Èrnest Borisovich Vinberg (obituary)

D. V. Alekseevskii   ; M. V. Belolipetsky   ; S. G. Gindikin   ; V. G. Kac   ; D. I. Panyushev   ; D. A. Timashev   ; O. V. Shvartsman   ; A. G. Elashvili   ; O. S. Yakimova

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 6, pp. 1123-1135

Bibliographie

[1] È. B. Vinberg, “Homogeneous cones”, Soviet Math. Dokl., 1 (1960), 787–790 | MR | Zbl

[2] E. B. Vinberg, “The theory of convex homogeneous cones”, Trans. Moscow Math. Soc., 12 (1963), 340–403 | MR | Zbl

[3] È. B. Vinberg, I. I. Piatetski-Shapiro, “Classification and canonical realization of complex bounded homogeneous domains”, Trans. Moscow Math. Soc., 12 (1963), 404–437 | MR | Zbl

[4] È. B. Vinberg, “Discrete groups generated by reflections in Lobachevskiĭ spaces”, Math. USSR-Sb., 1:3 (1967), 429–444 | DOI | MR | Zbl

[5] È. B. Vinberg, S. G. Gindikin, “Kählerian manifolds admitting a transitive solvable automorphism group”, Math. USSR-Sb., 3:3 (1967), 333–351 | DOI | MR | Zbl

[6] E. M. Andreev, É. B. Vinberg, A. G. Élashvili, “Orbits of greatest dimension in semi-simple linear Lie groups”, Funct. Anal. Appl., 1:4 (1967), 257–261 | DOI | MR | Zbl

[7] È. B. Vinberg, “On groups of unit elements of certain quadratic forms”, Math. USSR-Sb., 16:1 (1972), 17–35 | DOI | MR | Zbl

[8] È. B. Vinberg, V. L. Popov, “On a class of quasihomogeneous affine varieties”, Math. USSR-Izv., 6:4 (1972), 743–758 | DOI | MR | Zbl

[9] E. B. Vinberg, “On the classification of the nilpotent elements of graded Lie algebras”, Soviet Math. Dokl., 16(1975) (1976), 1517–1520 | MR | Zbl

[10] E. B. Vinberg, “On the linear groups associated to periodic automorphisms of semisimple algebraic groups”, Soviet Math. Dokl., 16 (1975), 406–409 | MR | Zbl

[11] V. G. Kac, V. L. Popov, E. B. Vinberg, “Sur les groupes linéaires algébriques dont l'algèbre des invariants est libre”, C. R. Acad. Sci. Paris Sér. A-B, 283:12 (1976), A875–A878 | MR | Zbl

[12] È. B. Vinberg, “The Weyl group of a graded Lie algebra”, Math. USSR-Izv., 10:3 (1976), 463–495 | DOI | MR | Zbl

[13] V. Gatti [V. Kac], E. Viniberghi, “Spinors of $13$-dimensional space”, Adv. in Math., 30:2 (1978), 137–155 | DOI | MR | Zbl

[14] È. B. Vinberg, A. G. Èlashvili, “Classification of trivectors of a $9$-dimensional space”, Selecta Math. Soviet., 7:1 (1988), 63–98 | MR | Zbl

[15] É. B. Vinberg, B. N. Kimel'fel'd, “Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups”, Funct. Anal. Appl., 12:3 (1978), 168–174 | DOI | MR | Zbl

[16] È. B. Vinberg, “Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra”, Selecta Math. Soviet., 6 (1987), 15–35 | MR | Zbl

[17] É. B. Vinberg, “Absence of crystallographic groups of reflections in Lobachevskii spaces of large dimension”, Funct. Anal. Appl., 15:2 (1981), 128–130 | DOI | MR | Zbl

[18] È. B. Vinberg, “The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension”, Trans. Moscow Math. Soc., 1985, 75–112 | MR | Zbl

[19] È. B. Vinberg, “Discrete reflection groups in Lobachevsky spaces”, Proceedings of the international congress of mathematicians (Warsaw, 1983), v. 1, PWN, Warsaw, 1984, 593–601 | MR | Zbl

[20] É. B. Vinberg, “Complexity of action of reductive groups”, Funct. Anal. Appl., 20:1 (1986), 1–11 | DOI | MR | Zbl

[21] A. L. Onishchik, E. B. Vinberg, Lie groups and algebraic groups, Springer Ser. Soviet Math., Springer-Verlag, Berlin, 1990, xx+328 pp. | DOI | MR | MR | Zbl | Zbl

[22] A. L. Onishchik, È. B. Vinberg, “Foundations of Lie theory”, Lie groups and Lie algebras I, Encyclopaedia Math. Sci., 20, Springer, Berlin, 1993, 1–94 | MR | MR | Zbl | Zbl

[23] E. B. Vinberg, V. V. Gorbatsevich, O. V. Schwarzman, “Discrete subgroups of Lie groups”, Lie groups and Lie algebras II, Encyclopaedia Math. Sci., 21, Springer, Berlin, 2000, 1–123 | MR | MR | Zbl | Zbl

[24] D. V. Alekseevskij, E. B. Vinberg, A. S. Solodovnikov, “Geometry of spaces of constant curvature”, Geometry II, Encyclopaedia Math. Sci., 29, Springer, Berlin, 1993, 1–138 | DOI | MR | Zbl | Zbl

[25] E. B. Vinberg, O. V. Shvartsman, “Discrete groups of motions of spaces of constant curvature”, Geometry II, Encyclopaedia Math. Sci., 29, Springer, Berlin, 1993, 139–248 | DOI | MR | Zbl | Zbl

[26] V. L. Popov, E. B. Vinberg, “Invariant theory”, Algebraic geometry IV, Encyclopaedia Math. Sci., 55, Springer-Verlag, Berlin, 1994, 123–278 | DOI | MR | MR | Zbl | Zbl

[27] V. V. Gorbatsevich, A. L. Onishchik, E. B. Vinberg, “Structure of Lie groups and Lie algebras”, Lie groups and Lie algebras III, Encyclopaedia Math. Sci., 41, Springer-Verlag, Berlin, 1994, 1–248 | MR | MR | Zbl | Zbl

[28] È. B. Vinberg, “On certain commutative subalgebras of a universal enveloping algebra”, Math. USSR-Izv., 36:1 (1991), 1–22 | DOI | MR | Zbl

[29] E. B. Vinberg, “On reductive algebraic semigroups”, Lie groups and Lie algebras: E. B. Dynkin's seminar, Amer. Math. Soc. Transl. Ser. 2, 169, Adv. Math. Sci., 26, Amer. Math. Soc., Providence, RI, 1995, 145–182 | DOI | MR | Zbl

[30] E. B. Vinberg, A course in algebra, Grad. Stud. Math., 56, Amer. Math. Soc., Providence, RI, 2003, x+511 pp. | DOI | MR | Zbl

[31] D. N. Akhiezer, E. B. Vinberg, “Weakly symmetric spaces and spherical varieties”, Transform. Groups, 4:1 (1999), 3–24 | DOI | MR | Zbl

[32] E. B. Vinberg, “Commutative homogeneous spaces and co-isotropic symplectic actions”, Russian Math. Surveys, 56:1 (2001), 1–60 | DOI | DOI | MR | Zbl

[33] È. B. Vinberg, “Commutative homogeneous spaces of Heisenberg type”, Trans. Moscow Math. Soc., 2003 (2003), 45–78 | MR | Zbl

[34] E. B. Vinberg, “Some free algebras of automorphic forms on symmetric domains of type IV”, Transform. Groups, 15:3 (2010), 701–741 | DOI | MR | Zbl

[35] O. V. Shvartsman, E. B. Vinberg, “A criterion of smoothness at infinity for an arithmetic quotient of the future tube”, Funct. Anal. Appl., 51:1 (2017), 32–47 | DOI | DOI | MR | Zbl

[36] E. B. Vinberg, “On some free algebras of automorphic forms”, Funct. Anal. Appl., 52:4 (2018), 270–289 | DOI | DOI | MR | Zbl