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: 87 Co-Authors with 78 Joint Publications 2,308 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 Leites, Dimitry A. 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 Orekhov, M. Yu. 1 Orlov, Dmitri O. 1 1 Panin, Ivan A. 1 Pankrat’ev, Evgeniĭ Vasil’evich 1 Panov, Aleksandr Nikolaevich 1 Piontkovskij, D. I. 1 Platonov, Vladimir Petrovich 1 Popov, Aleksandr Voktorovich 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 146 Publications have been cited 2,970 times in 2,249 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. 329 1990 The theory of convex homogeneous cones. Zbl 0138.43301 Vinberg, E. B. 253 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. 201 1994 Complexity of action of reductive groups. Zbl 0601.14038 Vinberg, È. B. 79 1986 Invariant theory. Zbl 0789.14008 Popov, V. L.; Vinberg, Eh. B. 67 1989 The Weyl group of a graded Lie algebra. Zbl 0363.20035 Vinberg, È. B. 58 1976 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 53 1997 The Weyl group of a graded Lie algebra. Zbl 0371.20041 Vinberg, È. B. 53 1977 Hyperbolic reflection groups. Zbl 0579.51015 Vinberg, È. B. 50 1985 Seminar on Lie groups and algebraic groups. (Семинар по группам Ли и алгебраическим группам.) Zbl 0648.22009 Vinberg, È. B.; Onishchik, A. L. 49 1988 Structure of Lie groups and algebras. Zbl 0733.22003 Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L. 47 1990 Invariant convex cones and orderings in Lie groups. Zbl 0452.22014 Vinberg, È. B. 45 1980 Discrete groups generated by reflections in Lobachevskii spaces. Zbl 0166.16303 Vinberg, È. B. 44 1967 Discrete linear groups generated by reflections. Zbl 0256.20067 Vinberg, E. B. 44 1972 On groups of unit elements of certain quadratic forms. Zbl 0252.20054 Vinberg, E. B. 42 1972 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008 42 1993 On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009 Vinberg, È. B. 41 1991 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. 41 1995 A course in algebra. Transl. from the Russian by Alexander Retakh. Zbl 1016.00003 Vinberg, E. B. 41 2003 Commutative homogeneous spaces and co-isotropic symplectic actions. Zbl 0996.53034 Vinberg, È. B. 39 2001 Orbits of greatest dimension in semisimple linear Lie groups. Zbl 0176.30301 Andreev, E. M.; Vinberg, È. B.; Èlashvili, A. G. 38 1967 The two most algebraic K3 surfaces. Zbl 0537.14025 Vinberg, E. B. 37 1983 On reductive algebraic semigroups. Zbl 0840.20041 Vinberg, E. B. 37 1995 Rings of definition of dense subgroups of semisimple linear groups. Zbl 0252.20043 Vinberg, E. B. 37 1972 Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups. Zbl 0439.53055 Vinberg, E. B.; Kimel’fel’d, B. N. 37 1979 Homogeneous cones. Zbl 0143.05203 Vinberg, Eh. B. 35 1960 On a class of quasihomogeneous affine varieties. Zbl 0255.14016 Vinberg, E. B.; Popov, V. L. 34 1973 On right-angled reflection groups in hyperbolic spaces. Zbl 1072.20046 Potyagailo, Leonid; Vinberg, Ernest 34 2005 Geometry of spaces of constant curvature. Zbl 0787.53001 Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S. 32 1988 Some arithmetical discrete groups in Lobacevskii spaces. Zbl 0316.10013 Vinberg, E. B. 30 1975 Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre. Zbl 0343.20023 Kac, Victor G.; Popov, Vladimir L.; Vinberg, Ernest B. 29 1976 Quasi-homogeneous cones. Zbl 0163.16902 Vinberg, È. B.; Kac, V. G. 29 1967 On the classification of the nilpotent elements of graded Lie algebras. Zbl 0374.17001 Vinberg, E. B. 29 1975 Weakly symmetric spaces and spherical varieties. Zbl 0916.53024 Akhiezer, D. N.; Vinberg, E. B. 28 1999 Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603 Vinberg, È. B.; Piatetski-Shapiro, Ilya I. 28 1963 Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012 Vinberg, È. B.; Shvartsman, O. V. 28 1988 Invariant theory. Zbl 0735.14010 Popov, V. L.; Vinberg, Eh. B. 27 1989 Spinors of 13-dimensional space. Zbl 0429.20043 Gatti, V.; Viniberghi, E. 26 1978 Some open problems in invariant theory. Zbl 0783.14028 Popov, V. L.; Vinberg, E. B. 25 1992 The classification of three-vectors of the nine-dimensional space. Zbl 0441.15010 Vinberg, È. B.; Èlashvili, A. G. 25 1978 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. 23 1996 The Morozov-Borel theorem for real Lie groups. Zbl 0112.02505 Vinberg, È. B. 21 1961 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 Strong Tits alternative for subgroups of Coxeter groups. Zbl 0999.20029 Noskov, Guennadi A.; Vinberg, Èrnest B. 20 2002 Absence of crystallographic reflection groups in Lobachevskiĭ spaces of large dimension. Zbl 0462.51013 Vinberg, È. B. 19 1981 The structure of the group of automorphisms of a homogeneous convex cone. Zbl 0311.17008 Vinberg, E. B. 18 1967 A generalized Harish-Chandra isomorphism. Zbl 1231.17005 Khoroshkin, Sergey; Nazarov, Maxim; Vinberg, Ernest 18 2011 Some linear groups virtually having a free quotient. Zbl 0958.22008 Margulis, G. A.; Vinberg, È. B. 17 2000 The structure of the group of automorphisms of a homogeneous convex cone. Zbl 0224.17010 Vinberg, È. B. 17 1965 Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010 Vinberg, Eh. B. 17 1987 A classification of homogeneous nilpotent elements of a semi-simple graded Lie algebra. Zbl 0431.17006 Vinberg, Eh. B. 17 1979 Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073 Vinberg, E. B. 17 2007 On the algebra of Siegel modular forms of genus 2. Zbl 1302.05005 Vinberg, E. B. 17 2013 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011 16 2000 The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension. Zbl 0593.22007 Vinberg, È. B. 16 1984 Some free algebras of automorphic forms on symmetric domains of type IV. Zbl 1225.05015 Vinberg, E. B. 14 2010 Diskrete lineare Gruppen, die vermittels Spiegelungen erzeugt sind. Zbl 0247.20054 Vinberg, E. B. 13 1971 Commutative homogeneous spaces of Heisenberg type. Zbl 1068.22015 Vinberg, È. B. 13 2003 Volumes of non-Euclidean polyhedra. Zbl 0799.01019 Vinberg, È. B. 13 1993 On unimodular integral quadratic forms. Zbl 0252.10027 Vinberg, E. B. 12 1972 Cyclic elements in semisimple Lie algebras. Zbl 1329.17007 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 12 2013 On the theorem concerning the infinite-dimensionality of an associative algebra. Zbl 0171.29401 Vinberg, È. B. 11 1965 Foundations of Lie theory. Zbl 0781.22003 Onishchik, A. L.; Vinberg, È. B. 11 1988 Classification of trivectors of a 9-dimensional space. Zbl 0648.15021 Vinberg, È. B.; Èlashvili, A. G. 10 1988 The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018 Vinberg, Ernest B. 10 1995 Non-arithmetic hyperbolic reflection groups in higher dimensions. Zbl 1359.51004 Vinberg, E. B. 10 2015 A criterion of smoothness at infinity for an arithmetic quotient of the future tube. Zbl 1371.32016 Shvartsman, O. V.; Vinberg, E. B. 10 2017 On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 9 2009 Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003 Vinberg, Ernest B. 9 1989 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 Discrete groups of motions of spaces of constant curvature. Zbl 0699.22017 Vinberg, Eh. B.; Shvartsman, O. V. 8 1988 Noncoherence of some lattices in \(\mathrm{Isom}(\mathbb H^n)\). Zbl 1139.22007 Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest 7 2008 Linear representations of groups. (Линеĭные представления гроуп.) Zbl 0566.20004 Vinberg, È. B. 7 1985 Homogeneous Kähler manifolds. Zbl 0183.35401 Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B. 7 1968 Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014 Vinberg, E. B.; Popov, V. L. 7 1972 Construction of the exceptional simple Lie algebras. Zbl 1069.17003 Vinberg, E. B. 7 2005 Real entire functions with prescribed critical values. Zbl 0741.30037 Vinberg, È. B. 7 1989 Complete families of commuting functions for coisotropic Hamiltonian actions. Zbl 1475.17039 Vinberg, Ernest B.; Yakimova, Oksana S. 7 2019 Rationality of the field of invariants of a triangular group. Zbl 0493.14005 Vinberg, Eh. B. 6 1982 Generalized derivations of algebras. Zbl 0828.16040 Vinberg, E. B. 6 1995 Short \(\mathrm{SO}_3\)-structures on simple Lie algebras and associated quasielliptic planes. Zbl 1081.17009 Vinberg, E. B. 6 2005 Reflection subgroups in Bianchi groups. Zbl 0725.20037 Vinberg, È. B. 6 1990 Linear representations of groups. Transl. from the Russian by A. Iacob. Reprint of the 1989 original. Zbl 1206.20008 Vinberg, Ernest B. 5 2010 Generating semisimple groups by tori. Zbl 1220.22005 Abels, Herbert; Vinberg, E. B. 5 2011 The smallest field of definition of a subgroup of the group \(\text{PSL}_ 2\). Zbl 0831.20061 Vinberg, È. B. 5 1993 On stability of actions of reductive algebraic groups. Zbl 1054.14064 Vinberg, E. B. 5 2000 Invariant linear connections in a homogeneous space. (Invariante lineare Zusammenhänge im homogenen Raum.) Zbl 0113.15802 Vinberg, È. B. 5 1960 Kählersche Mannigfaltigkeiten, die eine transitive auflösbare Gruppe von Automorphismen zulassen. Zbl 0153.39903 Vinberg, Eh. B.; Gindikin, S. G. 5 1967 On some number-theoretic conjectures of V. Arnold. Zbl 1168.05004 Vinberg, E. B. 5 2007 The dual horospherical Radon transform for polynomials. Zbl 1003.43008 Hilgert, J.; Pasquale, A.; Vinberg, E. B. 5 2002 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. 5 2012 Fundamentals of the theory of Lie groups. Zbl 0656.22002 Vinberg, Eh. B.; Onishchik, A. L. 4 1988 Rationality of the field of invariants of a triangular group. Zbl 0524.14014 Vinberg, Eh. B. 4 1982 Discrete reflection groups in Lobachevsky spaces. Zbl 0563.51011 Vinberg, È. B. 4 1984 Groups defined by periodic paired relations. Zbl 0901.20017 Vinberg, È. B. 4 1997 Non-abelian gradings of Lie algebras. Zbl 1390.17020 Vinberg, Ernest B. 4 2017 Equivariant symplectic geometry of cotangent bundles. Zbl 1045.14020 Vinberg, E. B. 4 2001 The dual horospherical Radon transform as a limit of spherical Radon transforms. Zbl 1049.53053 Hilgert, J.; Pasquale, A.; Vinberg, E. B. 4 2003 Subsemigroups of nilpotent Lie groups. Zbl 1441.22011 Abels, Herbert; Vinberg, Ernest B. 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. 1 2019 On some free algebras of automorphic forms. Zbl 1427.32014 Vinberg, E. B. 4 2018 A criterion of smoothness at infinity for an arithmetic quotient of the future tube. Zbl 1371.32016 Shvartsman, O. V.; Vinberg, E. B. 10 2017 Non-abelian gradings of Lie algebras. Zbl 1390.17020 Vinberg, Ernest B. 4 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. 3 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 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. 5 2012 A generalized Harish-Chandra isomorphism. Zbl 1231.17005 Khoroshkin, Sergey; Nazarov, Maxim; Vinberg, Ernest 18 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. 14 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. 2 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 7 2008 Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073 Vinberg, E. B. 17 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 34 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. 6 2005 Lie groups and invariant theory. Zbl 1063.22001 1 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. 41 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. 1 2003 Strong Tits alternative for subgroups of Coxeter groups. Zbl 0999.20029 Noskov, Guennadi A.; Vinberg, Èrnest B. 20 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. 39 2001 Equivariant symplectic geometry of cotangent bundles. Zbl 1045.14020 Vinberg, E. B. 4 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 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 Some linear groups virtually having a free quotient. Zbl 0958.22008 Margulis, G. A.; Vinberg, È. B. 17 2000 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011 16 2000 On stability of actions of reductive algebraic groups. Zbl 1054.14064 Vinberg, E. B. 5 2000 Weakly symmetric spaces and spherical varieties. Zbl 0916.53024 Akhiezer, D. N.; Vinberg, E. B. 28 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 53 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. 23 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. 41 1995 On reductive algebraic semigroups. Zbl 0840.20041 Vinberg, E. B. 37 1995 The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018 Vinberg, Ernest B. 10 1995 Generalized derivations of algebras. Zbl 0828.16040 Vinberg, E. B. 6 1995 Semigroups in algebra, geometry and analysis. Zbl 0829.00020 3 1995 On some generalized triangle groups and three-dimensional orbifolds. Zbl 0867.22009 Vinberg, È. B.; Mennicke, J.; Helling, H. 3 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. 201 1994 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008 42 1993 Volumes of non-Euclidean polyhedra. Zbl 0799.01019 Vinberg, È. B. 13 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 1 1992 On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009 Vinberg, È. B. 41 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. 329 1990 Structure of Lie groups and algebras. Zbl 0733.22003 Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L. 47 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 2 1990 Invariant theory. Zbl 0789.14008 Popov, V. L.; Vinberg, Eh. B. 67 1989 Invariant theory. Zbl 0735.14010 Popov, V. L.; Vinberg, Eh. B. 27 1989 Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003 Vinberg, Ernest B. 9 1989 Real entire functions with prescribed critical values. Zbl 0741.30037 Vinberg, È. B. 7 1989 Seminar on Lie groups and algebraic groups. (Семинар по группам Ли и алгебраическим группам.) Zbl 0648.22009 Vinberg, È. B.; Onishchik, A. L. 49 1988 Geometry of spaces of constant curvature. Zbl 0787.53001 Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S. 32 1988 Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012 Vinberg, È. B.; Shvartsman, O. V. 28 1988 Discrete subgroups of Lie groups. Zbl 0656.22004 Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V. 23 1988 Foundations of Lie theory. Zbl 0781.22003 Onishchik, A. L.; Vinberg, È. B. 11 1988 Classification of trivectors of a 9-dimensional space. Zbl 0648.15021 Vinberg, È. B.; Èlashvili, A. G. 10 1988 Discrete subgroups of Lie groups. Zbl 0931.22007 Vinberg, E. B.; Borbatsevich, V. V.; Shvartsman, O. V. 8 1988 Discrete groups of motions of spaces of constant curvature. Zbl 0699.22017 Vinberg, Eh. B.; Shvartsman, O. V. 8 1988 Fundamentals of the theory of Lie groups. Zbl 0656.22002 Vinberg, Eh. B.; Onishchik, A. L. 4 1988 Geometry of spaces of constant curvature. Zbl 0699.53001 Alekseevskij, D. V.; Vinberg, Eh. B.; Solodovnikov, A. S. 4 1988 Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010 Vinberg, Eh. B. 17 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 Reflection subgroups in Bianchi groups. Zbl 0708.20016 Vinberg, È. B. 1 1987 Complexity of action of reductive groups. Zbl 0601.14038 Vinberg, È. B. 79 1986 Hyperbolic reflection groups. Zbl 0579.51015 Vinberg, È. B. 50 1985 Linear representations of groups. (Линеĭные представления гроуп.) Zbl 0566.20004 Vinberg, È. B. 7 1985 The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension. Zbl 0593.22007 Vinberg, È. B. 16 1984 Discrete reflection groups in Lobachevsky spaces. Zbl 0563.51011 Vinberg, È. B. 4 1984 The two most algebraic K3 surfaces. Zbl 0537.14025 Vinberg, E. B. 37 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. 2 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 Effective theory of invariants. Zbl 0538.15012 Vinberg, È. B. 1 1982 Absence of crystallographic reflection groups in Lobachevskiĭ spaces of large dimension. Zbl 0462.51013 Vinberg, È. B. 19 1981 Absence of crystallographic groups of reflections in Lobachevskij spaces of large dimension. Zbl 0468.51006 Vinberg, Eh. B. 3 1981 Invariant convex cones and orderings in Lie groups. Zbl 0452.22014 Vinberg, È. B. 45 1980 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,256 Authors 40 Panyushev, Dmitri Ivanovich 24 Alekseevskiĭ, Dmitriĭ Vladimirovich 23 Yakimova, Oksana S. 22 Kac, Victor 20 Vinberg, Èrnest Borisovich 17 Gorbatsevich, Vladimir Vital’evich 17 Kellerhals, Ruth 15 Bai, Chengming 15 de Graaf, Willem Adriaan 14 Nikonorov, Yurii Gennadyevich 14 Popov, Vladimir Leonidovich 12 Hilgert, Joachim 12 Ishi, Hideyuki 11 Avdeev, Roman S. 11 Losev, Ivan V. 11 Tumarkin, Pavel 10 Bocheński, Maciej Franciszek 10 Dorfmeister, Josef F. 10 Felikson, Anna Aleksandrovna 10 Tralle, Aleksy E. 9 Arzhantsev, Ivan Vladimirovich 9 Ayala, Victor 9 Belolipetsky, Mikhail V. 9 Borovoi, Mikhail V. 9 Brion, Michel 9 Đoković, Dragomir Ž. 9 Elduque, Alberto 9 Hofmann, Karl Heinrich 9 Kolpakov, Alexander A. 9 Petukhov, Alexey V. 8 Allcock, Daniel Jonathan 8 Berestovskiĭ, Valeriĭ Nikolaevich 8 Elashvili, Alexander Grigorievich 8 Guralnick, Robert Michael 8 Knop, Friedrich 8 Leites, Dimitry A. 8 Marrani, Alessio 8 Perelomov, Askold M. 8 Rapinchuk, Andrei S. 8 Reid, Alan W. 8 Röhrle, Gerhard E. 8 Schwarz, Gerald Walter 7 Choi, Suhyoung 7 Futorny, Vyacheslav M. 7 Isaev, Alexander 7 Kondō, Shigeyuki 7 Reichstein, Zinovy B. 7 Samovol, Vladimir Simkhovich 7 Shimada, Ichiro 7 Silva, Adriano Da 7 Tschantz, Steven Thomas 6 Bibikov, Pavel Vitalievich 6 Bolsinov, Alexey V. 6 Chen, Zhiqi 6 Cortés, Vicente 6 Draper, Cristina 6 Garibaldi, Skip 6 Gorodski, Claudio 6 Jibladze, Mamuka A. 6 Kraft, Hanspeter 6 Kruglikov, Boris S. 6 Long, Darren D. 6 Marquis, Ludovic 6 Nakashima, Hideto 6 Premet, Alexander A. 6 Salgado, Gil 6 Shima, Hirohiko 6 Timashev, Dmitri A. 6 Vesnin, Andrei Yu. 5 Abels, Herbert 5 Akhiezer, Dmitriĭ Naumovich 5 Berceanu, Stefan 5 Calzi, Mattia 5 Can, Mahir Bilen 5 Caprace, Pierre-Emmanuel 5 Chen, Liangyun 5 Dietrich, Heiko 5 Dolgachev, Igor’ Vladimirovich 5 Erokhovets, Nikolaĭ Yur’evich 5 Galaev, Anton S. 5 Geatti, Laura 5 Goldman, William M. 5 Joseph, Anthony 5 Krasnov, Vladimir Aleksandrovich 5 Lê Hông Vân 5 Malmendier, Andreas 5 Miebach, Christian 5 Nikulin, Vyacheslav Valentinovich 5 Ooms, Alfons I. 5 Ratcliffe, John G. 5 Razumov, Alexander V. 5 Reeder, Mark 5 Riolo, Stefano 5 Saloff-Coste, Laurent 5 Santi, Andrea 5 Sikora, Adam S. 5 Stover, Matthew 5 Winther, Henrik 5 Zimmer, Andrew M. 4 Abrosimov, Nikolaĭ Vladimirovich ...and 2,156 more Authors all top 5 Cited in 347 Serials 181 Journal of Algebra 75 Advances in Mathematics 53 Geometriae Dedicata 49 Journal of Mathematical Sciences (New York) 48 Annales de l’Institut Fourier 47 Transactions of the American Mathematical Society 46 Transformation Groups 41 Journal of Geometry and Physics 41 Mathematische Zeitschrift 40 Linear Algebra and its Applications 35 Mathematical Notes 35 Inventiones Mathematicae 34 Duke Mathematical Journal 33 Communications in Algebra 33 Mathematische Annalen 32 Functional Analysis and its Applications 30 Differential Geometry and its Applications 27 Proceedings of the American Mathematical Society 26 Journal of Pure and Applied Algebra 25 Communications in Mathematical Physics 23 Compositio Mathematica 23 Tôhoku Mathematical Journal. 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Académie des Sciences, Paris 8 Groups, Geometry, and Dynamics 7 Nagoya Mathematical Journal 7 European Journal of Combinatorics 7 Journal of the American Mathematical Society 7 Forum Mathematicum 7 Izvestiya: Mathematics 7 Journal of Group Theory 7 Annals of Mathematics. Second Series 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Science China. Mathematics 6 Journal d’Analyse Mathématique 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Physics Letters. B 6 Journal of Combinatorial Theory. Series A 6 Monatshefte für Mathematik 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Results in Mathematics 6 Acta Applicandae Mathematicae 6 Russian Mathematics 6 Bulletin des Sciences Mathématiques 6 Journal of Dynamical and Control Systems 5 Linear and Multilinear Algebra 5 Algebra and Logic 5 Hiroshima Mathematical Journal 5 Journal of Differential Geometry 5 Journal of Number Theory 5 Michigan Mathematical Journal 5 Proceedings of the London Mathematical Society. Third Series 5 Advances in Applied Mathematics 5 Discrete & Computational Geometry 5 Revista Matemática Iberoamericana 5 Experimental Mathematics 5 Journal of Algebraic Geometry ...and 247 more Serials all top 5 Cited in 57 Fields 573 Nonassociative rings and algebras (17-XX) 530 Group theory and generalizations (20-XX) 526 Algebraic geometry (14-XX) 463 Topological groups, Lie groups (22-XX) 399 Differential geometry (53-XX) 221 Manifolds and cell complexes (57-XX) 197 Several complex variables and analytic spaces (32-XX) 196 Number theory (11-XX) 134 Geometry (51-XX) 125 Quantum theory (81-XX) 115 Convex and discrete geometry (52-XX) 107 Dynamical systems and ergodic theory (37-XX) 95 Associative rings and algebras (16-XX) 88 Linear and multilinear algebra; matrix theory (15-XX) 74 Global analysis, analysis on manifolds (58-XX) 70 Combinatorics (05-XX) 70 Commutative algebra (13-XX) 56 Abstract harmonic analysis (43-XX) 46 Functions of a complex variable (30-XX) 43 Functional analysis (46-XX) 36 Algebraic topology (55-XX) 35 Category theory; homological algebra (18-XX) 35 Partial differential equations (35-XX) 29 Probability theory and stochastic processes (60-XX) 28 Operator theory (47-XX) 27 Ordinary differential equations (34-XX) 27 Relativity and gravitational theory (83-XX) 23 Computer science (68-XX) 22 Systems theory; control (93-XX) 20 Operations research, mathematical programming (90-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 19 Mechanics of particles and systems (70-XX) 18 Mathematical logic and foundations (03-XX) 17 General topology (54-XX) 16 Statistics (62-XX) 16 Numerical analysis (65-XX) 11 Special functions (33-XX) 11 Information and communication theory, circuits (94-XX) 10 Field theory and polynomials (12-XX) 10 \(K\)-theory (19-XX) 9 General and overarching topics; collections (00-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Measure and integration (28-XX) 7 Real functions (26-XX) 7 Integral transforms, operational calculus (44-XX) 7 Mechanics of deformable solids (74-XX) 6 Approximations and expansions (41-XX) 5 History and biography (01-XX) 5 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 2 Integral equations (45-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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