Published papers of Elashvili A. G.

  1. 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.
  2. A.G.Elashvili. About spectors semisimple linear Lie groups, (Russian), Bull. Of Acad. Sci. of Georgian SSR, v57, N3, (1970), 529-531.
  3. 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
  4. 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.
  5. A.G.Elashvili. Centralizer of nilpotent elements in semisimple Lie algebras, (Russian), Proceedings of A.Razmadze Mathematical Institute, v 46, (1975), 109-131.
  6. 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.
  7. A.G.Elashvili, A.Panov, Polarization in semisimple Lie algebras, (Russian), Bull.of Acad. Sci. of Georgian SSR, v 87, (1977), 25-28.
  8. A.G.Elashvili, L.Antonyan, Spinors classification of 16-dimensional space, (Russian), Proceedings of A.Razmadze Mathematical Institute, v 70, (1982), 1-23.
  9. A.G.Elashvili, Frobenius Lie algebras 1, (Russian) Functional analis i ego prilojeni, v 16, N4, (1982), 94-95.
  10. A.G.Elashvili, Sheets of simple Lie algebras, (Russian), Algebraic Research. Common research Moskow and Tbilissi State University, Tbilisi, (1984), 62-97.
  11. A.G.Elashvili, Frobenius Lie algebras 2, (Russian), Proceedings of A.Razmadze Mathematical Institute, v 77, (1985), 127-137.
  12. 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.
  13. 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.
  14. A.G.Elashvili, Absolute modules over semisimple Lie algebras, (Russian), Arithmetic and Geometry of manifolds, Kuibyshev. Gos.Univ. (1989), Kuibishev, 98-110.
  15. 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.
  16. A.G.Elashvili, Invariant Algebras, Advances in Soviet Mathemetics, v8, Amer. Math.Soc. , Providence, RL (1992) 57-63.
  17. A.G.Elashvili, Classification des elements compact nilpotent des algebra de Lie simple, C.R. Acad. Paris, v 327, Serie 1 (1993), 445-447.
  18. A.G.Elashvili, M.Jibladze, Hermite Reciprocity for regular representation of cyclic groups, (English), Indagationes Mathematiqae., N.S, 9(2), (1998), 233-238.
  19. 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.
  20. A.G.Elashvili, M.Jibladze, D.Pataraja, Combinatorics of Necklaces and Hermite Reciprocity, (English) Journal of Algebraic Combinatorics, (1999) 10. N2, 173-188.
  21. 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.
  22. 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.
  23. A. G. Elashvili, A. I. Ooms, On commutative polarizations. Journal of Algebra, 264 (2003) 129-154.
  24. 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).
  25. A. G. Elashvili, G. N. Khimshiashvili, Hypersurface singularities and solvable Lie algebras. Bull. Georgian Acad. Sci. 171, No3, 2005, 416-419
  26. A. G. Elashvili, G. N. Khimshiashvili, Lie algebras of simple hypersurface singualrities. Journal of Lie theory 16(2006), 621-649.
  27. A. G. Elashvili, V. G. Kac, E. B. Vinberg, On exceptional nilpotents in semisimple Lie algebras. Journal of Lie theory 19(2009), 371-390.
  28. W. A. de Graaf, A. G. Elashvili, Induced nilpotent orbits of simple Lie algebras of exceptional type. Georgian Mathematical Journal 16(2009), 257-278.
  29. A. G. Elashvili, V. G. Kac, E. B. Vinberg, Cyclic elements in semisimple Lie algebras. Max Planck Institute Preprint Series 2012-26.
  30. A. G. Elashvili, V. G. Kac, E. B. Vinberg, Cyclic elements in semisimple Lie algebras. Transformation groups 18(2013), 97-130.
  31. A. G. Elashvili, M. Jibladze, E. B. Vinberg, Moduli algebras of some simplest non-semiquasihomogeneous singularities. Preprint 15-039, Universität Bielefeld, 2015.
  32. Э. Б. Винберг, М. А. Джибладзе, А. Г. Элашвили, Алгебры модулей некоторых неполуквазиоднородных особенностей. Функциональный анализ и его приложения 2017, т. 51, вып. 2.
  33. A. G. Elashvili, M. Jibladze, V. G. Kac, Semisimple cyclic elements in semisimple Lie algebras. Transformation groups, 2020.