskoe'', Minsk, (1989), 152-162.
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A.G.Elashvili,
Invariant Algebras,
Advances in Soviet Mathemetics, v8, Amer. Math.Soc. ,
Providence, RL (1992) 57-63.
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A.G.Elashvili,
Classification des elements compact nilpotent des algebra de Lie simple,
C.R. Acad. Paris, v 327, Serie 1 (1993), 445-447.
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A.G.Elashvili, M.Jibladze,
Hermite Reciprocity for regular representation of cyclic groups, (English),
Indagationes Mathematiqae., N.S, 9(2), (1998), 233-238.
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A.G.Elashvili, M.Jibladze,
Hermite Reciprocity for semi-invariant on regular representation
of cyclic groups, (English),
Proceedings of A. Razmadze Mathematical Institute, v119, (1999), 21-24.
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A.G.Elashvili, M.Jibladze, D.Pataraja,
Combinatorics of Necklaces and Hermite Reciprocity, (English)
Journal of Algebraic Combinatorics, (1999) 10. N2, 173-188.
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V.Ginzburg,
Principal nilpotent pairs in a semisimple Lie algebras
Inventiones Math. 140. N3 (2000) 511-561.
Appendix. A.G.Elashvili, D.Panyushev.
Towards a classification of principal nilpotent pairs.
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A.G.Elashvili, D.Panyushev,
A classification of the principal nilpotent pairs in simple Lie algebra
and related problems.
Journal London Math.Soc., 63 (2001), N2, 299-318.
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A. G. Elashvili, A. I. Ooms,
On commutative polarizations. Journal of Algebra, 264 (2003) 129-154.
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A. G. Elashvili, V. G. Kac,
Classification of good gradings of simple Lie algebras.
Vinberg, Ernest (ed.), Lie groups and invariant theory. Providence, RI: American Mathematical Society (AMS). Translations. Series 2. American Mathematical Society 213. Advances in the Mathematical Sciences 56, 85-104 (2005).
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A. G. Elashvili, G. N. Khimshiashvili,
Hypersurface singularities and solvable Lie algebras.
Bull. Georgian Acad. Sci. 171, No3, 2005, 416-419
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A. G. Elashvili, G. N. Khimshiashvili,
Lie algebras of simple hypersurface singualrities.
Journal of Lie theory 16(2006), 621-649.
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A. G. Elashvili, V. G. Kac, E. B. Vinberg,
On exceptional nilpotents in semisimple Lie algebras.
Journal of Lie theory 19(2009), 371-390.
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W. A. de Graaf, A. G. Elashvili,
Induced nilpotent orbits of simple Lie algebras of exceptional type.
Georgian Mathematical Journal 16(2009), 257-278.
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A. G. Elashvili, V. G. Kac, E. B. Vinberg,
Cyclic elements in semisimple Lie algebras.
Max Planck Institute Preprint Series 2012-26.
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A. G. Elashvili, V. G. Kac, E. B. Vinberg,
Cyclic elements in semisimple Lie algebras.
Transformation groups 18(2013), 97-130.
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A. G. Elashvili, M. Jibladze, E. B. Vinberg,
Moduli algebras of some simplest non-semiquasihomogeneous singularities.
Preprint 15-039, Universität Bielefeld, 2015.
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Э. Б. Винберг, М. А. Джибладзе, А. Г. Элашвили,
Алгебры модулей некоторых неполуквазиоднородных особенностей.
Функциональный анализ и его приложения 2017, т. 51, вып. 2.
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A. G. Elashvili, M. Jibladze, V. G. Kac,
Semisimple cyclic elements in semisimple Lie algebras.
Transformation groups, 2020.