Edit Profile Vinberg, Èrnest Borisovich Compute Distance To: Compute Author ID: vinberg.ernest-b Published as: Vinberg, E.; Vinberg, E. B.; Vinberg, Eh. B.; Vinberg, Ernest; Vinberg, Ernest B.; Vinberg, È B.; Vinberg, È. B.; Vinberg, Èrnest B.; Vinberg, É. B.; Viniberghi, E. Homepage: http://halgebra.math.msu.su/wiki/doku.php/staff:vinberg:english External Links: MGP · Math-Net.Ru · Wikidata · GND Documents Indexed: 165 Publications since 1959, including 23 Books Reviewing Activity: 9 Reviews Biographic References: 4 Publications all top 5 Co-Authors 87 single-authored 13 Onishchik, Arkadiĭ L’vovich 7 Popov, Vladimir Leonidovich 7 Shvartsman, O. V. 6 Elashvili, Alexander G. 6 Gindikin, Simon Grigorevich 6 Gorbatsevich, Vladimir V. 5 Artamonov, Vyacheslav Aleksandrovich 5 Gamkrelidze, Revaz Valerianovich 5 Kac, Victor G. 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, Alexei N. 3 Piatetski-Shapiro, Ilya 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Gufan, Yu. M. 2 Iskovskikh, Vasiliĭ Alekseevich 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, Raphael 1 Kapovich, Michael 1 Karpelevich, Friedrich I. 1 Kazarin, Lev S. 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 Lukatsky, Alexander M. 1 Malyshev, Vadim Aleksandrovich 1 Manin, Yuri 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 Panin, Ivan A. 1 Pankrat’ev, Evgenii 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 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 Encyclopaedia of Mathematical Sciences 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 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) 15 Number theory (11-XX) 14 Differential geometry (53-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 138 Publications have been cited 2,323 times in 1,771 Documents Cited by ▼ Year ▼ Lie groups and algebraic groups. Translated from the Russian by D. A. Leites. Zbl 0722.22004Onishchik, A. L.; Vinberg, E. B. 267 1990 The theory of convex homogeneous cones. Zbl 0138.43301Vinberg, E. B. 184 1963 Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin. Zbl 0797.22001Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V. 155 1994 Complexity of action of reductive groups. Zbl 0601.14038Vinberg, È. B. 67 1986 Invariant theory. Zbl 0789.14008Popov, V. L.; Vinberg, Eh. B. 60 1989 Foundations of Lie theory and Lie transformation groups. Transl. from the Russian by A. Kozlowski. 2nd printing of the 1st ed. 1993. Zbl 0999.17500Gorbatsevich, V. V. (ed.); Onishchik, A. L. (ed.); Vinberg, E. B. (ed.) 48 1997 The Weyl group of a graded Lie algebra. Zbl 0363.20035Vinberg, È. B. 48 1976 Structure of Lie groups and algebras. Zbl 0733.22003Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L. 43 1990 The Weyl group of a graded Lie algebra. Zbl 0371.20041Vinberg, È. B. 43 1977 Seminar on Lie groups and algebraic groups. Zbl 0648.22009Vinberg, È. B.; Onishchik, A. L. 42 1988 Invariant convex cones and orderings in Lie groups. Zbl 0452.22014Vinberg, È. B. 41 1980 Seminar on Lie groups and algebraic groups. 2nd ed. Zbl 0876.22001Vinberg, È. B.; Onishchik, A. L. 40 1995 Hyperbolic reflection groups. Zbl 0579.51015Vinberg, È. B. 39 1985 Discrete linear groups generated by reflections. Zbl 0256.20067Vinberg, E. B. 36 1972 On groups of unit elements of certain quadratic forms. Zbl 0252.20054Vinberg, E. B. 36 1972 Orbits of greatest dimension in semisimple linear Lie groups. Zbl 0176.30301Andreev, E. M.; Vinberg, È. B.; Èlashvili, A. G. 34 1967 Discrete groups generated by reflections in Lobachevskii spaces. Zbl 0166.16303Vinberg, È. B. 34 1967 On a class of quasihomogeneous affine varieties. Zbl 0255.14016Vinberg, E. B.; Popov, V. L. 32 1973 Invariant theory. Zbl 0735.14010Popov, V. L.; Vinberg, Eh. B. 30 1989 On the classification of the nilpotent elements of graded Lie algebras. Zbl 0374.17001Vinberg, E. B. 30 1975 On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009Vinberg, È. B. 29 1991 The two most algebraic K3 surfaces. Zbl 0537.14025Vinberg, E. B. 29 1983 A course in algebra. Transl. from the Russian by Alexander Retakh. Zbl 1016.00003Vinberg, E. B. 28 2003 Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups. Zbl 0439.53055Vinberg, E. B.; Kimel’fel’d, B. N. 28 1979 Quasi-homogeneous cones. Zbl 0163.16902Vinberg, È. B.; Kac, V. G. 28 1967 Commutative homogeneous spaces and co-isotropic symplectic actions. Zbl 0996.53034Vinberg, È. B. 27 2001 Homogeneous cones. Zbl 0143.05203Vinberg, Eh. B. 26 1960 Some open problems in invariant theory. Zbl 0783.14028Popov, V. L.; Vinberg, E. B. 25 1992 Geometry of spaces of constant curvature. Zbl 0787.53001Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S. 25 1988 Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre. Zbl 0343.20023Kac, Victor G.; Popov, Vladimir L.; Vinberg, Ernest B. 25 1976 On reductive algebraic semigroups. Zbl 0840.20041Vinberg, E. B. 24 1995 Rings of definition of dense subgroups of semisimple linear groups. Zbl 0252.20043Vinberg, E. B. 24 1972 Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603Vinberg, È. B.; Piatetski-Shapiro, Ilya I. 24 1963 Discrete subgroups of Lie groups. Zbl 0656.22004Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V. 23 1988 Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012Vinberg, È. B.; Shvartsman, O. V. 23 1988 On right-angled reflection groups in hyperbolic spaces. Zbl 1072.20046Potyagailo, Leonid; Vinberg, Ernest 22 2005 Weakly symmetric spaces and spherical varieties. Zbl 0916.53024Akhiezer, D. N.; Vinberg, E. B. 21 1999 The classification of three-vectors of the nine-dimensional space. Zbl 0441.15010Vinberg, È. B.; Èlashvili, A. G. 21 1978 Spinors of 13-dimensional space. Zbl 0429.20043Gatti, V.; Viniberghi, E. 20 1978 On invariants of a set of matrices. Zbl 0884.14006Vinberg, E. B. 19 1996 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008Gamkrelidze, R. V. (ed.); Vinberg, E. B. (ed.) 18 1993 On the groups \(O_{18,1}(\mathbb Z)\) and \(O_{19,1}(\mathbb Z)\). Zbl 0402.20034Vinberg, È. B.; Kaplinskaya, I. M. 18 1978 The Morozov-Borel theorem for real Lie groups. Zbl 0112.02505Vinberg, È. B. 18 1961 The structure of the group of automorphisms of a homogeneous convex cone. Zbl 0311.17008Vinberg, E. B. 17 1967 A generalized Harish-Chandra isomorphism. Zbl 1231.17005Khoroshkin, Sergey; Nazarov, Maxim; Vinberg, Ernest 16 2011 Strong Tits alternative for subgroups of Coxeter groups. Zbl 0999.20029Noskov, Guennadi A.; Vinberg, Èrnest B. 16 2002 Some linear groups virtually having a free quotient. Zbl 0958.22008Margulis, G. A.; Vinberg, È. B. 16 2000 A classification of homogeneous nilpotent elements of a semi-simple graded Lie algebra. Zbl 0431.17006Vinberg, Eh. B. 15 1979 On the algebra of Siegel modular forms of genus 2. Zbl 1302.05005Vinberg, E. B. 14 2013 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011Onishchik, A. L. (ed.); Vinberg, E. B. (ed.); Gamkrelidze, R. V. (ed.) 13 2000 Some arithmetical discrete groups in Lobacevskii spaces. Zbl 0316.10013Vinberg, E. B. 12 1975 Volumes of non-Euclidean polyhedra. Zbl 0799.01019Vinberg, È. B. 11 1993 The structure of the group of automorphisms of a homogeneous convex cone. Zbl 0224.17010Vinberg, È. B. 11 1965 Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010Vinberg, Eh. B. 10 1987 On unimodular integral quadratic forms. Zbl 0252.10027Vinberg, E. B. 10 1972 On the theorem concerning the infinite-dimensionality of an associative algebra. Zbl 0171.29401Vinberg, È. B. 10 1965 Some free algebras of automorphic forms on symmetric domains of type IV. Zbl 1225.05015Vinberg, E. B. 9 2010 Commutative homogeneous spaces of Heisenberg type. Zbl 1068.22015Vinberg, È. B. 9 2003 Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003Vinberg, Ernest B. 9 1989 The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension. Zbl 0593.22007Vinberg, È. B. 9 1984 Foundations of Lie theory. Zbl 0781.22003Onishchik, A. L.; Vinberg, È. B. 8 1988 Absence of crystallographic reflection groups in Lobachevskiĭ spaces of large dimension. Zbl 0462.51013Vinberg, È. B. 8 1981 Kählerian manifolds admitting a transitive solvable automorphism group. Zbl 0172.37803Vinberg, Eh. B.; Gindikin, S. G. 8 1969 Homogeneous Kähler manifolds. Zbl 0183.35401Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B. 8 1968 The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018Vinberg, Ernest B. 7 1995 Real entire functions with prescribed critical values. Zbl 0741.30037Vinberg, È. B. 7 1989 Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073Vinberg, E. B. 6 2007 Classification of trivectors of a 9-dimensional space. Zbl 0648.15021Vinberg, È. B.; Èlashvili, A. G. 6 1988 Discrete subgroups of Lie groups. Zbl 0931.22007Vinberg, E. B.; Borbatsevich, V. V.; Shvartsman, O. V. 6 1988 Linear representations of groups. Zbl 0566.20004Vinberg, È. B. 6 1985 Rationality of the field of invariants of a triangular group. Zbl 0493.14005Vinberg, Eh. B. 6 1982 Complete families of commuting functions for coisotropic Hamiltonian actions. Zbl 07055767Vinberg, Ernest B.; Yakimova, Oksana S. 5 2019 A criterion of smoothness at infinity for an arithmetic quotient of the future tube. Zbl 1371.32016Shvartsman, O. V.; Vinberg, E. B. 5 2017 Cyclic elements in semisimple Lie algebras. Zbl 1329.17007Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 5 2013 Generating semisimple groups by tori. Zbl 1220.22005Abels, Herbert; Vinberg, E. B. 5 2011 Linear representations of groups. Transl. from the Russian by A. Iacob. Reprint of the 1989 original. Zbl 1206.20008Vinberg, Ernest B. 5 2010 Construction of the exceptional simple Lie algebras. Zbl 1069.17003Vinberg, E. B. 5 2005 The dual horospherical Radon transform for polynomials. Zbl 1003.43008Hilgert, J.; Pasquale, A.; Vinberg, E. B. 5 2002 Generalized derivations of algebras. Zbl 0828.16040Vinberg, E. B. 5 1995 The smallest field of definition of a subgroup of the group \(\text{PSL}_ 2\). Zbl 0831.20061Vinberg, È. B. 5 1993 Reflection subgroups in Bianchi groups. Zbl 0725.20037Vinberg, È. B. 5 1990 Diskrete lineare Gruppen, die vermittels Spiegelungen erzeugt sind. Zbl 0247.20054Vinberg, E. B. 5 1971 Non-arithmetic hyperbolic reflection groups in higher dimensions. Zbl 1359.51004Vinberg, E. B. 4 2015 On some number-theoretic conjectures of V. Arnold. Zbl 1168.05004Vinberg, E. B. 4 2007 The dual horospherical Radon transform as a limit of spherical Radon transforms. Zbl 1049.53053Hilgert, J.; Pasquale, A.; Vinberg, E. B. 4 2003 Equivariant symplectic geometry of cotangent bundles. Zbl 1045.14020Vinberg, E. B. 4 2001 On stability of actions of reductive algebraic groups. Zbl 1054.14064Vinberg, E. B. 4 2000 Semigroups in algebra, geometry and analysis. Zbl 0829.00020Hofmann, Karl Heinrich (ed.); Lawson, Jimmie D. (ed.); Vinberg, Ernest B. (ed.) 4 1995 Rationality of the field of invariants of a triangular group. Zbl 0524.14014Vinberg, Eh. B. 4 1982 Riemann surfaces. Zbl 0445.30032Vinberg, Eh. B.; Shvartsman, O. V. 4 1980 Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014Vinberg, E. B.; Popov, V. L. 4 1972 Kählersche Mannigfaltigkeiten, die eine transitive auflösbare Gruppe von Automorphismen zulassen. Zbl 0153.39903Vinberg, Eh. B.; Gindikin, S. G. 4 1967 Automorphisms of homogeneous convex cones. Zbl 0196.30501Vinberg, Eh. B. 4 1962 On invariant linear connections. Zbl 0113.37402Vinberg, Eh. B. 4 1959 Limits of integrable Hamiltonians on semisimple Lie algebras. Zbl 1354.17016Vinberg, È. B. 3 2014 An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations. Zbl 1317.17011de Graaf, W. A.; Vinberg, E. B.; Yakimova, O. S. 3 2012 The work of Vladimir Morozov on Lie algebras. Zbl 1206.01057Panyushev, Dmitri I.; Vinberg, Ernest B. 3 2010 On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 3 2009 Noncoherence of some lattices in \(\mathrm{Isom}(\mathbb H^n)\). Zbl 1139.22007Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest 3 2008 Short \(\mathrm{SO}_3\)-structures on simple Lie algebras and associated quasielliptic planes. Zbl 1081.17009Vinberg, E. B. 3 2005 Complete families of commuting functions for coisotropic Hamiltonian actions. Zbl 07055767Vinberg, Ernest B.; Yakimova, Oksana S. 5 2019 On some free algebras of automorphic forms. Zbl 1427.32014Vinberg, E. B. 1 2018 A criterion of smoothness at infinity for an arithmetic quotient of the future tube. Zbl 1371.32016Shvartsman, O. V.; Vinberg, E. B. 5 2017 Moduli algebras of some non-semiquasihomogeneous singularities. Zbl 1387.14047Elashvili, A. G.; Jibladze, M. A.; Vinberg, E. B. 2 2017 On a phenomenon discovered by Heinz Helling. Zbl 1387.30063Rehmann, U.; Vinberg, E. 2 2017 Non-abelian gradings of Lie algebras. Zbl 1390.17020Vinberg, Ernest B. 1 2017 In memoriam: Evgenii (Eugene) Borisovich Dynkin. Zbl 1344.01043Vinberg, È. B.; Kuznetsov, S. E. 1 2016 Non-arithmetic hyperbolic reflection groups in higher dimensions. Zbl 1359.51004Vinberg, E. B. 4 2015 Limits of integrable Hamiltonians on semisimple Lie algebras. Zbl 1354.17016Vinberg, È. B. 3 2014 On the algebra of Siegel modular forms of genus 2. Zbl 1302.05005Vinberg, E. B. 14 2013 Cyclic elements in semisimple Lie algebras. Zbl 1329.17007Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 5 2013 An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations. Zbl 1317.17011de Graaf, W. A.; Vinberg, E. B.; Yakimova, O. S. 3 2012 A generalized Harish-Chandra isomorphism. Zbl 1231.17005Khoroshkin, Sergey; Nazarov, Maxim; Vinberg, Ernest 16 2011 Generating semisimple groups by tori. Zbl 1220.22005Abels, Herbert; Vinberg, E. B. 5 2011 Some free algebras of automorphic forms on symmetric domains of type IV. Zbl 1225.05015Vinberg, E. B. 9 2010 Linear representations of groups. Transl. from the Russian by A. Iacob. Reprint of the 1989 original. Zbl 1206.20008Vinberg, Ernest B. 5 2010 The work of Vladimir Morozov on Lie algebras. Zbl 1206.01057Panyushev, Dmitri I.; Vinberg, Ernest B. 3 2010 Automorphic forms on symmetric domains of type IV. Zbl 1248.32011Vinberg, È B. 2 2010 On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 3 2009 Noncoherence of some lattices in \(\mathrm{Isom}(\mathbb H^n)\). Zbl 1139.22007Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest 3 2008 Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073Vinberg, E. B. 6 2007 On some number-theoretic conjectures of V. Arnold. Zbl 1168.05004Vinberg, E. B. 4 2007 On Abelian coverings of surfaces. Zbl 1168.57003Vinberg, Ernest 1 2007 On right-angled reflection groups in hyperbolic spaces. Zbl 1072.20046Potyagailo, Leonid; Vinberg, Ernest 22 2005 Construction of the exceptional simple Lie algebras. Zbl 1069.17003Vinberg, E. B. 5 2005 Short \(\mathrm{SO}_3\)-structures on simple Lie algebras and associated quasielliptic planes. Zbl 1081.17009Vinberg, E. B. 3 2005 Pseudo-finite generalized triangle groups. Zbl 1091.20025Vinberg, E. B.; Kaplinsky, R. 1 2004 A course in algebra. Transl. from the Russian by Alexander Retakh. Zbl 1016.00003Vinberg, E. B. 28 2003 Commutative homogeneous spaces of Heisenberg type. Zbl 1068.22015Vinberg, È. B. 9 2003 The dual horospherical Radon transform as a limit of spherical Radon transforms. Zbl 1049.53053Hilgert, J.; Pasquale, A.; Vinberg, E. B. 4 2003 Arkadii L’vovich Onishchik (on the occasion of his seventieth birthday). Zbl 1050.01508Akhiezer, D. N.; Vinberg, È. B.; Gorbatsevich, V. V.; et al. 1 2003 Strong Tits alternative for subgroups of Coxeter groups. Zbl 0999.20029Noskov, Guennadi A.; Vinberg, Èrnest B. 16 2002 The dual horospherical Radon transform for polynomials. Zbl 1003.43008Hilgert, J.; Pasquale, A.; Vinberg, E. B. 5 2002 Commutative homogeneous spaces and co-isotropic symplectic actions. Zbl 0996.53034Vinberg, È. B. 27 2001 Equivariant symplectic geometry of cotangent bundles. Zbl 1045.14020Vinberg, E. B. 4 2001 Possible ground states of D-wave condensates in isotropic space through geometric invariant theory. Zbl 1065.82003Gufan, Yu. M.; Popov, Al. V.; Sartori, G.; Talamini, V.; Valente, G.; Vinberg, E. B. 1 2001 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516Vinberg, 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 0958.22008Margulis, G. A.; Vinberg, È. B. 16 2000 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011Onishchik, A. L. (ed.); Vinberg, E. B. (ed.); Gamkrelidze, R. V. (ed.) 13 2000 On stability of actions of reductive algebraic groups. Zbl 1054.14064Vinberg, E. B. 4 2000 Weakly symmetric spaces and spherical varieties. Zbl 0916.53024Akhiezer, D. N.; Vinberg, E. B. 21 1999 An infinitesimal characterization of the complexity of homogeneous spaces. Zbl 0940.14037Panyushev, D. I.; Vinberg, E. B. 1 1999 Positivity in Lie theory: open problems. Zbl 0890.00034Hilgert, Joachim (ed.); Lawson, Jimmie D. (ed.); Neeb, Karl-Hermann (ed.); Vinberg, Ernest B. (ed.) 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 0999.17500Gorbatsevich, V. V. (ed.); Onishchik, A. L. (ed.); Vinberg, E. B. (ed.) 48 1997 Groups defined by periodic paired relations. Zbl 0901.20017Vinberg, È. B. 3 1997 On invariants of a set of matrices. Zbl 0884.14006Vinberg, E. B. 19 1996 Seminar on Lie groups and algebraic groups. 2nd ed. Zbl 0876.22001Vinberg, È. B.; Onishchik, A. L. 40 1995 On reductive algebraic semigroups. Zbl 0840.20041Vinberg, E. B. 24 1995 The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018Vinberg, Ernest B. 7 1995 Generalized derivations of algebras. Zbl 0828.16040Vinberg, E. B. 5 1995 Semigroups in algebra, geometry and analysis. Zbl 0829.00020Hofmann, Karl Heinrich (ed.); Lawson, Jimmie D. (ed.); Vinberg, Ernest B. (ed.) 4 1995 On some generalized triangle groups and three-dimensional orbifolds. Zbl 0867.22009Vinberg, È. B.; Mennicke, J.; Helling, H. 2 1995 Lie groups and Lie algebras: E. B. Dynkin’s seminar. Zbl 0828.00011Gindikin, S. G. (ed.); Vinberg, E. B. (ed.) 2 1995 On the work of E. B. Dynkin in the theory of Lie groups. Zbl 0840.22002Karpelevich, 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 0797.22001Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V. 155 1994 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008Gamkrelidze, R. V. (ed.); Vinberg, E. B. (ed.) 18 1993 Volumes of non-Euclidean polyhedra. Zbl 0799.01019Vinberg, È. B. 11 1993 The smallest field of definition of a subgroup of the group \(\text{PSL}_ 2\). Zbl 0831.20061Vinberg, È. B. 5 1993 Some open problems in invariant theory. Zbl 0783.14028Popov, V. L.; Vinberg, E. B. 25 1992 On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009Vinberg, È. B. 29 1991 The volume of polyhedra on a sphere and in Lobachevsky space. Zbl 0742.51019Vinberg, È. B. 3 1991 Lie groups and algebraic groups. Translated from the Russian by D. A. Leites. Zbl 0722.22004Onishchik, A. L.; Vinberg, E. B. 267 1990 Structure of Lie groups and algebras. Zbl 0733.22003Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L. 43 1990 Reflection subgroups in Bianchi groups. Zbl 0725.20037Vinberg, È. B. 5 1990 Lie groups and Lie algebras - 3. Zbl 0693.00007Gamkrelidze, R. V. (ed.); Vinberg, Eh. B. (ed.); Onishchik, A. L. (ed.) 1 1990 Invariant theory. Zbl 0789.14008Popov, V. L.; Vinberg, Eh. B. 60 1989 Invariant theory. Zbl 0735.14010Popov, V. L.; Vinberg, Eh. B. 30 1989 Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003Vinberg, Ernest B. 9 1989 Real entire functions with prescribed critical values. Zbl 0741.30037Vinberg, È. B. 7 1989 Seminar on Lie groups and algebraic groups. Zbl 0648.22009Vinberg, È. B.; Onishchik, A. L. 42 1988 Geometry of spaces of constant curvature. Zbl 0787.53001Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S. 25 1988 Discrete subgroups of Lie groups. Zbl 0656.22004Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V. 23 1988 Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012Vinberg, È. B.; Shvartsman, O. V. 23 1988 Foundations of Lie theory. Zbl 0781.22003Onishchik, A. L.; Vinberg, È. B. 8 1988 Classification of trivectors of a 9-dimensional space. Zbl 0648.15021Vinberg, È. B.; Èlashvili, A. G. 6 1988 Discrete subgroups of Lie groups. Zbl 0931.22007Vinberg, E. B.; Borbatsevich, V. V.; Shvartsman, O. V. 6 1988 Discrete groups of motions of spaces of constant curvature. Zbl 0699.22017Vinberg, Eh. B.; Shvartsman, O. V. 3 1988 Fundamentals of the theory of Lie groups. Zbl 0656.22002Vinberg, Eh. B.; Onishchik, A. L. 3 1988 Geometry of spaces of constant curvature. Zbl 0699.53001Alekseevskij, D. V.; Vinberg, Eh. B.; Solodovnikov, A. S. 1 1988 Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010Vinberg, Eh. B. 10 1987 Reflection subgroups in Bianchi groups. Zbl 0708.20016Vinberg, È. B. 1 1987 Effective invariant theory. Zbl 0628.15024Vinberg, Eh. B. 1 1987 Complexity of action of reductive groups. Zbl 0601.14038Vinberg, È. B. 67 1986 Hyperbolic reflection groups. Zbl 0579.51015Vinberg, È. B. 39 1985 Linear representations of groups. Zbl 0566.20004Vinberg, È. B. 6 1985 The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension. Zbl 0593.22007Vinberg, È. B. 9 1984 Discrete reflection groups in Lobachevsky spaces. Zbl 0563.51011Vinberg, È. B. 3 1984 The two most algebraic K3 surfaces. Zbl 0537.14025Vinberg, E. B. 29 1983 On reflective hyperbolic lattices. Zbl 0565.10027Vinberg, Eh. B. 1 1983 Rationality of the field of invariants of a triangular group. Zbl 0493.14005Vinberg, Eh. B. 6 1982 Rationality of the field of invariants of a triangular group. Zbl 0524.14014Vinberg, Eh. B. 4 1982 Effective theory of invariants. Zbl 0538.15012Vinberg, Eh. B. 1 1982 Absence of crystallographic reflection groups in Lobachevskiĭ spaces of large dimension. Zbl 0462.51013Vinberg, È. B. 8 1981 Absence of crystallographic groups of reflections in Lobachevskij spaces of large dimension. Zbl 0468.51006Vinberg, Eh. B. 3 1981 Invariant convex cones and orderings in Lie groups. Zbl 0452.22014Vinberg, È. B. 41 1980 Riemann surfaces. Zbl 0445.30032Vinberg, Eh. B.; Shvartsman, O. V. 4 1980 On the closure of an orbit of a reductive linear group. Zbl 0475.20032Vinberg, Eh. B. 1 1980 Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups. Zbl 0439.53055Vinberg, E. B.; Kimel’fel’d, B. N. 28 1979 A classification of homogeneous nilpotent elements of a semi-simple graded Lie algebra. Zbl 0431.17006Vinberg, Eh. B. 15 1979 The classification of three-vectors of the nine-dimensional space. Zbl 0441.15010Vinberg, È. B.; Èlashvili, A. G. 21 1978 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,836 Authors 31 Panyushev, Dmitri Ivanovich 21 Vinberg, Èrnest Borisovich 18 Alekseevskiĭ, Dmitriĭ Vladimirovich 17 Kac, Victor G. 15 Bai, Chengming 15 Yakimova, Oksana S. 13 Popov, Vladimir Leonidovich 12 Hilgert, Joachim 12 Nikonorov, Yurii Gennadyevich 11 Kellerhals, Ruth 11 Losev, Ivan V. 11 Tumarkin, Pavel 10 Dorfmeister, Josef F. 10 Felikson, Anna Aleksandrovna 10 Gorbatsevich, Vladimir V. 9 Bocheński, Maciej Franciszek 9 Hofmann, Karl Heinrich 9 Ishi, Hideyuki 8 Allcock, Daniel Jonathan 8 Arzhantsev, Ivan Vladimirovich 8 Avdeev, Roman S. 8 Ayala, Victor 8 Belolipetsky, Mikhail V. 8 Bibikov, Pavel Vitalievich 8 Brion, Michel 8 de Graaf, Willem Adriaan 8 Đoković, Dragomir Ž. 8 Röhrle, Gerhard E. 8 Tralle, Aleksy E. 7 Choi, Suhyoung 7 Elduque, Alberto 7 Guralnick, Robert Michael 7 Isaev, Alexander 7 Petukhov, Alexey V. 7 Rapinchuk, Andrei S. 7 Reichstein, Zinovy B. 7 Reid, Alan W. 7 Samovol, Vladimir Simkhovich 7 Schwarz, Gerald Walter 7 Tschantz, Steven Thomas 6 Berestovskiĭ, Valeriĭ Nikolaevich 6 Elashvili, Alexander G. 6 Futorny, Vyacheslav M. 6 Kolpakov, Alexander A. 6 Long, Darren D. 6 Perelomov, Askold M. 6 Shima, Hirohiko 6 Silva, Adriano Da 5 Berceanu, Stefan 5 Caprace, Pierre-Emmanuel 5 Draper, Cristina 5 Gorodski, Claudio 5 Joseph, Anthony 5 Khoroshkin, Sergey M. 5 Knop, Friedrich 5 Kruglikov, Boris S. 5 Leites, Dimitry A. 5 Marquis, Ludovic 5 Miebach, Christian 5 Nazarov, Maxim Leonidovich 5 Ooms, Alfons I. 5 Premet, Alexander A. 5 Ratcliffe, John G. 5 Saloff-Coste, Laurent 5 Sikora, Adam S. 4 Abedi, Hosein 4 Abels, Herbert 4 Akbarov, Sergei S. 4 Akhiezer, Dmitriĭ Naumovich 4 Benoist, Yves 4 Biggs, Rory 4 Borcherds, Richard Ewen 4 Chen, Zhiqi 4 Cooper, Daryl 4 Cortés, Vicente 4 Cupit-Foutou, Stéphanie 4 Dolgachev, Igor’ Vladimirovich 4 Galaev, Anton S. 4 Garibaldi, Skip 4 Geatti, Laura 4 Goldman, William M. 4 Goodwin, Simon M. 4 Herbig, Hans-Christian 4 Jacquemet, Matthieu 4 Kai, Chifune 4 Kharlamov, Viatcheslav M. 4 Kondō, Shigeyuki 4 Kraft, Hanspeter 4 Krasnov, Vladimir Aleksandrovich 4 Lê Hông Vân 4 Levasseur, Thierry 4 Lychagin, Valentin V. 4 Malmendier, Andreas 4 Martin, Benjamin M. S. 4 Molev, Alexander I. 4 Muller, Iris 4 Nikulin, Vyacheslav Valentinovich 4 Nomura, Takaaki 4 Ogata, Shoetsu 4 Pezzini, Guido ...and 1,736 more Authors all top 5 Cited in 288 Serials 169 Journal of Algebra 61 Advances in Mathematics 50 Geometriae Dedicata 46 Annales de l’Institut Fourier 43 Journal of Mathematical Sciences (New York) 38 Journal of Geometry and Physics 37 Linear Algebra and its Applications 35 Transactions of the American Mathematical Society 34 Mathematische Zeitschrift 32 Duke Mathematical Journal 32 Functional Analysis and its Applications 31 Mathematical Notes 31 Inventiones Mathematicae 31 Mathematische Annalen 29 Differential Geometry and its Applications 29 Transformation Groups 23 Journal of Pure and Applied Algebra 23 Tohoku Mathematical Journal. 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Mathematics 5 Journal d’Analyse Mathématique 5 Hiroshima Mathematical Journal 5 Nagoya Mathematical Journal 5 Acta Applicandae Mathematicae 5 Journal of Algebraic Combinatorics 5 St. Petersburg Mathematical Journal 5 Bulletin des Sciences Mathématiques 5 Izvestiya: Mathematics 5 Annals of Mathematics. Second Series 5 Journal of Dynamical and Control Systems 5 Journal of Nonlinear Mathematical Physics 5 Groups, Geometry, and Dynamics 4 Linear and Multilinear Algebra 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Reports on Mathematical Physics 4 Rocky Mountain Journal of Mathematics 4 Russian Mathematical Surveys 4 Reviews in Mathematical Physics 4 Algebra and Logic 4 Publications Mathématiques 4 Journal of Number Theory 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Advances in Applied Mathematics 4 Discrete & Computational Geometry 4 Revista Matemática Iberoamericana 4 Science in China. Series A 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Russian Mathematics 4 Journal of Algebraic Geometry 4 Journal of Group Theory 4 Acta Mathematica Sinica. English Series 4 Central European Journal of Mathematics ...and 188 more Serials all top 5 Cited in 57 Fields 439 Nonassociative rings and algebras (17-XX) 415 Group theory and generalizations (20-XX) 394 Algebraic geometry (14-XX) 361 Topological groups, Lie groups (22-XX) 323 Differential geometry (53-XX) 171 Manifolds and cell complexes (57-XX) 166 Several complex variables and analytic spaces (32-XX) 143 Number theory (11-XX) 104 Geometry (51-XX) 93 Quantum theory (81-XX) 86 Convex and discrete geometry (52-XX) 79 Linear and multilinear algebra; matrix theory (15-XX) 79 Dynamical systems and ergodic theory (37-XX) 71 Associative rings and algebras (16-XX) 67 Global analysis, analysis on manifolds (58-XX) 57 Commutative algebra (13-XX) 50 Abstract harmonic analysis (43-XX) 49 Combinatorics (05-XX) 33 Functional analysis (46-XX) 32 Functions of a complex variable (30-XX) 29 Partial differential equations (35-XX) 29 Algebraic topology (55-XX) 26 Ordinary differential equations (34-XX) 24 Operator theory (47-XX) 23 Category theory; homological algebra (18-XX) 23 Probability theory and stochastic processes (60-XX) 23 Systems theory; control (93-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 19 Relativity and gravitational theory (83-XX) 16 Computer science (68-XX) 15 General topology (54-XX) 14 Mathematical logic and foundations (03-XX) 14 Mechanics of particles and systems (70-XX) 14 Operations research, mathematical programming (90-XX) 11 Special functions (33-XX) 11 Statistics (62-XX) 10 Field theory and polynomials (12-XX) 10 Numerical analysis (65-XX) 9 \(K\)-theory (19-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Information and communication theory, circuits (94-XX) 6 Measure and integration (28-XX) 6 Integral transforms, operational calculus (44-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of deformable solids (74-XX) 4 History and biography (01-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-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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