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  1. Orbits of highest dimension of semisimple linear Lie groups (with E. Andreev and E. Vinberg). (Russian) Funkcional. Anal. i Prilozhen. 1 (1967), No. 4, 3-7; English transl.: Funct. Anal. Appl. 1 (1968), 257-261.

  2. The spectra of semisimple linear Lie groups. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 57 (1970), 529-532.

  3. Canonical form and stationary subalgebras of points in general position for simple linear Lie groups. (Russian) Funkcional. Anal. i Prilozhen. 6 (1972), No. 1, 51-62; English transl.: Funct. Anal. Appl. 6 (1972), 44-53.

  4. Stationary subalgebras of points of general position for irreducible linear Lie groups. (Russian) Funkcional. Anal. i Prilozhen. 6 (1972), No. 2, 65-78; English translation. Funct. Anal. Appl. 6 (1972), 139-148.

  5. Centralizers of nilpotent elements in semisimple Lie algebras. (Russian) Collection of articles on algebra, 1. Soobshch. Akad. Nauk Gruzin. SSR 46 (1975), 109-132.

  6. Polarizations in semisimple Lie algebras (with A. Panov). (Russian) Soobshch. Akad. Nauk Gruzin. SSR 87 (1977), No. 1, 25-28.

  7. A classification of the three-vectors of nine-dimensional space (with E. Vinberg). (Russian) Trudy Sem. Vektor. Tenzor. Anal. 18 (1978), 197-233; English transl.: Sel. Math. Sov. Birkhäuser Verlag, Basel. 7 (1988), No. 1, 63-98.

  8. Classification of spinors of dimension sixteen (with L. Antonyan). (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 70 (1982), 5-23.

  9. Frobenius Lie algebras. I. (Russian) Funktsional. Anal. i Prilozhen. 16 (1982), No. 4, 94-95.

  10. Sheets of simple Lie algebras. (Russian) Algebraic Research. Common research Moscow and Tbilissi State University, Tbilisi, 1984, 62-97.

  11. Frobenius Lie algebras. II. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 77 (1985), 127-137.

  12. The index of horospherical subalgebras of semisimple Lie algebras. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 77 (1985), 116-126.

  13. Orbits of maximal dimension for Borel subgroups of semisimple linear Lie groups. (Russian) Funktsional. Anal. i Prilozhen. 21 (1987), No. 1, 92-93.

  14. Absolute modules over semisimple Lie algebras. (Russian) Arithmetic and geometry of manifolds (Russian), 98-110, 113, Kuǐbyshev. Gos. Univ., Kuybyshev, 1988.

  15. Algebras with an irreducible group of automorphisms. (Russian) Problems in algebra, No. 4 (Russian) (Gomel’, 1986), 152-162, “Universitet’skoe”, Minsk, 1989.

  16. Algebras with irreducible automorphism group. (Russian) Vopr. Algebry 4 (1989), 152-162.

  17. Invariant algebras. Lie groups, their discrete subgroups, and invariant theory, 57-64, Adv. Soviet Math., 8, Amer. Math. Soc., Providence, RI, 1992.

  18. Classification des éléments nilpotents compacts des algèbres de Lie simples (with G. Grélaud). C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), No. 5, 445-447.

  19. Hermite reciprocity for the regular representations of cyclic groups (with M. Jibladze). Indag. Math. (N.S.) 9 (1998), No. 2, 233-238.

  20. “Hermite reciprocity” for semi-invariants in the regular representations of cyclic groups (with M. Jibladze). Proc. A. Razmadze Math. Inst. 119 (1999), 21-24.

  21. Combinatorics of necklaces and Hermite reciprocity (with M. Jibladze and D. Pataraia). J. Algebraic Combin. 10 (1999), No. 2, 173-188.

  22. V. Ginzburg, Principal nilpotent pairs in a semisimple Lie algebra. I. Invent. Math. 140 (2000), No.3, 511-561. Appendix. A. G. Elashvili, D. Panyushev. Towards a classification of principal nilpotent pairs.

  23. A classification of the principal nilpotent pairs in simple Lie algebras and related problems (with D. Panyushev). J. London Math. Soc. (2) 63 (2001), No. 2, 299-318.

  24. On commutative polarizations (with A. I. Ooms). J. Algebra 264 (2003), 129-154.