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Editors’ preface. (English. Russian original) Zbl 1398.00117

Trans. Mosc. Math. Soc. 2017, 1-7 (2017); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 3-4 (2017).
From the text: This collection of articles (Volume 78 and part of Volume 79 of “Transactions of the Moscow Mathematical Society”) are devoted to the outstanding mathematician and remarkable teacher Ernest Borisovich Vinberg, who turned 80 on July 26, 2017.

MSC:

00B30 Festschriften
17-06 Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras
14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry

Biographic References:

Vinberg, Ernest Borisovich
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Full Text: DOI

References:

[1] Vinberg, \`E. B., On invariant linear connections, Dokl. Akad. Nauk SSSR, 128, 653-654 (1959) · Zbl 0113.37402
[2] Vinberg, \`E. B., Invariant linear connections in a homogeneous space, Trudy Moskov. Mat. Ob\v s\v c., 9, 191-210 (1960)
[3] Vinberg, \`E. B., Homogeneous cones, Soviet Math. Dokl., 1, 787-790 (1960) · Zbl 0143.05203
[4] Vinberg, \`E. B., The Morozov-Borel theorem for real Lie groups, Dokl. Akad. Nauk SSSR, 141, 270-273 (1961) · Zbl 0112.02505
[5] Vinberg, \`E. B., Convex homogeneous domains, Dokl. Akad. Nauk SSSR, 141, 521-524 (1961)
[6] Vinberg, \`E. B., Automorphisms of homogeneous convex cones, Dokl. Akad. Nauk SSSR, 143, 265-268 (1962)
[7] Vinberg, \`E. B., Lie groups and homogeneous spaces. Itogi Nauki (Algebra. Topology. 1962), 5-32 (1963), Akad. Nauk SSSR Inst. Nau\v cn. Informacii, Moscow
[8] Vinberg, \`E. B., The theory of homogeneous convex cones, Trudy Moskov. Mat. Ob\v s\v c., 12, 303-358 (1963) · Zbl 0138.43301
[9] Vinberg, \`E. B.; Gindikin, S. G.; Pjatecki\u\i-\v Sapiro, I. I., Classification and canonical realization of complex homogeneous bounded domains, Trudy Moskov. Mat. Ob\v s\v c., 12, 359-388 (1963)
[10] Vinberg, \`E. B., Structure of the group of automorphisms of a homogeneous convex cone, Trudy Moskov. Mat. Ob\v s\v c., 13, 56-83 (1965) · Zbl 0224.17010
[11] Vinberg, \`E. B., On the theorem concerning the infinite-dimensionality of an associative algebra, Izv. Akad. Nauk SSSR Ser. Mat., 29, 209-214 (1965) · Zbl 0171.29401
[12] Vinberg, \`E. B., Construction of the exceptional simple Lie algebras. Lie groups and invariant theory, Amer. Math. Soc. Transl. Ser. 2 213, 241-242 (2005), Amer. Math. Soc., Providence, RI · Zbl 1069.17003
[13] 13 \`E. B. Vinberg, Lectures on linear algebra and geometry, Moscow State University, Moscow, 1966, 81 pp.
[14] 14 \`“E. B. Vinberg and S. G. Gindikin, Construction of homogeneous K\'”ahler manifolds, Reports of Short Communications, Intern. Congress of Matehmticians, Moscow, 1966, Section 10, p.12
[15] 15 \`“E. B. Vinberg, S. G. Gindikin, and I. I. Piatesky-Shapiro, Homogeneous K\'”ahler manifolds, Proc. 4th All-Union Topology Conf. (Tashkent, 1967), 2967. pp. 45-57.
[16] \`E. B. Vinberg, Compact Lie Groups (Russian) (1967), Izdat. Moskov. Univ., Moscow
[17] \`E. B. Vinberg, Discrete groups generated by reflections in {L}oba\v cevski\u\ispaces, Mat. Sb. (N.S.), 72 (114), 471-488; correction, ibid. 73 (115) (1967), 303 (1967)
[18] 18 \`E. B. Vinberg, Letter to the Editor, Mat. Sb. 73(115):2 (1967), p. 303.
[19] Vinberg, \`“E. B.; Gindikin, S. G., K\'”ahler manifolds admitting a transitive solvable group of automorphisms, Mat. Sb. (N.S.), 74 (116), 357-377 (1967) · Zbl 0153.39903
[20] Vinberg, \`E. B.; Kac, V. G., Quasi-homogeneous cones, Mat. Zametki, 1, 347-354 (1967) · Zbl 0163.16902
[21] Andreev, E. M.; Vinberg, \`E. B.; \`Ela\v{s}vili, A. G., Orbits of highest dimension of semisimple linear {L}ie groups, Funkcional. Anal. i Prilo\v zen., 1, 4, 3-7 (1967) · Zbl 0176.30301
[22] Vinberg, \`E. B., Invariant norms in compact {L}ie algebras, Funkcional. Anal. i Prilo\v zen, 2, 2, 89-90 (1968) · Zbl 0172.18601
[23] Gindikin, S. G.; Pjatecki\u\i \v Sapiro, I. I.; Vinberg, \`“E. B., Homogeneous {K}\'”ahler manifolds, Geometry of {H}omogeneous {B}ounded {D}omains ({C}.{I}.{M}.{E}., 3 {C}iclo, {U}rbino, 1967), 3-87 (1968), Edizioni Cremonese, Rome
[24] Vinberg, \`E. B., Some examples of crystallographic groups in {L}oba\v cevski\u{i}spaces, Mat. Sb. (N.S.), 78 (120), 633-639 (1969)
[25] 25 \`E. B. Vinberg and A. L. Onishchik, Seminar on algebraic groups and Lie groups, Moscow State University, Moscow, 1969, 230 pp. · Zbl 0876.22001
[26] Vinberg, \`E. B., Geometric representations of {C}oxeter groups, Uspehi Mat. Nauk, 25, 2 (152), 267-268 (1970)
[27] Vinberg, \`E. B., Rings of definition of dense subgroups of semisimple linear groups, Izv. Akad. Nauk SSSR Ser. Mat., 35, 45-55 (1971) · Zbl 0252.20043
[28] Vinberg, \`E. B., Discrete linear groups that are generated by reflections, Izv. Akad. Nauk SSSR Ser. Mat., 35, 1072-1112 (1971)
[29] Vinberg, \`E. B., The groups of units of certain quadratic forms, Mat. Sb. (N.S.), 87 (129), 18-36 (1972)
[30] Vinberg, \`E. B., Algebraic transformation groups of maximal rank, Mat. Sb. (N.S.), 88 (130), 493-503 (1972)
[31] Vinberg, \`E. B., The unimodular integral quadratic forms, Funkcional. Anal. i Prilo\v zen., 6, 2, 24-31 (1972) · Zbl 0252.10027
[32] Vinberg, \`E. B.; Popov, V. L., A certain class of quasihomogeneous affine varieties, Izv. Akad. Nauk SSSR Ser. Mat., 36, 749-764 (1972)
[33] Vinberg, \`E. B., Certain properties of the root decomposition of a semisimple {L}ie algebra over a non-algebraically closed field, Funkcional. Anal. i Prilo\v zen., 9, 1, 20-24 (1975)
[34] Vinberg, \`E. B., Linear groups that are connected with periodic automorphisms of semisimple algebraic groups, Dokl. Akad. Nauk SSSR, 221, 4, 767-770 (1975)
[35] Vinberg, \`E. B., The {S}choenflies-{B}ieberbach theorem, Dokl. Akad. Nauk SSSR, 221, 5, 1013-1015 (1975) · Zbl 0336.20037
[36] Vinberg, \`E. B., The classification of nilpotent elements of graded {L}ie algebras, Dokl. Akad. Nauk SSSR, 225, 4, 745-748 (1975)
[37] Vinberg, \`E. B., Some arithmetical discrete groups in Loba\v{c}evski\u\ispaces. Discrete subgroups of Lie groups and applications to moduli, Internat. Colloq., Bombay, 1973, 323-348 (1975), Oxford Univ. Press, Bombay
[38] Vinberg, \`E. B., The {W}eyl group of a graded {L}ie algebra, Izv. Akad. Nauk SSSR Ser. Mat., 40, 3, 488-526, 709 (1976) · Zbl 0363.20035
[39] Kac, V. G.; Popov, V. L.; Vinberg, \`“E. B., Sur les groupes lin\'”eaires alg\'ebriques dont l’alg\`“ebre des invariants est libre, C. R. Acad. Sci. Paris S\'”er. A-B, 283, 12, Ai, A875- A878 (1976)
[40] Vinberg, \`E. B.; Kaplinskaja, I. M., The groups {\(O_{18,1}(Z)\)} and {\(O_{19,1}(Z)\)}, Dokl. Akad. Nauk SSSR, 238, 6, 1273-1275 (1978) · Zbl 0402.20034
[41] Vinberg, \`E. B.; Kimel{\textprime}fel\cprime d, B. N., Homogeneous domains on flag manifolds and spherical subsets of semisimple {L}ie groups, Funktsional. Anal. i Prilozhen., 12, 3, 12-19, 96 (1978)
[42] Vinberg, \`E. B.; Svarcman, O. V., Riemann surfaces, Algebra, {T}opology, {G}eometry, {V}ol. 16 ({R}ussian), 191-245, 247 (errata insert) (1978), VINITI, Moscow
[43] Vinberg, \`E. B.; \`Ela\v{s}vili, A. G., A classification of the three-vectors of nine-dimensional space, Trudy Sem. Vektor. Tenzor. Anal., 18, 197-233 (1978) · Zbl 0441.15010
[44] Kac, V.; Vinberg, E., Spinors of {\(13\)}-dimensional space, Adv. in Math., 30, 2, 137-155 (1978) · Zbl 0429.20043
[45] Vinberg, \`E. B., Classification of homogeneous nilpotent elements of a semisimple graded {L}ie algebra, Trudy Sem. Vektor. Tenzor. Anal., 19, 155-177 (1979) · Zbl 0431.17006
[46] 46 \`E. B. Vinberg, Algebra of polynomials, Prosveshchenie, Moscow, 1980, 175 pp. · Zbl 0525.12017
[47] Vinberg, \`E. B., Invariant convex cones and orderings in {L}ie groups, Funktsional. Anal. i Prilozhen., 14, 1, 1-13, 96 (1980) · Zbl 0452.22014
[48] 48 \`E. B. Vinberg, On the closure of an orbit of a resuctive linear group, Algebra, Moscow State Univ., 1980 31-36.
[49] Vinberg, \`E. B., The nonexistence of crystallographic reflection groups in {L}obachevski\u\ispaces of large dimension, Funktsional. Anal. i Prilozhen., 15, 2, 67-68 (1981) · Zbl 0462.51013
[50] Vinberg, \`E. B., Rationality of the field of invariants of a triangular group, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 2, 23-24, 115 (1982) · Zbl 0493.14005
[51] Vinberg, \`E. B., Effective theory of invariants, Algebra, 27-33 (1982), Moskov. Gos. Univ., Moscow
[52] Vinberg, \`E. B., Discrete groups of reflections in {L}obachevski\u{i}spaces of large dimensions. Modules and algebraic groups, 2, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 132, 62-68 (1983)
[53] Vinberg, \`E. B., Reflective hyperbolic lattices, Dokl. Akad. Nauk SSSR, 272, 6, 1298-1301 (1983)
[54] Vinberg, \`E. B., Discrete reflection groups in {L}obachevsky spaces, Proceedings of the {I}nternational {C}ongress of {M}athematicians, {V}ol.1, 2 ({W}arsaw, 1983), 593-601 (1984), PWN, Warsaw · Zbl 0563.51011
[55] Vinberg, \`E. B., The two most algebraic {\(K3\)}surfaces, Math. Ann., 265, 1, 1-21 (1983) · Zbl 0537.14025
[56] Vinberg, \`E. B., Absence of crystallographic groups of reflections in {L}obachevski\u{i}spaces of large dimension, Trudy Moskov. Mat. Obshch., 47, 68-102, 246 (1984) · Zbl 0462.51013
[57] Vinberg, \`E. B., Hyperbolic groups of reflections, Uspekhi Mat. Nauk, 40, 1(241), 29-66, 255 (1985)
[58] Vinberg, \`“E. B., Linear representations of groups (Russian) (1985), “‘Nauka”, Moscow · Zbl 0566.20004
[59] Vinberg, \`E. B., Complexity of actions of reductive groups, Funktsional. Anal. i Prilozhen., 20, 1, 1-13, 96 (1986) · Zbl 0601.14038
[60] Vinberg, \`E. B., Reflection subgroups in {B}ianchi groups, Problems in group theory and homological algebra ({R}ussian), Matematika, 121-127 (1987), Yaroslav. Gos. Univ., Yaroslavl\cprime · Zbl 0708.20016
[61] 61 V. A. Artamonov, Yu. A Bakhturin, and \`E. B. Vinberg, et al., Problems in Algebra, A. I. Kostrikin (Ed.), Nauka, Moscow, 1987, 352 pp. · Zbl 0626.00003
[62] Vinberg, \`“E. B.; Onishchik, A. L., Seminar on Lie groups and algebraic groups (Russian) (1988), “‘Nauka”, Moscow · Zbl 0648.22009
[63] Vinberg, \`E. B.; Onishchik, A. L., Foundations of the theory of {L}ie groups, Current problems in mathematics. {F}undamental directions, {V}ol.20 ({R}ussian), Itogi Nauki i Tekhniki, 5-101, 246 (1988), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow · Zbl 0656.22002
[64] Vinberg, \`E. B.; Gorbatsevich, V. V.; Shvartsman, O. V., Discrete subgroups of {L}ie groups, Current problems in mathematics. {F}undamental directions, {V}ol.21 ({R}ussian), Itogi Nauki i Tekhniki, 5-120, 215 (1988), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow · Zbl 0656.22004
[65] 65 D. V. Alekseevskii, \`E. 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.
[66] 66 O. V. Shvartsman and \`E. 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. · Zbl 0699.22017
[67] Vinberg, \`E. B., Real entire functions with prescribed critical values, Problems in group theory and in homological algebra ({R}ussian), 127-138 (1989), Yaroslav. Gos. Univ., Yaroslavl\cprime · Zbl 0741.30037
[68] Vinberg, \`E. B.; Popov, V. L., Invariant theory, Algebraic geometry, 4 ({R}ussian), Itogi Nauki i Tekhniki, 137-314, 315 (1989), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow · Zbl 0789.14008
[69] Vinberg, \`“E. B., Linear representations of groups, Basler Lehrb\'”ucher [Basel Textbooks] 2 (1989), Birkh\"auser Verlag, Basel · Zbl 1206.20008
[70] Vinberg, \`E. B., Some commutative subalgebras of a universal enveloping algebra, Izv. Akad. Nauk SSSR Ser. Mat., 54, 1, 3-25, 221 (1990)
[71] Vinberg, \`E. B.; Gorbatsevich, V. V.; Onishchik, A. L., Structure of {L}ie groups and {L}ie algebras, Current problems in mathematics. {F}undamental directions, {V}ol.41 ({R}ussian), Itogi Nauki i Tekhniki, 5-259 (1990), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow · Zbl 0733.22003
[72] Onishchik, A. L.; Vinberg, \`E. B., Lie groups and algebraic groups, Springer Series in Soviet Mathematics (1990), Springer-Verlag, Berlin · Zbl 0722.22004
[73] Vinberg, \`E. B., The volume of polyhedra on a sphere and in {L}obachevsky space, Algebra and analysis ({K}emerovo, 1988), Amer. Math. Soc. Transl. Ser. 2 148, 15-27 (1991), Amer. Math. Soc., Providence, RI · Zbl 0742.51019
[74] 74 H. Helling, J. J. Mennicke, and \`“E. B. Vinberg, On some general triangle groups and 3-dimensional orbifolds, Preprint 91-057, Universit\'”at Bielefeld, 1991, 10 pp. · Zbl 0867.22009
[75] 75 \`E. B. Vinberg, Lectures in algebra, First year, Second Semester, Independent Univ. Moscow, 1993, 103 pp.
[76] Vinberg, \`E. B., The smallest field of definition of a subgroup of the group {\({\rm PSL}_2\)}, Mat. Sb., 184, 10, 53-66 (1993) · Zbl 0831.20061
[77] Vinberg, \`E. B., Volumes of non-{E}uclidean polyhedra, Uspekhi Mat. Nauk, 48, 2(290), 17-46 (1993) · Zbl 0799.01019
[78] Onishchik, A. L.; Vinberg, \`E. B., Foundations of {L}ie theory [see {MR}0950861 (89m:22010)], Lie groups and {L}ie algebras, {I}, Encyclopaedia Math. Sci. 20, 1-94, 231-235 (1993), Springer, Berlin
[79] Alekseevskij, D. V.; Vinberg, \`E. B.; Solodovnikov, A. S., Geometry of spaces of constant curvature, Geometry, {II}, Encyclopaedia Math. Sci. 29, 1-138 (1993), Springer, Berlin · Zbl 0787.53001
[80] Vinberg, \`E. B.; Shvartsman, O. V., Discrete groups of motions of spaces of constant curvature, Geometry, {II}, Encyclopaedia Math. Sci. 29, 139-248 (1993), Springer, Berlin
[81] Vinberg, \`E. B.; Gorbatsevich, V. V.; Shvartsman, O. V., Discrete subgroups of {L}ie groups [{MR}0968445 (90c:22036)], Lie groups and {L}ie algebras, {II}, Encyclopaedia Math. Sci. 21, 1-123, 217-223 (2000), Springer, Berlin
[82] 82 V. L. Popov and \`E. B. Vinberg, Invariant theory, Encyclopaedia of Mathematical Sciences, 55, Springer-Verlag, 1994, 123-278.
[83] 83 \`E. B. Vinberg, Basics of algebra, First year, First Semester, Independent Univ. Moscow, 1995, 184 pp.
[84] 84 \`E. B. Vinberg, Lectures in algebra, Second year, First and Second Semesters, Independent Univ. Moscow, 1995, 150 pp.
[85] 85 V. A. Artamonov, Yu. A. Bakhturin, \`E. B. Vinberg, et al., Problems in algebra, A. I. Kostrikin (Ed.), Faktorial, Moscow, 1995, 454 pp. · Zbl 0616.00001
[86] Vinberg, \`E. B.; Mennike, \u{I}.; Khelling, Kh., On some generalized triangular groups and three-dimensional orbifolds, Trudy Moskov. Mat. Obshch., 56, 5-32, 350 (1995)
[87] Vinberg, \`E. B., Generalized derivations of algebras, Algebra and analysis ({I}rkutsk, 1989), Amer. Math. Soc. Transl. Ser. 2 163, 185-188 (1995), Amer. Math. Soc., Providence, RI · Zbl 0828.16040
[88] Karpelevich, F. I.; Onishchik, A. L.; Vinberg, \`“E. B., On the work of {\`E}. {B}. {D}ynkin in the theory of {L}ie groups, Lie groups and {L}ie algebras: {\`E}. {B}. {D}ynkin”s {S}eminar, Amer. Math. Soc. Transl. Ser. 2 169, 1-13 (1995), Amer. Math. Soc., Providence, RI · Zbl 0840.22002
[89] Vinberg, \`“E. B., On reductive algebraic semigroups, Lie groups and {L}ie algebras: {E}. {B}. {D}ynkin”s {S}eminar, Amer. Math. Soc. Transl. Ser. 2 169, 145-182 (1995), Amer. Math. Soc., Providence, RI · Zbl 0840.20041
[90] Vinberg, \`E. B., The asymptotic semigroup of a semisimple {L}ie group, Semigroups in algebra, geometry and analysis ({O}berwolfach, 1993), De Gruyter Exp. Math. 20, 293-310 (1995), de Gruyter, Berlin · Zbl 0854.22018
[91] Vinberg, \`E. B., On invariants of a set of matrices, J. Lie Theory, 6, 2, 249-269 (1996) · Zbl 0884.14006
[92] Vinberg, \`E. B., Groups defined by periodic pairwise relations, Mat. Sb., 188, 9, 3-12 (1997) · Zbl 0901.20017
[93] 93 \`“E. B. Vinberg, Invariants of \(2\times 2\) matrices, Preprint 97-084, Universit\'”at Bielefeld, 1997, 16 pp.
[94] 94 \`E. B. Vinberg, On limits of algebraic subgroups, Notes of Tambov Unievrsity, 2:4 (1997), 420-427.
[95] 95 \`“E. B. Vinberg, Classification of 2-reflective hyperbolic lattices of rank 4, Preprint 98-113, Universit\'”at Bielefeld, 1998, 35 pp. · Zbl 1207.11073
[96] 96 \`E. B. Vinberg, A course in algebra, Faktorial, Moscow, 1999, 527 pp.
[97] Akhiezer, D. N.; Vinberg, \`E. B., Weakly symmetric spaces and spherical varieties, Transform. Groups, 4, 1, 3-24 (1999) · Zbl 0916.53024
[98] Panyushev, D. I.; Vinberg, \`E. B., An infinitesimal characterization of the complexity of homogeneous spaces, Transform. Groups, 4, 1, 97-101 (1999) · Zbl 0940.14037
[99] 99 \`E. 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. · Zbl 1054.14064
[100] 100 V. V. Gorbatsevich, O. V. Shvartsman, \`E. B. Vinberg, Discrete subgroups of Lie groups, Encyclopaedia of Mathematical Sciences, 20, Springer-Verlag, 2000, 1-123.
[101] 101 Y. Kaplinsky and \`“E. B. Vinberg, Pseudo-finite generalized triangle groups, Preprint 00-003, Universit\'”at Bielefeld, 2000, 28 pp.
[102] Margulis, G. A.; Vinberg, \`E. B., Some linear groups virtually having a free quotient, J. Lie Theory, 10, 1, 171-180 (2000) · Zbl 0958.22008
[103] Vinberg, \`E. B., Commutative homogeneous spaces and co-isotropic symplectic actions, Uspekhi Mat. Nauk, 56, 1(337), 3-62 (2001) · Zbl 0996.53034
[104] Vinberg, \`E. B.; Gel{\textprime}fand, I. M.; Gindikin, S. G.; et al., Fridrikh {I}zrailevich {K}arpelevich, Uspekhi Mat. Nauk, 56, 1(337), 147-152 (2001) · Zbl 0996.53034
[105] Vinberg, \`E. B.; Golod, E. S.; Zel{\textprime}manov, E. I.; et al., Alekse\u\i{I}vanovich {K}ostrikin [1929-2000], Uspekhi Mat. Nauk, 56, 3(339), 143-145 (2001) · Zbl 1017.01516
[106] 106 \`E. B. Vinberg, A course in algebra, 2nd revised edition, Faktorial, Moscow, 2001, 543 pp.
[107] 107 V. A. Artamonov, Yu. A. Bakhturin, \`E. B. Vinberg, et al., Problems in algebra, 3rd revised edition, A. I. Kostrikin (Ed.), Faktorial, Moscow, 2001, 464 pp. · Zbl 0616.00001
[108] Vinberg, \`E. B., Equivariant symplectic geometry of cotangent bundles, Mosc. Math. J., 1, 2, 287-299, 304 (2001) · Zbl 1045.14020
[109] 109 \`E. B. Vinberg, A course in algebra, 3rd revised edition, Faktorial, Moscow, 2002, 544 pp.
[110] Hilgert, J.; Pasquale, A.; Vinberg, \`E. B., The dual horospherical {R}adon transform for polynomials, Mosc. Math. J., 2, 1, 113-126, 199 (2002) · Zbl 1003.43008
[111] Noskov, G. A.; Vinberg, \`E. B., Strong {T}its alternative for subgroups of {C}oxeter groups, J. Lie Theory, 12, 1, 259-264 (2002) · Zbl 0999.20029
[112] 112 \`E. B. Vinberg, Kaleidoscopes and reflection groups, Mat. Prosveshchenie, 7, MCCME, Moscow, 2003, 45-63.
[113] Vinberg, \`E. B., Commutative homogeneous spaces of {H}eisenberg type, Tr. Mosk. Mat. Obs., 64, 54-89 (2003) · Zbl 1068.22015
[114] Akhiezer, D. N.; Vinberg, \`E. B.; Gorbatsevich, V. V.; et al., Arkadi\u\i{L}\cprime vovich {O}nishchik (on the occasion of his seventieth birthday), Uspekhi Mat. Nauk, 58, 6(354), 193-200 (2003) · Zbl 1050.01508
[115] Vinberg, \`E. B., A course in algebra, Graduate Studies in Mathematics 56 (2003), American Mathematical Society, Providence, RI · Zbl 1016.00003
[116] Hilgert, J.; Pasquale, A.; Vinberg, E. B., The dual horospherical {R}adon transform as a limit of spherical {R}adon transforms, Lie groups and symmetric spaces, Amer. Math. Soc. Transl. Ser. 2 210, 135-143 (2003), Amer. Math. Soc., Providence, RI · Zbl 1049.53053
[117] Vinberg, \`E. B.; Kaplinsky, R., Pseudo-finite generalized triangle groups, Groups: topological, combinatorial and arithmetic aspects, London Math. Soc. Lecture Note Ser. 311, 564-587 (2004), Cambridge Univ. Press, Cambridge · Zbl 1091.20025
[118] Vinberg, \`E. B., Short {\({\rm SO}_3\)}-structures on simple {L}ie algebras and associated quasielliptic planes, Lie groups and invariant theory, Amer. Math. Soc. Transl. Ser. 2 213, 243-270 (2005), Amer. Math. Soc., Providence, RI · Zbl 1081.17009
[119] Potyagailo, L.; Vinberg, \`E., On right-angled reflection groups in hyperbolic spaces, Comment. Math. Helv., 80, 1, 63-73 (2005) · Zbl 1072.20046
[120] Vinberg, \`E. B., Classification of 2-reflective hyperbolic lattices of rank 4, Tr. Mosk. Mat. Obs., 68, 44-76 (2007) · Zbl 1207.11073
[121] Vinberg, \`E. B., On abelian coverings of surfaces, Michigan Math. J., 55, 3, 631-649 (2007) · Zbl 1168.57003
[122] Vinberg, \`E. B., On some number-theoretic conjectures of {V}. {A}rnold, Jpn. J. Math., 2, 2, 297-302 (2007) · Zbl 1168.05004
[123] 123 \`E. B. Vinberg, Surprising arithmetic properties of binomial coefficients, Mat. Prosveshchenie, 12, MCCME, Moscow, 2008, 33-42.
[124] 124 \`E. B. Vinberg, Small Fermat theorem and its generalizations, Mat. Prosveshchenie, 12, MCCME, Moscow, 2008, 43-53.
[125] 125 S. M. Gusein-Zade, Yu. S. Ilyashenko,  G. A. Kabatiansky, S. K. Lando, A. G. Sergeev, O. K. Sheinman, O. V. Schwarzman, M. A. Tsfasman, \`E. B. Vinberg, Sergey Natanzon, Mosc. Math. J., 8:4 (2008), 843-844.
[126] Kapovich, M.; Potyagailo, L.; Vinberg, \`E., Noncoherence of some lattices in {\({\rm Isom}(\Bbb H^n)\)}, The {Z}ieschang {G}edenkschrift, Geom. Topol. Monogr. 14, 335-351 (2008), Geom. Topol. Publ., Coventry · Zbl 1139.22007
[127] 127 V. A. Arzhantev, V. A. Artamonov, Yu. A. Bakhturin, and \`E. B. Vinberg, et al., Problems in algebra, new revised edition, A. I. Kostrikin (Ed.), Nauka, Moscow, 2009, 408 pp.
[128] Elashvili, A. G.; Kac, V. G.; Vinberg, \`E. B., On exceptional nilpotents in semisimple {L}ie algebras, J. Lie Theory, 19, 2, 371-390 (2009) · Zbl 1252.17006
[129] Vinberg, \`E. B., On automorphic forms on symmetric domains of type {IV}, Uspekhi Mat. Nauk, 65, 3(393), 193-194 (2010) · Zbl 1248.32011
[130] Vinberg, \`E. B., Some free algebras of automorphic forms on symmetric domains of type {IV}, Transform. Groups, 15, 3, 701-741 (2010) · Zbl 1225.05015
[131] Panyushev, D. I.; Vinberg, \`E. B., The work of {V}ladimir {M}orozov on {L}ie algebras, Transform. Groups, 15, 4, 1001-1013 (2010) · Zbl 1206.01057
[132] 132 \`E. B. Vinberg, A course in algebra, new revised edition, MCCME, Moscow, 2011, 590 pp.
[133] Abels, H.; Vinberg, \`E. B., Generating semisimple groups by tori, J. Algebra, 328, 114-121 (2011) · Zbl 1220.22005
[134] Khoroshkin, S.; Nazarov, M.; Vinberg, \`E., A generalized {H}arish-{C}handra isomorphism, Adv. Math., 226, 2, 1168-1180 (2011) · Zbl 1231.17005
[135] 135 \`“E. B. Vinberg, Some examples of Fuchsian groups sitting in \(SL_2(\mathbbQ)\), Preprint 12-011, Universit\'”at Bielefeld, 2012, 4 pp.
[136] 136 \`“E. B. Vinberg, On the algebra of Siegel modular forms of genus 2, Preprint 12-088, Universit\'”at Bielefeld, 2012, 14 pp. · Zbl 1302.05005
[137] de Graaf, W. A.; Vinberg, \`E. B.; Yakimova, O. S., An effective method to compute closure ordering for nilpotent orbits of {\( \theta \)}-representations, J. Algebra, 371, 38-62 (2012) · Zbl 1317.17011
[138] 138 \`E. B. Vinberg, A course in algebra, 2nd new edition, MCCME, Moscow, 2013, 590 pp.
[139] Vinberg, \`E. B., On the algebra of {S}iegel modular forms of genus 2, Trans. Moscow Math. Soc., 1-13 (2013) · Zbl 1302.05005
[140] Elashvili, A. G.; Kac, V. G.; Vinberg, \`E. B., Cyclic elements in semisimple {L}ie algebras, Transform. Groups, 18, 1, 97-130 (2013) · Zbl 1329.17007
[141] Vinberg, \`E. B., Limits of integrable {H}amiltonians on semisimple {L}ie algebras, Funktsional. Anal. i Prilozhen., 48, 2, 39-50 (2014) · Zbl 1354.17016
[142] Vinberg, \`E. B.; Parshin, A. N.; Popov, V. L.; Panov, A. N.; Panin, I. A.; Platonov, V. P.; Vavilov, N. A., Valentin {E}vgen\cprime evich {V}oskresenski\u\i, Uspekhi Mat. Nauk, 69, 4(418), 177-178 (2014)
[143] 143 \`“E. B. Vinberg, Non-arithmetic hyperbolic reflection groups in higher dimensions, Preprint 14-047, Universit\'”at Bielefeld, 2014, 10 pp. · Zbl 1359.51004
[144] 144 \`E. B. Vinberg, On geometry textbook by A. V. Pogorelov, Mat. Prosveshchenie, 19, MCCME, Moscow, 2015, 199-205.
[145] Vinberg, \`E. B., Non-arithmetic hyperbolic reflection groups in higher dimensions, Mosc. Math. J., 15, 3, 593-602, 606 (2015) · Zbl 1359.51004
[146] 146 A. Elashvili, M. Jibladze, and \`“E. B. Vinberg, Moduli algebras of some simplest non-semiquasihomogeneous singularities, Preprint 15-039, Universit\'”at Bielefeld, 2015, 11 pp. · Zbl 1387.14047
[147] Vinberg, \`E. B.; Kuznetsov, S. E., Evgeni\u\i{B}orisovich {D}ynkin (obituary), Uspekhi Mat. Nauk, 71, 2(428), 179-204 (2016) · Zbl 1344.01043
[148] 148 \`E. B. Vinberg, A course in algebra, 3rd new edition, MCCME, Moscow, 2017, 590 pp.
[149] 149 A. Elashvili, M. Jibladze, and \`E. B. Vinberg, Moduli algebras of some simplest non-semiquasihomogeneous singularities, Funct. Anal. Appl., 51:2 (2017), · Zbl 1387.14047
[150] Vinberg, \`E. B.; Shvartsman, O. V., A criterion for smoothness at infinity for an arithmetic quotient of the future tube, Funktsional. Anal. i Prilozhen., 51, 1, 40-59 (2017) · Zbl 1371.32016
[151] Rehmann, U.; Vinberg, \`E., On a phenomenon discovered by {H}einz {H}elling, Transform. Groups, 22, 1, 259-265 (2017) · Zbl 1387.30063
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