Edit Profile (opens in new tab) Vinberg, Èrnest Borisovich (b. 1937 d. 2020) Co-Author Distance Author ID: vinberg.ernest-b Published as: Vinberg, E. B.; Vinberg, È. B.; Vinberg, Eh. B.; Vinberg, Ernest B.; Vinberg, Ernest; Vinberg, Èrnest B.; Vinberg, É. B.; Viniberghi, E.; Vinberg, È B.; Vinberg, E. more...less Further Spellings: Винберг Эрнест Борисович Homepage: http://halgebra.math.msu.su/wiki/doku.php/staff:vinberg:english External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 154 Publications since 1959, including 12 Books 11 Contributions as Editor Reviewing Activity: 9 Reviews Biographic References: 7 Publications Co-Authors: 85 Co-Authors with 78 Joint Publications 2,375 Co-Co-Authors all top 5 Co-Authors 86 single-authored 13 Onishchik, Arkadiĭ L’vovich 7 Gorbatsevich, Vladimir Vital’evich 7 Popov, Vladimir Leonidovich 7 Shvartsman, O. V. 6 Elashvili, Alexander Grigorievich 6 Gindikin, Simon Grigorevich 5 Artamonov, Vyacheslav Aleksandrovich 5 Gamkrelidze, Revaz Valerianovich 5 Kac, Victor 4 Latyshev, Viktor Nikolaevich 4 Mikhalëv, Aleksandr Vasil’evich 3 Abels, Herbert 3 Akhiezer, Dmitriĭ Naumovich 3 Bahturin, Yuri 3 Golod, Evgeniĭ Solomonovich 3 Hilgert, Joachim 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Parshin, Alekseĭ Nikolaevich 3 Piatetski-Shapiro, Ilya 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Gufan, Yu. M. 2 Iskovskikh, Vasiliĭ Alekseevich 2 Kostrikin, Alekseĭ Ivanovich 2 Lawson, Jimmie Don 2 Panyushev, Dmitri Ivanovich 2 Pasquale, Angela 2 Potyagailo, Leonid 2 Shmel’kin, Al’fred L’vovich 2 Solodovnikov, A. S. 2 Yakimova, Oksana S. 1 Andreev, E. M. 1 Betelin, V. B. 1 Borbatsevich, V. V. 1 Bukhshtaber, Viktor Matveevich 1 Chubarov, Igor A. 1 de Graaf, Willem Adriaan 1 Dynkin, Evgeniĭ Borisovich 1 Gel’fand, Israil’ Moiseevich 1 Helling, Heinz 1 Hofmann, Karl Heinrich 1 Jibladze, Mamuka A. 1 Kaplinskaya, I. M. 1 Kaplinsky, R. 1 Kapovich, Michael 1 Karpelevich, Friedrich I. 1 Kazarin, Lev Sergeevich 1 Khoroshkin, Sergey M. 1 Kimel’fel’d, B. N. 1 Kulikov, Viktor Stepanovich 1 Kushnirenko, A. G. 1 Kuz’min, Leonid Viktorovich 1 Kuznetsov, Sergei E. 1 Lebedev, G. V. 1 Malyshev, Vadim Aleksandrovich 1 Manin, Yuriĭ Ivanovich 1 Margulis, Grigoriĭ Aleksandrovich 1 Mennicke, Jens L. 1 Minlos, Robert Adol’fovich 1 Nazarov, Maxim Leonidovich 1 Neeb, Karl-Hermann 1 Nemytov, A. I. 1 Noskov, Guennadi A. 1 Orlov, Dmitri O. 1 Panin, Ivan A. 1 Pankrat’ev, Evgeniĭ Vasil’evich 1 Panov, Aleksandr Nikolaevich 1 Piontkovskij, D. I. 1 Platonov, Vladimir Petrovich 1 Popov, Al. V. 1 Prilipko, A. A. 1 Prilipko, G. A. 1 Razmyslov, Yuri P. 1 Rehmann, Ulf 1 Rybko, Aleksandr N. 1 Sartori, Giorgio 1 Shafarevich, Igor’ Rostislavovich 1 Shakhnenko, V. P. 1 Shchetinin, A. N. 1 Shlosman, Senya B. 1 Sirotin, Yu. I. 1 Suhov, Yurii Mikhailovich 1 Talamini, Vittorino 1 Valente, Giovanni 1 Vavilov, Nikolaĭ Aleksandrovich 1 Zaĭtsev, Mikhail Vladimirovich 1 Zel’manov, Efim Isaakovich all top 5 Serials 11 Russian Mathematical Surveys 11 Functional Analysis and its Applications 9 Soviet Mathematics. Doklady 8 Transactions of the Moscow Mathematical Society 6 Journal of Lie Theory 6 Transformation Groups 6 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 5 Mathematics of the USSR. Izvestiya 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Matematicheskiĭ Sbornik. Novaya Seriya 4 Mathematics of the USSR, Sbornik 3 Advances in Mathematics 3 Funktsional’nyĭ Analiz i ego Prilozheniya 3 Selecta Mathematica Sovietica 3 Moscow Mathematical Journal 3 Encyclopaedia of Mathematical Sciences 3 Translations. Series 2. American Mathematical Society 2 Journal of Algebra 2 Journal of Soviet Mathematics 2 Trudy Seminara po Vektornomu i Tenzornomu Analizu 2 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal 2 De Gruyter Expositions in Mathematics 2 Translations. Series 2. American Mathematical Society 1 Communications in Algebra 1 Doklady Akademii Nauk SSSR 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Commentarii Mathematici Helvetici 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Soviet Physics. Crystallography 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Sbornik: Mathematics 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Advances in Soviet Mathematics 1 Basler Lehrbücher 1 Graduate Studies in Mathematics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Japanese Journal of Mathematics. 3rd Series 1 Voprosy Teorii Grupp i Gomologicheskoĭ Algebry 1 Modern Birkhäuser Classics all top 5 Fields 60 Group theory and generalizations (20-XX) 46 Topological groups, Lie groups (22-XX) 36 Nonassociative rings and algebras (17-XX) 26 Geometry (51-XX) 22 Algebraic geometry (14-XX) 17 General and overarching topics; collections (00-XX) 16 Differential geometry (53-XX) 15 Number theory (11-XX) 11 History and biography (01-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Manifolds and cell complexes (57-XX) 8 Convex and discrete geometry (52-XX) 7 Commutative algebra (13-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Functions of a complex variable (30-XX) 4 Field theory and polynomials (12-XX) 3 Abstract harmonic analysis (43-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 154 Publications have been cited 3,555 times in 2,632 Documents Cited by ▼ Year ▼ Lie groups and algebraic groups. Translated from the Russian by D. A. Leites. Zbl 0722.22004 Onishchik, A. L.; Vinberg, E. B. 376 1990 The theory of convex homogeneous cones. Zbl 0138.43301 Vinberg, E. B. 297 1963 Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin. Zbl 0797.22001 Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V. 236 1994 Invariant theory. Zbl 0789.14008 Popov, V. L.; Vinberg, Eh. B. 89 1989 Complexity of action of reductive groups. Zbl 0601.14038 Vinberg, È. B. 87 1986 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008 71 1993 The Weyl group of a graded Lie algebra. Zbl 0363.20035 Vinberg, È. B. 70 1976 Hyperbolic reflection groups. Zbl 0579.51015 Vinberg, È. B. 62 1985 The Weyl group of a graded Lie algebra. Zbl 0371.20041 Vinberg, È. B. 60 1977 Seminar on Lie groups and algebraic groups. (Семинар по группам Ли и алгебраическим группам.) Zbl 0648.22009 Vinberg, È. B.; Onishchik, A. L. 59 1988 Foundations of Lie theory and Lie transformation groups. Transl. from the Russian by A. Kozlowski. 2nd printing of the 1st ed. 1993. Zbl 0999.17500 57 1997 Discrete groups generated by reflections in Lobachevskii spaces. Zbl 0166.16303 Vinberg, È. B. 54 1967 A course in algebra. Transl. from the Russian by Alexander Retakh. Zbl 1016.00003 Vinberg, E. B. 52 2003 On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009 Vinberg, È. B. 51 1991 Structure of Lie groups and algebras. Zbl 0733.22003 Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L. 51 1990 Discrete linear groups generated by reflections. Zbl 0256.20067 Vinberg, E. B. 50 1972 On groups of unit elements of certain quadratic forms. Zbl 0252.20054 Vinberg, E. B. 49 1972 Invariant convex cones and orderings in Lie groups. Zbl 0452.22014 Vinberg, È. B. 47 1980 Commutative homogeneous spaces and co-isotropic symplectic actions. Zbl 0996.53034 Vinberg, È. B. 45 2001 Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups. Zbl 0439.53055 Vinberg, E. B.; Kimel’fel’d, B. N. 45 1979 Seminar on Lie groups and algebraic groups. 2nd ed. (Семинар по группам Ли и алгебраическим группам.) Zbl 0876.22001 Vinberg, È. B.; Onishchik, A. L. 44 1995 Some arithmetical discrete groups in Lobacevskii spaces. Zbl 0316.10013 Vinberg, E. B. 44 1975 Diskrete lineare Gruppen, die vermittels Spiegelungen erzeugt sind. Zbl 0247.20054 Vinberg, E. B. 43 1971 The two most algebraic K3 surfaces. Zbl 0537.14025 Vinberg, E. B. 42 1983 On reductive algebraic semigroups. Zbl 0840.20041 Vinberg, E. B. 42 1995 Geometry of spaces of constant curvature. Zbl 0787.53001 Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S. 41 1988 Rings of definition of dense subgroups of semisimple linear groups. Zbl 0252.20043 Vinberg, E. B. 40 1972 Orbits of greatest dimension in semisimple linear Lie groups. Zbl 0176.30301 Andreev, E. M.; Vinberg, È. B.; Èlashvili, A. G. 40 1967 Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012 Vinberg, È. B.; Shvartsman, O. V. 39 1988 On right-angled reflection groups in hyperbolic spaces. Zbl 1072.20046 Potyagailo, Leonid; Vinberg, Ernest 39 2005 The classification of three-vectors of the nine-dimensional space. Zbl 0441.15010 Vinberg, È. B.; Èlashvili, A. G. 38 1978 On a class of quasihomogeneous affine varieties. Zbl 0255.14016 Vinberg, E. B.; Popov, V. L. 38 1973 Homogeneous cones. Zbl 0143.05203 Vinberg, Eh. B. 37 1960 Invariant theory. Zbl 0735.14010 Popov, V. L.; Vinberg, Eh. B. 35 1989 Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603 Vinberg, È. B.; Piatetski-Shapiro, Ilya I. 34 1963 Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre. Zbl 0343.20023 Kac, Victor G.; Popov, Vladimir L.; Vinberg, Ernest B. 34 1976 Quasi-homogeneous cones. Zbl 0163.16902 Vinberg, È. B.; Kac, V. G. 32 1967 Spinors of 13-dimensional space. Zbl 0429.20043 Gatti, V.; Viniberghi, E. 31 1978 On the classification of the nilpotent elements of graded Lie algebras. Zbl 0374.17001 Vinberg, E. B. 30 1975 Weakly symmetric spaces and spherical varieties. Zbl 0916.53024 Akhiezer, D. N.; Vinberg, E. B. 29 1999 Some open problems in invariant theory. Zbl 0783.14028 Popov, V. L.; Vinberg, E. B. 25 1992 The Morozov-Borel theorem for real Lie groups. Zbl 0112.02505 Vinberg, È. B. 23 1961 Discrete subgroups of Lie groups. Zbl 0656.22004 Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V. 23 1988 On invariants of a set of matrices. Zbl 0884.14006 Vinberg, E. B. 22 1996 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011 22 2000 Absence of crystallographic reflection groups in Lobachevskiĭ spaces of large dimension. Zbl 0462.51013 Vinberg, È. B. 22 1981 Strong Tits alternative for subgroups of Coxeter groups. Zbl 0999.20029 Noskov, Guennadi A.; Vinberg, Èrnest B. 21 2002 On the groups \(O_{18,1}(\mathbb Z)\) and \(O_{19,1}(\mathbb Z)\). Zbl 0402.20034 Vinberg, È. B.; Kaplinskaya, I. M. 21 1978 Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014 Vinberg, E. B.; Popov, V. L. 21 1972 The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension. Zbl 0593.22007 Vinberg, È. B. 20 1984 Some linear groups virtually having a free quotient. Zbl 0958.22008 Margulis, G. A.; Vinberg, È. B. 20 2000 A classification of homogeneous nilpotent elements of a semi-simple graded Lie algebra. Zbl 0431.17006 Vinberg, Eh. B. 19 1979 Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073 Vinberg, E. B. 19 2007 Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010 Vinberg, Eh. B. 19 1987 The structure of the group of automorphisms of a homogeneous convex cone. Zbl 0311.17008 Vinberg, E. B. 18 1967 Volumes of non-Euclidean polyhedra. Zbl 0799.01019 Vinberg, È. B. 17 1993 A generalized Harish-Chandra isomorphism. Zbl 1231.17005 Khoroshkin, Sergey; Nazarov, Maxim; Vinberg, Ernest 17 2011 On the algebra of Siegel modular forms of genus 2. Zbl 1302.05005 Vinberg, E. B. 17 2013 The structure of the group of automorphisms of a homogeneous convex cone. Zbl 0224.17010 Vinberg, È. B. 16 1965 Invariant linear connections in a homogeneous space. (Invariante lineare Zusammenhänge im homogenen Raum.) Zbl 0113.15802 Vinberg, È. B. 15 1960 Some free algebras of automorphic forms on symmetric domains of type IV. Zbl 1225.05015 Vinberg, E. B. 15 2010 Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003 Vinberg, Ernest B. 14 1989 Homogeneous Kähler manifolds. Zbl 0183.35401 Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B. 14 1968 Commutative homogeneous spaces of Heisenberg type. Zbl 1068.22015 Vinberg, È. B. 13 2003 Classification of trivectors of a 9-dimensional space. Zbl 0648.15021 Vinberg, È. B.; Èlashvili, A. G. 13 1988 The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018 Vinberg, Ernest B. 12 1995 On the theorem concerning the infinite-dimensionality of an associative algebra. Zbl 0171.29401 Vinberg, È. B. 12 1965 Cyclic elements in semisimple Lie algebras. Zbl 1329.17007 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 12 2013 On unimodular integral quadratic forms. Zbl 0252.10027 Vinberg, E. B. 12 1972 Foundations of Lie theory. Zbl 0781.22003 Onishchik, A. L.; Vinberg, È. B. 11 1988 Discrete groups of motions of spaces of constant curvature. Zbl 0699.22017 Vinberg, Eh. B.; Shvartsman, O. V. 11 1988 Non-arithmetic hyperbolic reflection groups in higher dimensions. Zbl 1359.51004 Vinberg, E. B. 10 2015 Über Gruppen von Einheiten gewisser quadratischer Formen. Zbl 0244.20058 Vinberg, E. B. 10 1972 A criterion of smoothness at infinity for an arithmetic quotient of the future tube. Zbl 1371.32016 Shvartsman, O. V.; Vinberg, E. B. 9 2017 On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 9 2009 Real entire functions with prescribed critical values. Zbl 0741.30037 Vinberg, È. B. 8 1989 Linear representations of groups. (Линеĭные представления гроуп.) Zbl 0566.20004 Vinberg, È. B. 8 1985 Discrete subgroups of Lie groups. Zbl 0931.22007 Vinberg, E. B.; Borbatsevich, V. V.; Shvartsman, O. V. 8 1988 Kählerian manifolds admitting a transitive solvable automorphism group. Zbl 0172.37803 Vinberg, Eh. B.; Gindikin, S. G. 8 1969 Noncoherence of some lattices in \(\mathrm{Isom}(\mathbb H^n)\). Zbl 1139.22007 Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest 8 2008 Construction of the exceptional simple Lie algebras. Zbl 1069.17003 Vinberg, E. B. 7 2005 Short \(\mathrm{SO}_3\)-structures on simple Lie algebras and associated quasielliptic planes. Zbl 1081.17009 Vinberg, E. B. 7 2005 Convex homogeneous domains. Zbl 0114.38402 Vinberg, Eh. B. 7 1961 Complete families of commuting functions for coisotropic Hamiltonian actions. Zbl 1475.17039 Vinberg, Ernest B.; Yakimova, Oksana S. 7 2019 On stability of actions of reductive algebraic groups. Zbl 1054.14064 Vinberg, E. B. 6 2000 Generalized derivations of algebras. Zbl 0828.16040 Vinberg, E. B. 6 1995 Discrete reflection groups in Lobachevsky spaces. Zbl 0563.51011 Vinberg, È. B. 6 1984 Some examples of crystallographic groups in Lobacevskii spaces. Zbl 0238.20064 Vinberg, E. B. 6 1970 An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations. Zbl 1317.17011 de Graaf, W. A.; Vinberg, E. B.; Yakimova, O. S. 6 2012 Rationality of the field of invariants of a triangular group. Zbl 0493.14005 Vinberg, Eh. B. 6 1982 Reflection subgroups in Bianchi groups. Zbl 0725.20037 Vinberg, È. B. 6 1990 Geometry of spaces of constant curvature. Zbl 0699.53001 Alekseevskij, D. V.; Vinberg, Eh. B.; Solodovnikov, A. S. 6 1988 The dual horospherical Radon transform for polynomials. Zbl 1003.43008 Hilgert, J.; Pasquale, A.; Vinberg, E. B. 5 2002 On some generalized triangle groups and three-dimensional orbifolds. Zbl 0867.22009 Vinberg, È. B.; Mennicke, J.; Helling, H. 5 1995 Lie groups and Lie algebras - 3. (Gruppy Li i algebry Li - 3.) Zbl 0693.00007 5 1990 The smallest field of definition of a subgroup of the group \(\text{PSL}_ 2\). Zbl 0831.20061 Vinberg, È. B. 5 1993 Kählersche Mannigfaltigkeiten, die eine transitive auflösbare Gruppe von Automorphismen zulassen. Zbl 0153.39903 Vinberg, Eh. B.; Gindikin, S. G. 5 1967 Automorphisms of homogeneous convex cones. Zbl 0196.30501 Vinberg, Eh. B. 5 1962 Generating semisimple groups by tori. Zbl 1220.22005 Abels, Herbert; Vinberg, E. B. 5 2011 Linear representations of groups. Transl. from the Russian by A. Iacob. Reprint of the 1989 original. Zbl 1206.20008 Vinberg, Ernest B. 5 2010 Subsemigroups of nilpotent Lie groups. Zbl 1441.22011 Abels, Herbert; Vinberg, Ernest B. 1 2020 Arkadii L’vovich Onishchik. Zbl 1453.01017 Akhiezer, D. N.; Vinberg, É. B.; Gorbatsevich, V. V.; Kazarin, L. S.; Leites, D. A.; Lukatskii, A. M.; Shchetinin, A. N. 1 2020 Complete families of commuting functions for coisotropic Hamiltonian actions. Zbl 1475.17039 Vinberg, Ernest B.; Yakimova, Oksana S. 7 2019 On free two-step nilpotent Lie semigroups and inequalities between random variables. Zbl 1415.22007 Abels, H.; Vinberg, E. B. 2 2019 On some free algebras of automorphic forms. Zbl 1427.32014 Vinberg, E. B. 5 2018 Degeneration of horospheres in spherical homogeneous spaces. Zbl 1402.22016 Vinberg, E. B.; Gindikin, S. G. 1 2018 A criterion of smoothness at infinity for an arithmetic quotient of the future tube. Zbl 1371.32016 Shvartsman, O. V.; Vinberg, E. B. 9 2017 Non-abelian gradings of Lie algebras. Zbl 1390.17020 Vinberg, Ernest B. 5 2017 On a phenomenon discovered by Heinz Helling. Zbl 1387.30063 Rehmann, U.; Vinberg, E. 3 2017 Moduli algebras of some non-semiquasihomogeneous singularities. Zbl 1387.14047 Elashvili, A. G.; Jibladze, M. A.; Vinberg, E. B. 2 2017 In memoriam: Evgenii (Eugene) Borisovich Dynkin. Zbl 1344.01043 Vinberg, È. B.; Kuznetsov, S. E. 1 2016 Non-arithmetic hyperbolic reflection groups in higher dimensions. Zbl 1359.51004 Vinberg, E. B. 10 2015 Limits of integrable Hamiltonians on semisimple Lie algebras. Zbl 1354.17016 Vinberg, È. B. 4 2014 Obituary: Valentin Evgen’evich Voskresenskii. Zbl 1302.01051 Vavilov, N. A.; Vinberg, E. B.; Panin, I. A.; Panov, A. N.; Parshin, A. N.; Platonov, V. P.; Popov, V. L. 1 2014 On the algebra of Siegel modular forms of genus 2. Zbl 1302.05005 Vinberg, E. B. 17 2013 Cyclic elements in semisimple Lie algebras. Zbl 1329.17007 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 12 2013 An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations. Zbl 1317.17011 de Graaf, W. A.; Vinberg, E. B.; Yakimova, O. S. 6 2012 A generalized Harish-Chandra isomorphism. Zbl 1231.17005 Khoroshkin, Sergey; Nazarov, Maxim; Vinberg, Ernest 17 2011 Generating semisimple groups by tori. Zbl 1220.22005 Abels, Herbert; Vinberg, E. B. 5 2011 Some free algebras of automorphic forms on symmetric domains of type IV. Zbl 1225.05015 Vinberg, E. B. 15 2010 Linear representations of groups. Transl. from the Russian by A. Iacob. Reprint of the 1989 original. Zbl 1206.20008 Vinberg, Ernest B. 5 2010 The work of Vladimir Morozov on Lie algebras. Zbl 1206.01057 Panyushev, Dmitri I.; Vinberg, Ernest B. 3 2010 Automorphic forms on symmetric domains of type IV. Zbl 1248.32011 Vinberg, È B. 3 2010 On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 9 2009 Noncoherence of some lattices in \(\mathrm{Isom}(\mathbb H^n)\). Zbl 1139.22007 Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest 8 2008 Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073 Vinberg, E. B. 19 2007 On some number-theoretic conjectures of V. Arnold. Zbl 1168.05004 Vinberg, E. B. 5 2007 On Abelian coverings of surfaces. Zbl 1168.57003 Vinberg, Ernest 1 2007 On right-angled reflection groups in hyperbolic spaces. Zbl 1072.20046 Potyagailo, Leonid; Vinberg, Ernest 39 2005 Construction of the exceptional simple Lie algebras. Zbl 1069.17003 Vinberg, E. B. 7 2005 Short \(\mathrm{SO}_3\)-structures on simple Lie algebras and associated quasielliptic planes. Zbl 1081.17009 Vinberg, E. B. 7 2005 Lie groups and invariant theory. Zbl 1063.22001 2 2005 Pseudo-finite generalized triangle groups. Zbl 1091.20025 Vinberg, E. B.; Kaplinsky, R. 1 2004 A course in algebra. Transl. from the Russian by Alexander Retakh. Zbl 1016.00003 Vinberg, E. B. 52 2003 Commutative homogeneous spaces of Heisenberg type. Zbl 1068.22015 Vinberg, È. B. 13 2003 The dual horospherical Radon transform as a limit of spherical Radon transforms. Zbl 1049.53053 Hilgert, J.; Pasquale, A.; Vinberg, E. B. 4 2003 Arkadii L’vovich Onishchik (on the occasion of his seventieth birthday). Zbl 1050.01508 Akhiezer, D. N.; Vinberg, È. B.; Gorbatsevich, V. V.; et al. 3 2003 Strong Tits alternative for subgroups of Coxeter groups. Zbl 0999.20029 Noskov, Guennadi A.; Vinberg, Èrnest B. 21 2002 The dual horospherical Radon transform for polynomials. Zbl 1003.43008 Hilgert, J.; Pasquale, A.; Vinberg, E. B. 5 2002 Commutative homogeneous spaces and co-isotropic symplectic actions. Zbl 0996.53034 Vinberg, È. B. 45 2001 Equivariant symplectic geometry of cotangent bundles. Zbl 1045.14020 Vinberg, E. B. 4 2001 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516 Vinberg, È. B.; Golod, E. S.; Zel’manov, E. I.; Iskovskikh, V. A.; Latyshev, V. N.; Manin, Yu. I.; Mikhalev, A. V.; Parshin, A. N.; Shafarevich, I. R.; Shmel’kin, A. L. 1 2001 Possible ground states of D-wave condensates in isotropic space through geometric invariant theory. Zbl 1065.82003 Gufan, Yu. M.; Popov, Al. V.; Sartori, G.; Talamini, V.; Valente, G.; Vinberg, E. B. 1 2001 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011 22 2000 Some linear groups virtually having a free quotient. Zbl 0958.22008 Margulis, G. A.; Vinberg, È. B. 20 2000 On stability of actions of reductive algebraic groups. Zbl 1054.14064 Vinberg, E. B. 6 2000 Weakly symmetric spaces and spherical varieties. Zbl 0916.53024 Akhiezer, D. N.; Vinberg, E. B. 29 1999 An infinitesimal characterization of the complexity of homogeneous spaces. Zbl 0940.14037 Panyushev, D. I.; Vinberg, E. B. 2 1999 Positivity in Lie theory: open problems. Zbl 0890.00034 1 1998 Foundations of Lie theory and Lie transformation groups. Transl. from the Russian by A. Kozlowski. 2nd printing of the 1st ed. 1993. Zbl 0999.17500 57 1997 Groups defined by periodic paired relations. Zbl 0901.20017 Vinberg, È. B. 4 1997 On invariants of a set of matrices. Zbl 0884.14006 Vinberg, E. B. 22 1996 Seminar on Lie groups and algebraic groups. 2nd ed. (Семинар по группам Ли и алгебраическим группам.) Zbl 0876.22001 Vinberg, È. B.; Onishchik, A. L. 44 1995 On reductive algebraic semigroups. Zbl 0840.20041 Vinberg, E. B. 42 1995 The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018 Vinberg, Ernest B. 12 1995 Generalized derivations of algebras. Zbl 0828.16040 Vinberg, E. B. 6 1995 On some generalized triangle groups and three-dimensional orbifolds. Zbl 0867.22009 Vinberg, È. B.; Mennicke, J.; Helling, H. 5 1995 Semigroups in algebra, geometry and analysis. Zbl 0829.00020 5 1995 Lie groups and Lie algebras: E. B. Dynkin’s seminar. Zbl 0828.00011 2 1995 On the work of E. B. Dynkin in the theory of Lie groups. Zbl 0840.22002 Karpelevich, F. I.; Onishchik, A. L.; Vinberg, E. B. 1 1995 Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin. Zbl 0797.22001 Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V. 236 1994 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008 71 1993 Volumes of non-Euclidean polyhedra. Zbl 0799.01019 Vinberg, È. B. 17 1993 The smallest field of definition of a subgroup of the group \(\text{PSL}_ 2\). Zbl 0831.20061 Vinberg, È. B. 5 1993 Some open problems in invariant theory. Zbl 0783.14028 Popov, V. L.; Vinberg, E. B. 25 1992 Lie groups, their discrete subgroups, and invariant theory. Zbl 0742.00088 3 1992 On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009 Vinberg, È. B. 51 1991 The volume of polyhedra on a sphere and in Lobachevsky space. Zbl 0742.51019 Vinberg, È. B. 3 1991 Lie groups and algebraic groups. Translated from the Russian by D. A. Leites. Zbl 0722.22004 Onishchik, A. L.; Vinberg, E. B. 376 1990 Structure of Lie groups and algebras. Zbl 0733.22003 Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L. 51 1990 Reflection subgroups in Bianchi groups. Zbl 0725.20037 Vinberg, È. B. 6 1990 Lie groups and Lie algebras - 3. (Gruppy Li i algebry Li - 3.) Zbl 0693.00007 5 1990 Invariant theory. Zbl 0789.14008 Popov, V. L.; Vinberg, Eh. B. 89 1989 Invariant theory. Zbl 0735.14010 Popov, V. L.; Vinberg, Eh. B. 35 1989 Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003 Vinberg, Ernest B. 14 1989 Real entire functions with prescribed critical values. Zbl 0741.30037 Vinberg, È. B. 8 1989 Seminar on Lie groups and algebraic groups. (Семинар по группам Ли и алгебраическим группам.) Zbl 0648.22009 Vinberg, È. B.; Onishchik, A. L. 59 1988 Geometry of spaces of constant curvature. Zbl 0787.53001 Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S. 41 1988 Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012 Vinberg, È. B.; Shvartsman, O. V. 39 1988 Discrete subgroups of Lie groups. Zbl 0656.22004 Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V. 23 1988 Classification of trivectors of a 9-dimensional space. Zbl 0648.15021 Vinberg, È. B.; Èlashvili, A. G. 13 1988 Foundations of Lie theory. Zbl 0781.22003 Onishchik, A. L.; Vinberg, È. B. 11 1988 Discrete groups of motions of spaces of constant curvature. Zbl 0699.22017 Vinberg, Eh. B.; Shvartsman, O. V. 11 1988 Discrete subgroups of Lie groups. Zbl 0931.22007 Vinberg, E. B.; Borbatsevich, V. V.; Shvartsman, O. V. 8 1988 Geometry of spaces of constant curvature. Zbl 0699.53001 Alekseevskij, D. V.; Vinberg, Eh. B.; Solodovnikov, A. S. 6 1988 Fundamentals of the theory of Lie groups. Zbl 0656.22002 Vinberg, Eh. B.; Onishchik, A. L. 4 1988 Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010 Vinberg, Eh. B. 19 1987 Reflection subgroups in Bianchi groups. Zbl 0708.20016 Vinberg, È. B. 2 1987 Effective invariant theory. Zbl 0628.15024 Vinberg, Eh. B. 2 1987 A collection of problems on algebra. Textbook. Ed. by A. I. Kostrikin. (Сборник задач по алгебре. Учебное пособие.) Zbl 0626.00003 Artamonov, V. A.; Bakhturin, Yu. A.; Vinberg, È. B.; Golod, E. S. 1 1987 Complexity of action of reductive groups. Zbl 0601.14038 Vinberg, È. B. 87 1986 Hyperbolic reflection groups. Zbl 0579.51015 Vinberg, È. B. 62 1985 Linear representations of groups. (Линеĭные представления гроуп.) Zbl 0566.20004 Vinberg, È. B. 8 1985 The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension. Zbl 0593.22007 Vinberg, È. B. 20 1984 Discrete reflection groups in Lobachevsky spaces. Zbl 0563.51011 Vinberg, È. B. 6 1984 The two most algebraic K3 surfaces. Zbl 0537.14025 Vinberg, E. B. 42 1983 Discrete reflection groups in Lobachevskij spaces of high dimension. Zbl 0539.51005 Vinberg, Eh. B. 1 1983 A collection of problems on algebra. Vol. I: Foundations of algebra. Ed. by A. I. Kostrikin. (Сборник задач по алгебре. Вып. И: Основы алгебры.) Zbl 0616.00001 Artamonov, V. A.; Bakhturin, Yu. A.; Vinberg, È. B. 1 1983 Rationality of the field of invariants of a triangular group. Zbl 0493.14005 Vinberg, Eh. B. 6 1982 Rationality of the field of invariants of a triangular group. Zbl 0524.14014 Vinberg, Eh. B. 4 1982 ...and 54 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,599 Authors 47 Panyushev, Dmitri Ivanovich 26 Alekseevskiĭ, Dmitriĭ Vladimirovich 24 Yakimova, Oksana S. 22 Kac, Victor 22 Vinberg, Èrnest Borisovich 20 Bai, Chengming 20 Gorbatsevich, Vladimir Vital’evich 18 de Graaf, Willem Adriaan 18 Kellerhals, Ruth 16 Popov, Vladimir Leonidovich 15 Ishi, Hideyuki 15 Nikonorov, Yurii Gennadyevich 13 Borovoi, Mikhail V. 12 Avdeev, Roman S. 12 Hilgert, Joachim 12 Tumarkin, Pavel 11 Allcock, Daniel Jonathan 11 Elduque, Alberto 11 Felikson, Anna Aleksandrovna 11 Guralnick, Robert Michael 11 Losev, Ivan V. 10 Arzhantsev, Ivan Vladimirovich 10 Bocheński, Maciej Franciszek 10 Dorfmeister, Josef F. 10 Kolpakov, Alexander A. 10 Leites, Dimitry A. 10 Marrani, Alessio 10 Petukhov, Alexey V. 10 Shimada, Ichiro 10 Tralle, Aleksy E. 9 Ayala, Victor 9 Belolipetsky, Mikhail V. 9 Bibikov, Pavel Vitalievich 9 Brion, Michel 9 Đoković, Dragomir Ž. 9 Elashvili, Alexander Grigorievich 9 Hofmann, Karl Heinrich 9 Knop, Friedrich 9 Perelomov, Askold M. 9 Reichstein, Zinovy B. 9 Reid, Alan W. 9 Silva, Adriano Da 8 Berestovskiĭ, Valeriĭ Nikolaevich 8 Garibaldi, Skip 8 Isaev, Alexander 8 Kondō, Shigeyuki 8 Rapinchuk, Andrei S. 8 Röhrle, Gerhard 8 Schwarz, Gerald Walter 7 Can, Mahir Bilen 7 Chen, Zhiqi 7 Choi, Suhyoung 7 Cortés, Vicente 7 Draper, Cristina 7 Futorny, Vyacheslav M. 7 Gorodski, Claudio 7 Jibladze, Mamuka A. 7 Joseph, Anthony 7 Krasnov, Vladimir Aleksandrovich 7 Kruglikov, Boris S. 7 Lê Hông Vân 7 Marquis, Ludovic 7 Nakashima, Hideto 7 Oeding, Luke 7 Salgado, Gil 7 Samovol, Vladimir Simkhovich 7 Shima, Hirohiko 7 Timashev, Dmitri A. 7 Tschantz, Steven Thomas 7 Vesnin, Andrei Yu. 6 Akhiezer, Dmitriĭ Naumovich 6 Bolsinov, Alexey V. 6 Chen, Liangyun 6 Dietrich, Heiko 6 Dolgachev, Igor’ Vladimirovich 6 Galaev, Anton S. 6 Geatti, Laura 6 Kraft, Hanspeter 6 Lee, Gye-Seon 6 Long, Darren D. 6 Lychagin, Valentin V. 6 Malmendier, Andreas 6 Manivel, Laurent 6 Nikulin, Vyacheslav Valentinovich 6 Premet, Alexander A. 6 Salvetti, Mario 6 Santi, Andrea 6 Winther, Henrik 5 Abels, Herbert 5 Abrosimov, Nikolaĭ Vladimirovich 5 Berceanu, Stefan 5 Bogachev, Nikolay V. 5 Borcherds, Richard Ewen 5 Calzi, Mattia 5 Caprace, Pierre-Emmanuel 5 Erokhovets, Nikolaĭ Yur’evich 5 Fisher, David Michael 5 Gaifullin, Sergey A. 5 García-Prada, Oscar 5 Goldman, William M. ...and 2,499 more Authors all top 5 Cited in 372 Serials 193 Journal of Algebra 87 Advances in Mathematics 67 Transformation Groups 58 Geometriae Dedicata 54 Transactions of the American Mathematical Society 54 Journal of Mathematical Sciences (New York) 53 Journal of Geometry and Physics 50 Annales de l’Institut Fourier 47 Mathematische Zeitschrift 43 Linear Algebra and its Applications 40 Inventiones Mathematicae 38 Mathematical Notes 36 Communications in Algebra 36 Duke Mathematical Journal 36 Functional Analysis and its Applications 34 Mathematische Annalen 31 Journal of Pure and Applied Algebra 31 Differential Geometry and its Applications 28 Journal of High Energy Physics 27 Proceedings of the American Mathematical Society 26 Communications in Mathematical Physics 24 Compositio Mathematica 24 Tôhoku Mathematical Journal. 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B 6 Journal of Differential Geometry 6 Journal of Number Theory 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Advances in Applied Mathematics 6 Acta Applicandae Mathematicae 6 Revista Matemática Iberoamericana ...and 272 more Serials all top 5 Cited in 57 Fields 672 Nonassociative rings and algebras (17-XX) 631 Algebraic geometry (14-XX) 621 Group theory and generalizations (20-XX) 517 Topological groups, Lie groups (22-XX) 473 Differential geometry (53-XX) 268 Manifolds and cell complexes (57-XX) 231 Several complex variables and analytic spaces (32-XX) 219 Number theory (11-XX) 155 Quantum theory (81-XX) 152 Geometry (51-XX) 136 Convex and discrete geometry (52-XX) 123 Associative rings and algebras (16-XX) 120 Dynamical systems and ergodic theory (37-XX) 106 Linear and multilinear algebra; matrix theory (15-XX) 90 Combinatorics (05-XX) 89 Global analysis, analysis on manifolds (58-XX) 80 Commutative algebra (13-XX) 61 Abstract harmonic analysis (43-XX) 54 Functions of a complex variable (30-XX) 49 Functional analysis (46-XX) 44 Partial differential equations (35-XX) 43 Category theory; homological algebra (18-XX) 40 Algebraic topology (55-XX) 35 Probability theory and stochastic processes (60-XX) 34 Operator theory (47-XX) 32 Relativity and gravitational theory (83-XX) 31 Ordinary differential equations (34-XX) 31 Computer science (68-XX) 27 Order, lattices, ordered algebraic structures (06-XX) 25 Mechanics of particles and systems (70-XX) 25 Systems theory; control (93-XX) 22 Operations research, mathematical programming (90-XX) 21 Statistics (62-XX) 19 Mathematical logic and foundations (03-XX) 19 General topology (54-XX) 18 Numerical analysis (65-XX) 16 Special functions (33-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Field theory and polynomials (12-XX) 12 Information and communication theory, circuits (94-XX) 10 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 10 \(K\)-theory (19-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Real functions (26-XX) 8 Measure and integration (28-XX) 7 Integral transforms, operational calculus (44-XX) 7 Mechanics of deformable solids (74-XX) 6 Approximations and expansions (41-XX) 4 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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