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Transactions of the Moscow Mathematical Society

This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.

ISSN 1547-738X (online) ISSN 0077-1554 (print)

The 2020 MCQ for Transactions of the Moscow Mathematical Society is 0.74.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Editors’ Preface
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Trans. Moscow Math. Soc. 2017, 1-7
DOI: https://doi.org/10.1090/mosc/275
Published electronically: December 1, 2017
References
  • È. B. Vinberg, On invariant linear connections, Dokl. Akad. Nauk SSSR 128 (1959), 653–654 (Russian). MR 0110073
  • È. B. Vinberg, Invariant linear connections in a homogeneous space, Trudy Moskov. Mat. Obšč. 9 (1960), 191–210 (Russian). MR 0176418
  • È. B. Vinberg, Homogeneous cones, Soviet Math. Dokl. 1 (1960), 787–790. MR 0141680
  • È. B. Vinberg, The Morozov-Borel theorem for real Lie groups, Dokl. Akad. Nauk SSSR 141 (1961), 270–273 (Russian). MR 0142683
  • È. B. Vinberg, Convex homogeneous domains, Dokl. Akad. Nauk SSSR 141 (1961), 521–524 (Russian). MR 0142684
  • È. B. Vinberg, Automorphisms of homogeneous convex cones, Dokl. Akad. Nauk SSSR 143 (1962), 265–268 (Russian). MR 0132768
  • È. B. Vinberg, Lie groups and homogeneous spaces, Itogi Nauki (Algebra. Topology. 1962), Akad. Nauk SSSR Inst. Naučn. Informacii, Moscow, 1963, pp. 5–32 (Russian). MR 0169957
  • È. B. Vinberg, The theory of homogeneous convex cones, Trudy Moskov. Mat. Obšč. 12 (1963), 303–358 (Russian). MR 0158414
  • È. B. Vinberg, S. G. Gindikin, and I. I. Pjateckiĭ-Šapiro, Classification and canonical realization of complex homogeneous bounded domains, Trudy Moskov. Mat. Obšč. 12 (1963), 359–388 (Russian). MR 0158415
  • È. B. Vinberg, Structure of the group of automorphisms of a homogeneous convex cone, Trudy Moskov. Mat. Obšč. 13 (1965), 56–83 (Russian). MR 0201575
  • È. B. Vinberg, On the theorem concerning the infinite-dimensionality of an associative algebra, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 209–214 (Russian). MR 0172892
  • E. B. Vinberg, Construction of the exceptional simple Lie algebras, Lie groups and invariant theory, Amer. Math. Soc. Transl. Ser. 2, vol. 213, Amer. Math. Soc., Providence, RI, 2005, pp. 241–242. Translated from Trudy Sem. Vekt. Tenz. Anal. 13 (1966), 7–9. MR 2140725, DOI 10.1090/trans2/213/15
  • È. B. Vinberg, Lectures on linear algebra and geometry, Moscow State University, Moscow, 1966, 81 pp.
  • È. B. Vinberg and S. G. Gindikin, Construction of homogeneous Kähler manifolds, Reports of Short Communications, Intern. Congress of Matehmticians, Moscow, 1966, Section 10, p.12
  • S. G. Gindikin, I. I. Pjateckiĭ-Šapiro, and È. B. Vinberg, Homogeneous Kähler manifolds, Geometry of Homogeneous Bounded Domains (C.I.M.E., 3 Ciclo, Urbino, 1967) Edizioni Cremonese, Rome, 1968, pp. 3–87 (German). MR 0238237
  • È. B. Vinberg, Kompaktnye gruppy Li, Izdat. Moskov. Univ., Moscow, 1967 (Russian). MR 0260929
  • È. B. Vinberg, Discrete groups generated by reflections in Lobačevskiĭ spaces, Mat. Sb. (N.S.) 72 (114) (1967), 471–488; correction, ibid. 73 (115) (1967), 303 (Russian). MR 0207853
  • È. B. Vinberg, Letter to the Editor, Mat. Sb. 73(115):2 (1967), p. 303.
  • È. B. Vinberg and S. G. Gindikin, Kähler manifolds admitting a transitive solvable group of automorphisms, Mat. Sb. (N.S.) 74 (116) (1967), 357–377 (Russian). MR 0224114
  • È. B. Vinberg and V. G. Kac, Quasi-homogeneous cones, Mat. Zametki 1 (1967), 347–354 (Russian). MR 208470
  • E. M. Andreev, È. B. Vinberg, and A. G. Èlašvili, Orbits of highest dimension of semisimple linear Lie groups, Funkcional. Anal. i Priložen. 1 (1967), no. 4, 3–7 (Russian). MR 0267040
  • È. B. Vinberg, Invariant norms in compact Lie algebras, Funkcional. Anal. i Priložen. 2 (1968), no. 2, 89–90 (Russian). MR 0235076
  • S. G. Gindikin, I. I. Pjateckiĭ-Šapiro, and È. B. Vinberg, Homogeneous Kähler manifolds, Geometry of Homogeneous Bounded Domains (C.I.M.E., 3 Ciclo, Urbino, 1967) Edizioni Cremonese, Rome, 1968, pp. 3–87 (German). MR 0238237
  • È. B. Vinberg, Some examples of crystallographic groups in Lobačevskiĭ spaces, Mat. Sb. (N.S.) 78 (120) (1969), 633–639 (Russian). MR 0246193
  • È. B. Vinberg and A. L. Onishchik, Seminar on algebraic groups and Lie groups, Moscow State University, Moscow, 1969, 230 pp.
  • È. B. Vinberg, Geometric representations of Coxeter groups, Uspehi Mat. Nauk 25 (1970), no. 2 (152), 267–268 (Russian). MR 0262377
  • È. B. Vinberg, Rings of definition of dense subgroups of semisimple linear groups. , Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 45–55 (Russian). MR 0279206
  • È. B. Vinberg, Discrete linear groups that are generated by reflections, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 1072–1112 (Russian). MR 0302779
  • È. B. Vinberg, The groups of units of certain quadratic forms, Mat. Sb. (N.S.) 87(129) (1972), 18–36 (Russian). MR 0295193
  • È. B. Vinberg, Algebraic transformation groups of maximal rank, Mat. Sb. (N.S.) 88(130) (1972), 493–503 (Russian). MR 0309939
  • È. B. Vinberg, The unimodular integral quadratic forms, Funkcional. Anal. i Priložen. 6 (1972), no. 2, 24–31 (Russian). MR 0299557
  • È. B. Vinberg and V. L. Popov, A certain class of quasihomogeneous affine varieties, Izv. Akad. Nauk SSSR Ser. Mat. 36 (1972), 749–764 (Russian). MR 0313260
  • È. B. Vinberg, Certain properties of the root decomposition of a semisimple Lie algebra over a non-algebraically closed field, Funkcional. Anal. i Priložen. 9 (1975), no. 1, 20–24 (Russian). MR 0366999
  • È. B. Vinberg, Linear groups that are connected with periodic automorphisms of semisimple algebraic groups, Dokl. Akad. Nauk SSSR 221 (1975), no. 4, 767–770 (Russian). MR 0486173
  • È. B. Vinberg, The Schoenflies-Bieberbach theorem, Dokl. Akad. Nauk SSSR 221 (1975), no. 5, 1013–1015 (Russian). MR 0486187
  • È. B. Vinberg, The classification of nilpotent elements of graded Lie algebras, Dokl. Akad. Nauk SSSR 225 (1975), no. 4, 745–748 (Russian). MR 0506488
  • È. B. Vinberg, Some arithmetical discrete groups in Lobačevskiĭ spaces, Discrete subgroups of Lie groups and applications to moduli (Internat. Colloq., Bombay, 1973) Oxford Univ. Press, Bombay, 1975, pp. 323–348. MR 0422505
  • È. B. Vinberg, The Weyl group of a graded Lie algebra, Izv. Akad. Nauk SSSR Ser. Mat. 40 (1976), no. 3, 488–526, 709 (Russian). MR 0430168
  • Victor G. Kac, Vladimir L. Popov, and Ernest B. Vinberg, Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre, C. R. Acad. Sci. Paris Sér. A-B 283 (1976), no. 12, Ai, A875–A878 (French, with English summary). MR 419468
  • È. B. Vinberg and I. M. Kaplinskaja, The groups $O_{18,1}(Z)$ and $O_{19,1}(Z)$, Dokl. Akad. Nauk SSSR 238 (1978), no. 6, 1273–1275 (Russian). MR 0476640
  • È. B. Vinberg and B. N. Kimel′fel′d, Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups, Funktsional. Anal. i Prilozhen. 12 (1978), no. 3, 12–19, 96 (Russian). MR 509380
  • È. B. Vinberg and O. V. Švarcman, Riemann surfaces, Algebra, Topology, Geometry, Vol. 16 (Russian), VINITI, Moscow, 1978, pp. 191–245, 247 (errata insert) (Russian). MR 538254
  • È. B. Vinberg and A. G. Èlašvili, A classification of the three-vectors of nine-dimensional space, Trudy Sem. Vektor. Tenzor. Anal. 18 (1978), 197–233 (Russian). MR 504529
  • V. Gatti and E. Viniberghi, Spinors of $13$-dimensional space, Adv. in Math. 30 (1978), no. 2, 137–155. MR 513846, DOI 10.1016/0001-8708(78)90034-8
  • È. B. Vinberg, Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra, Trudy Sem. Vektor. Tenzor. Anal. 19 (1979), 155–177 (Russian). MR 549013
  • È. B. Vinberg, Algebra of polynomials, Prosveshchenie, Moscow, 1980, 175 pp.
  • È. B. Vinberg, Invariant convex cones and orderings in Lie groups, Funktsional. Anal. i Prilozhen. 14 (1980), no. 1, 1–13, 96 (Russian). MR 565090
  • È. B. Vinberg, On the closure of an orbit of a resuctive linear group, Algebra, Moscow State Univ., 1980 31–36.
  • È. B. Vinberg, The nonexistence of crystallographic reflection groups in Lobachevskiĭ spaces of large dimension, Funktsional. Anal. i Prilozhen. 15 (1981), no. 2, 67–68 (Russian). MR 617472
  • È. B. Vinberg, Rationality of the field of invariants of a triangular group, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 2 (1982), 23–24, 115 (Russian, with English summary). MR 655396
  • È. B. Vinberg, Effective theory of invariants, Algebra, Moskov. Gos. Univ., Moscow, 1982, pp. 27–33 (Russian). MR 790700
  • È. B. Vinberg, Discrete groups of reflections in Lobachevskiĭ spaces of large dimensions, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 132 (1983), 62–68 (Russian). Modules and algebraic groups, 2. MR 717573
  • È. B. Vinberg, Reflective hyperbolic lattices, Dokl. Akad. Nauk SSSR 272 (1983), no. 6, 1298–1301 (Russian). MR 722868
  • È. B. Vinberg, Discrete reflection groups in Lobachevsky spaces, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983) PWN, Warsaw, 1984, pp. 593–601. MR 804716
  • È. B. Vinberg, The two most algebraic $K3$ surfaces, Math. Ann. 265 (1983), no. 1, 1–21. MR 719348, DOI 10.1007/BF01456933
  • È. B. Vinberg, Absence of crystallographic groups of reflections in Lobachevskiĭ spaces of large dimension, Trudy Moskov. Mat. Obshch. 47 (1984), 68–102, 246 (Russian). MR 774946
  • È. B. Vinberg, Hyperbolic groups of reflections, Uspekhi Mat. Nauk 40 (1985), no. 1(241), 29–66, 255 (Russian). MR 783604
  • È. B. Vinberg, Lineĭnye predstavleniya grupp, “Nauka”, Moscow, 1985 (Russian). MR 810402
  • È. B. Vinberg, Complexity of actions of reductive groups, Funktsional. Anal. i Prilozhen. 20 (1986), no. 1, 1–13, 96 (Russian). MR 831043
  • È. B. Vinberg, Reflection subgroups in Bianchi groups, Problems in group theory and homological algebra (Russian), Matematika, Yaroslav. Gos. Univ., Yaroslavl′1987, pp. 121–127 (Russian). MR 1174800
  • V. A. Artamonov, Yu. A Bakhturin, and È. B. Vinberg, et al., Problems in Algebra, A. I. Kostrikin (Ed.), Nauka, Moscow, 1987, 352 pp.
  • È. B. Vinberg and A. L. Onishchik, Seminar po gruppam Li i algebraicheskim gruppam, “Nauka”, Moscow, 1988 (Russian). MR 1090326
  • È. B. Vinberg and A. L. Onishchik, Foundations of the theory of Lie groups, Current problems in mathematics. Fundamental directions, Vol. 20 (Russian), Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1988, pp. 5–101, 246 (Russian). MR 950862, DOI 10.1007/978-1-4614-1068-3_{2}
  • È. B. Vinberg, V. V. Gorbatsevich, and O. V. Shvartsman, Discrete subgroups of Lie groups, Current problems in mathematics. Fundamental directions, Vol. 21 (Russian), Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1988, pp. 5–120, 215 (Russian). MR 968445
  • D. V. Alekseevskii, È. B. Vinberg, and A. S. Solodovnikov, Geometry of spaces of constant curvature, Geometriya II, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1988, pp. 5–146.
  • O. V. Shvartsman and È. B. Vinberg, Discrete groups of motions of spaces of constant curvature, Geometriya II, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1988, pp. 147–259.
  • È. B. Vinberg, Real entire functions with prescribed critical values, Problems in group theory and in homological algebra (Russian), Yaroslav. Gos. Univ., Yaroslavl′1989, pp. 127–138 (Russian). MR 1068773
  • È. B. Vinberg and V. L. Popov, Invariant theory, Algebraic geometry, 4 (Russian), Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1989, pp. 137–314, 315 (Russian). MR 1100485
  • Ernest B. Vinberg, Linear representations of groups, Basler Lehrbücher [Basel Textbooks], vol. 2, Birkhäuser Verlag, Basel, 1989. Translated from the Russian by A. Iacob. MR 1013789, DOI 10.1007/978-3-0348-0063-1
  • È. B. Vinberg, Some commutative subalgebras of a universal enveloping algebra, Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990), no. 1, 3–25, 221 (Russian); English transl., Math. USSR-Izv. 36 (1991), no. 1, 1–22. MR 1044045, DOI 10.1070/IM1991v036n01ABEH001925
  • È. B. Vinberg, V. V. Gorbatsevich, and A. L. Onishchik, Structure of Lie groups and Lie algebras, Current problems in mathematics. Fundamental directions, Vol. 41 (Russian), Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1990, pp. 5–259 (Russian). MR 1056486
  • A. L. Onishchik and È. B. Vinberg, Lie groups and algebraic groups, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1990. Translated from the Russian and with a preface by D. A. Leites. MR 1064110, DOI 10.1007/978-3-642-74334-4
  • È. B. Vinberg, The volume of polyhedra on a sphere and in Lobachevsky space, Algebra and analysis (Kemerovo, 1988) Amer. Math. Soc. Transl. Ser. 2, vol. 148, Amer. Math. Soc., Providence, RI, 1991, pp. 15–27. MR 1109060, DOI 10.1090/trans2/148/02
  • H. Helling, J. J. Mennicke, and È. B. Vinberg, On some general triangle groups and 3-dimensional orbifolds, Preprint 91-057, Universität Bielefeld, 1991, 10 pp.
  • È. B. Vinberg, Lectures in algebra, First year, Second Semester, Independent Univ. Moscow, 1993, 103 pp.
  • È. B. Vinberg, The smallest field of definition of a subgroup of the group $\textrm {PSL}_2$, Mat. Sb. 184 (1993), no. 10, 53–66 (Russian, with Russian summary); English transl., Russian Acad. Sci. Sb. Math. 80 (1995), no. 1, 179–190. MR 1249413, DOI 10.1070/SM1995v080n01ABEH003519
  • È. B. Vinberg, Volumes of non-Euclidean polyhedra, Uspekhi Mat. Nauk 48 (1993), no. 2(290), 17–46 (Russian); English transl., Russian Math. Surveys 48 (1993), no. 2, 15–45. MR 1239859, DOI 10.1070/RM1993v048n02ABEH001011
  • A. L. Onishchik and È. B. Vinberg, Foundations of Lie theory [see MR0950861 (89m:22010)], Lie groups and Lie algebras, I, Encyclopaedia Math. Sci., vol. 20, Springer, Berlin, 1993, pp. 1–94, 231–235. MR 1306738
  • D. V. Alekseevskij, È. B. Vinberg, and A. S. Solodovnikov, Geometry of spaces of constant curvature, Geometry, II, Encyclopaedia Math. Sci., vol. 29, Springer, Berlin, 1993, pp. 1–138. MR 1254932, DOI 10.1007/978-3-662-02901-5_{1}
  • È. B. Vinberg and O. V. Shvartsman, Discrete groups of motions of spaces of constant curvature, Geometry, II, Encyclopaedia Math. Sci., vol. 29, Springer, Berlin, 1993, pp. 139–248. MR 1254933, DOI 10.1007/978-3-662-02901-5_{2}
  • E. B. Vinberg, V. V. Gorbatsevich, and O. V. Shvartsman, Discrete subgroups of Lie groups [ MR0968445 (90c:22036)], Lie groups and Lie algebras, II, Encyclopaedia Math. Sci., vol. 21, Springer, Berlin, 2000, pp. 1–123, 217–223. MR 1756407
  • V. L. Popov and È. B. Vinberg, Invariant theory, Encyclopaedia of Mathematical Sciences, 55, Springer-Verlag, 1994, 123–278.
  • È. B. Vinberg, Basics of algebra, First year, First Semester, Independent Univ. Moscow, 1995, 184 pp.
  • È. B. Vinberg, Lectures in algebra, Second year, First and Second Semesters, Independent Univ. Moscow, 1995, 150 pp.
  • V. A. Artamonov, Yu. A. Bakhturin, È. B. Vinberg, et al., Problems in algebra, A. I. Kostrikin (Ed.), Faktorial, Moscow, 1995, 454 pp.
  • È. B. Vinberg, Ĭ. Mennike, and Kh. Khelling, On some generalized triangular groups and three-dimensional orbifolds, Trudy Moskov. Mat. Obshch. 56 (1995), 5–32, 350 (Russian, with Russian summary); English transl., Trans. Moscow Math. Soc. (1995), 1–21. MR 1468463
  • È. B. Vinberg, Generalized derivations of algebras, Algebra and analysis (Irkutsk, 1989) Amer. Math. Soc. Transl. Ser. 2, vol. 163, Amer. Math. Soc., Providence, RI, 1995, pp. 185–188. MR 1331395, DOI 10.1090/trans2/163/16
  • F. I. Karpelevich, A. L. Onishchik, and E. B. Vinberg, On the work of E. B. Dynkin in the theory of Lie groups, Lie groups and Lie algebras: E. B. Dynkin’s Seminar, Amer. Math. Soc. Transl. Ser. 2, vol. 169, Amer. Math. Soc., Providence, RI, 1995, pp. 1–13. MR 1364449, DOI 10.1090/trans2/169/01
  • E. B. Vinberg, On reductive algebraic semigroups, Lie groups and Lie algebras: E. B. Dynkin’s Seminar, Amer. Math. Soc. Transl. Ser. 2, vol. 169, Amer. Math. Soc., Providence, RI, 1995, pp. 145–182. MR 1364458, DOI 10.1090/trans2/169/10
  • Ernest B. Vinberg, The asymptotic semigroup of a semisimple Lie group, Semigroups in algebra, geometry and analysis (Oberwolfach, 1993) De Gruyter Exp. Math., vol. 20, de Gruyter, Berlin, 1995, pp. 293–310. MR 1350337
  • E. B. Vinberg, On invariants of a set of matrices, J. Lie Theory 6 (1996), no. 2, 249–269. MR 1424635
  • È. B. Vinberg, Groups defined by periodic pairwise relations, Mat. Sb. 188 (1997), no. 9, 3–12 (Russian, with Russian summary); English transl., Sb. Math. 188 (1997), no. 9, 1269–1278. MR 1481661, DOI 10.1070/SM1997v188n09ABEH000254
  • È. B. Vinberg, Invariants of $2\times 2$ matrices, Preprint 97-084, Universität Bielefeld, 1997, 16 pp.
  • È. B. Vinberg, On limits of algebraic subgroups, Notes of Tambov Unievrsity, 2:4 (1997), 420–427.
  • È. B. Vinberg, Classification of 2-reflective hyperbolic lattices of rank 4, Tr. Mosk. Mat. Obs. 68 (2007), 44–76 (Russian, with Russian summary); English transl., Trans. Moscow Math. Soc. (2007), 39–66. MR 2429266, DOI 10.1090/s0077-1554-07-00160-4
  • E. B. Vinberg, A course in algebra, Graduate Studies in Mathematics, vol. 56, American Mathematical Society, Providence, RI, 2003. Translated from the 2001 Russian original by Alexander Retakh. MR 1974508, DOI 10.1090/gsm/056
  • D. N. Akhiezer and E. B. Vinberg, Weakly symmetric spaces and spherical varieties, Transform. Groups 4 (1999), no. 1, 3–24. MR 1669186, DOI 10.1007/BF01236659
  • D. I. Panyushev and E. B. Vinberg, An infinitesimal characterization of the complexity of homogeneous spaces, Transform. Groups 4 (1999), no. 1, 97–101. MR 1669170, DOI 10.1007/BF01236663
  • È. B. Vinberg, On stability of actions of reductive algebraic groups, Lie Algebras, Rings and Related Topics, eds. Y. Fong, A. A. Mikhalev, E. Zelmanov, Springer-Verlag, 2000, 188–202.
  • E. B. Vinberg, V. V. Gorbatsevich, and O. V. Shvartsman, Discrete subgroups of Lie groups [ MR0968445 (90c:22036)], Lie groups and Lie algebras, II, Encyclopaedia Math. Sci., vol. 21, Springer, Berlin, 2000, pp. 1–123, 217–223. MR 1756407
  • E. B. Vinberg and R. Kaplinsky, Pseudo-finite generalized triangle groups, Groups: topological, combinatorial and arithmetic aspects, London Math. Soc. Lecture Note Ser., vol. 311, Cambridge Univ. Press, Cambridge, 2004, pp. 564–587. MR 2073359, DOI 10.1017/CBO9780511550706.018
  • G. A. Margulis and È. B. Vinberg, Some linear groups virtually having a free quotient, J. Lie Theory 10 (2000), no. 1, 171–180. MR 1748082
  • È. B. Vinberg, Commutative homogeneous spaces and co-isotropic symplectic actions, Uspekhi Mat. Nauk 56 (2001), no. 1(337), 3–62 (Russian, with Russian summary); English transl., Russian Math. Surveys 56 (2001), no. 1, 1–60. MR 1845642, DOI 10.1070/rm2001v056n01ABEH000356
  • È. B. Vinberg, I. M. Gel′fand, S. G. Gindikin et al., Fridrikh Izrailevich Karpelevich, Uspekhi Mat. Nauk 56 (2001), no. 1(337), 147–152 (Russian); English transl., Russian Math. Surveys 56 (2001), no. 1, 141–147. MR 1845645, DOI 10.1070/rm2001v056n01ABEH000356
  • È. B. Vinberg, E. S. Golod, E. I. Zel′manov et al., Alekseĭ Ivanovich Kostrikin [1929–2000], Uspekhi Mat. Nauk 56 (2001), no. 3(339), 143–145 (Russian); English transl., Russian Math. Surveys 56 (2001), no. 3, 559–561. MR 1859725, DOI 10.1070/RM2001v056n03ABEH000395
  • E. B. Vinberg, A course in algebra, Graduate Studies in Mathematics, vol. 56, American Mathematical Society, Providence, RI, 2003. Translated from the 2001 Russian original by Alexander Retakh. MR 1974508, DOI 10.1090/gsm/056
  • V. A. Artamonov, Yu. A. Bakhturin, È. B. Vinberg, et al., Problems in algebra, 3rd revised edition, A. I. Kostrikin (Ed.), Faktorial, Moscow, 2001, 464 pp.
  • E. B. Vinberg, Equivariant symplectic geometry of cotangent bundles, Mosc. Math. J. 1 (2001), no. 2, 287–299, 304 (English, with English and Russian summaries). MR 1878279, DOI 10.17323/1609-4514-2001-1-2-287-299
  • E. B. Vinberg, A course in algebra, Graduate Studies in Mathematics, vol. 56, American Mathematical Society, Providence, RI, 2003. Translated from the 2001 Russian original by Alexander Retakh. MR 1974508, DOI 10.1090/gsm/056
  • J. Hilgert, A. Pasquale, and E. B. Vinberg, The dual horospherical Radon transform for polynomials, Mosc. Math. J. 2 (2002), no. 1, 113–126, 199 (English, with English and Russian summaries). MR 1900587, DOI 10.17323/1609-4514-2002-2-1-113-126
  • Guennadi A. Noskov and Èrnest B. Vinberg, Strong Tits alternative for subgroups of Coxeter groups, J. Lie Theory 12 (2002), no. 1, 259–264. MR 1885045
  • È. B. Vinberg, Kaleidoscopes and reflection groups, Mat. Prosveshchenie, 7, MCCME, Moscow, 2003, 45–63.
  • È. B. Vinberg, Commutative homogeneous spaces of Heisenberg type, Tr. Mosk. Mat. Obs. 64 (2003), 54–89 (Russian, with Russian summary); English transl., Trans. Moscow Math. Soc. (2003), 45–78. MR 2030186
  • D. N. Akhiezer, È. B. Vinberg, V. V. Gorbatsevich et al., Arkadiĭ L′vovich Onishchik (on the occasion of his seventieth birthday), Uspekhi Mat. Nauk 58 (2003), no. 6(354), 193–200 (Russian); English transl., Russian Math. Surveys 58 (2003), no. 6, 1245–1253. MR 2054110, DOI 10.1070/RM2003v058n06ABEH000695
  • E. B. Vinberg, A course in algebra, Graduate Studies in Mathematics, vol. 56, American Mathematical Society, Providence, RI, 2003. Translated from the 2001 Russian original by Alexander Retakh. MR 1974508, DOI 10.1090/gsm/056
  • J. Hilgert, A. Pasquale, and E. B. Vinberg, The dual horospherical Radon transform as a limit of spherical Radon transforms, Lie groups and symmetric spaces, Amer. Math. Soc. Transl. Ser. 2, vol. 210, Amer. Math. Soc., Providence, RI, 2003, pp. 135–143. MR 2018358, DOI 10.1090/trans2/210/10
  • E. B. Vinberg and R. Kaplinsky, Pseudo-finite generalized triangle groups, Groups: topological, combinatorial and arithmetic aspects, London Math. Soc. Lecture Note Ser., vol. 311, Cambridge Univ. Press, Cambridge, 2004, pp. 564–587. MR 2073359, DOI 10.1017/CBO9780511550706.018
  • E. B. Vinberg, Short $\textrm {SO}_3$-structures on simple Lie algebras and associated quasielliptic planes, Lie groups and invariant theory, Amer. Math. Soc. Transl. Ser. 2, vol. 213, Amer. Math. Soc., Providence, RI, 2005, pp. 243–270. MR 2140726, DOI 10.1090/trans2/213/16
  • Leonid Potyagailo and Ernest Vinberg, On right-angled reflection groups in hyperbolic spaces, Comment. Math. Helv. 80 (2005), no. 1, 63–73. MR 2130566, DOI 10.4171/CMH/4
  • È. B. Vinberg, Classification of 2-reflective hyperbolic lattices of rank 4, Tr. Mosk. Mat. Obs. 68 (2007), 44–76 (Russian, with Russian summary); English transl., Trans. Moscow Math. Soc. (2007), 39–66. MR 2429266, DOI 10.1090/s0077-1554-07-00160-4
  • E. B. Vinberg, On abelian coverings of surfaces, Michigan Math. J. 55 (2007), no. 3, 631–649. MR 2372619, DOI 10.1307/mmj/1197056460
  • E. B. Vinberg, On some number-theoretic conjectures of V. Arnold, Jpn. J. Math. 2 (2007), no. 2, 297–302. MR 2342588, DOI 10.1007/s11537-007-0705-4
  • È. B. Vinberg, Surprising arithmetic properties of binomial coefficients, Mat. Prosveshchenie, 12, MCCME, Moscow, 2008, 33–42.
  • È. B. Vinberg, Small Fermat theorem and its generalizations, Mat. Prosveshchenie, 12, MCCME, Moscow, 2008, 43–53.
  • I. Arzhantsev, S. Gusein-Zade, Yu. Ilyashenko et al., Ernest Borisovich Vinberg, Mosc. Math. J. 8 (2008), no. 4, 617–620. MR 2499349
  • Michael Kapovich, Leonid Potyagailo, and Ernest Vinberg, Noncoherence of some lattices in $\textrm {Isom}(\Bbb H^n)$, The Zieschang Gedenkschrift, Geom. Topol. Monogr., vol. 14, Geom. Topol. Publ., Coventry, 2008, pp. 335–351. MR 2484708, DOI 10.2140/gtm.2008.14.335
  • V. A. Arzhantev, V. A. Artamonov, Yu. A. Bakhturin, and È. B. Vinberg, et al., Problems in algebra, new revised edition, A. I. Kostrikin (Ed.), Nauka, Moscow, 2009, 408 pp.
  • A. G. Elashvili, V. G. Kac, and E. B. Vinberg, On exceptional nilpotents in semisimple Lie algebras, J. Lie Theory 19 (2009), no. 2, 371–390. MR 2572134
  • È. B. Vinberg, On automorphic forms on symmetric domains of type IV, Uspekhi Mat. Nauk 65 (2010), no. 3(393), 193–194 (Russian); English transl., Russian Math. Surveys 65 (2010), no. 3, 589–590. MR 2682724, DOI 10.1070/RM2010v065n03ABEH004684
  • E. B. Vinberg, Some free algebras of automorphic forms on symmetric domains of type IV, Transform. Groups 15 (2010), no. 3, 701–741. MR 2718942, DOI 10.1007/s00031-010-9107-4
  • Dmitri I. Panyushev and Ernest B. Vinberg, The work of Vladimir Morozov on Lie algebras, Transform. Groups 15 (2010), no. 4, 1001–1013. MR 2753267, DOI 10.1007/s00031-010-9097-2
  • E. B. Vinberg, A course in algebra, Graduate Studies in Mathematics, vol. 56, American Mathematical Society, Providence, RI, 2003. Translated from the 2001 Russian original by Alexander Retakh. MR 1974508, DOI 10.1090/gsm/056
  • H. Abels and E. B. Vinberg, Generating semisimple groups by tori, J. Algebra 328 (2011), 114–121. MR 2745556, DOI 10.1016/j.jalgebra.2010.04.021
  • Sergey Khoroshkin, Maxim Nazarov, and Ernest Vinberg, A generalized Harish-Chandra isomorphism, Adv. Math. 226 (2011), no. 2, 1168–1180. MR 2737780, DOI 10.1016/j.aim.2010.08.001
  • È. B. Vinberg, Some examples of Fuchsian groups sitting in $SL_2(\mathbb {Q})$, Preprint 12-011, Universität Bielefeld, 2012, 4 pp.
  • E. B. Vinberg, On the algebra of Siegel modular forms of genus 2, Trans. Moscow Math. Soc. , posted on (2013), 1–13. MR 3235787, DOI 10.1090/s0077-1554-2014-00217-x
  • W. A. de Graaf, E. B. Vinberg, and O. S. Yakimova, An effective method to compute closure ordering for nilpotent orbits of $\theta$-representations, J. Algebra 371 (2012), 38–62. MR 2975387, DOI 10.1016/j.jalgebra.2012.07.040
  • E. B. Vinberg, A course in algebra, Graduate Studies in Mathematics, vol. 56, American Mathematical Society, Providence, RI, 2003. Translated from the 2001 Russian original by Alexander Retakh. MR 1974508, DOI 10.1090/gsm/056
  • E. B. Vinberg, On the algebra of Siegel modular forms of genus 2, Trans. Moscow Math. Soc. , posted on (2013), 1–13. MR 3235787, DOI 10.1090/s0077-1554-2014-00217-x
  • A. G. Elashvili, V. G. Kac, and E. B. Vinberg, Cyclic elements in semisimple Lie algebras, Transform. Groups 18 (2013), no. 1, 97–130. MR 3022760, DOI 10.1007/s00031-013-9214-0
  • È. B. Vinberg, Limits of integrable Hamiltonians on semisimple Lie algebras, Funktsional. Anal. i Prilozhen. 48 (2014), no. 2, 39–50 (Russian, with Russian summary); English transl., Funct. Anal. Appl. 48 (2014), no. 2, 107–115. MR 3288175, DOI 10.1007/s10688-014-0051-2
  • È. B. Vinberg, A. N. Parshin, V. L. Popov, A. N. Panov, I. A. Panin, V. P. Platonov, and N. A. Vavilov, Valentin Evgen′evich Voskresenskiĭ, Uspekhi Mat. Nauk 69 (2014), no. 4(418), 177–178 (Russian); English transl., Russian Math. Surveys 69 (2014), no. 4, 753–754. MR 3400539, DOI 10.4213/rm9607
  • E. B. Vinberg, Non-arithmetic hyperbolic reflection groups in higher dimensions, Mosc. Math. J. 15 (2015), no. 3, 593–602, 606 (English, with English and Russian summaries). MR 3427439, DOI 10.17323/1609-4514-2015-15-3-593-602
  • È. B. Vinberg, On geometry textbook by A. V. Pogorelov, Mat. Prosveshchenie, 19, MCCME, Moscow, 2015, 199–205.
  • E. B. Vinberg, Non-arithmetic hyperbolic reflection groups in higher dimensions, Mosc. Math. J. 15 (2015), no. 3, 593–602, 606 (English, with English and Russian summaries). MR 3427439, DOI 10.17323/1609-4514-2015-15-3-593-602
  • A. Elashvili, M. Jibladze, and È. B. Vinberg, Moduli algebras of some simplest non-semiquasihomogeneous singularities, Preprint 15-039, Universität Bielefeld, 2015, 11 pp.
  • È. B. Vinberg and S. E. Kuznetsov, Evgeniĭ Borisovich Dynkin (obituary), Uspekhi Mat. Nauk 71 (2016), no. 2(428), 179–204 (Russian). MR 3588355, DOI 10.4213/rm9715
  • E. B. Vinberg, A course in algebra, Graduate Studies in Mathematics, vol. 56, American Mathematical Society, Providence, RI, 2003. Translated from the 2001 Russian original by Alexander Retakh. MR 1974508, DOI 10.1090/gsm/056
  • A. Elashvili, M. Jibladze, and È. B. Vinberg, Moduli algebras of some simplest non-semiquasihomogeneous singularities, Funct. Anal. Appl., 51:2 (2017),
  • È. B. Vinberg and O. V. Shvartsman, A criterion for smoothness at infinity for an arithmetic quotient of the future tube, Funktsional. Anal. i Prilozhen. 51 (2017), no. 1, 40–59. MR 36047781
  • U. Rehmann and E. Vinberg, On a phenomenon discovered by Heinz Helling, Transform. Groups 22 (2017), no. 1, 259–265. MR 3620773, DOI 10.1007/s00031-017-9416-y
Bibliographic Information
  • Published electronically: December 1, 2017
  • © Copyright 2017 American Mathematical Society
  • Journal: Trans. Moscow Math. Soc. 2017, 1-7
  • DOI: https://doi.org/10.1090/mosc/275
  • MathSciNet review: 3738076