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Vinberg, Èrnest Borisovich (b. 1937 d. 2020)

Author ID: vinberg.ernest-b Recent zbMATH articles by "Vinberg, Èrnest Borisovich"
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.
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
2,235 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 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, 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

Publications by Year

Citations contained in zbMATH Open

143 Publications have been cited 2,785 times in 2,123 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.
321
1990
The theory of convex homogeneous cones. Zbl 0138.43301
Vinberg, E. B.
238
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.
191
1994
Complexity of action of reductive groups. Zbl 0601.14038
Vinberg, È. B.
77
1986
Invariant theory. Zbl 0789.14008
Popov, V. L.; Vinberg, Eh. B.
66
1989
The Weyl group of a graded Lie algebra. Zbl 0363.20035
Vinberg, È. B.
54
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.
50
1977
Structure of Lie groups and algebras. Zbl 0733.22003
Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L.
45
1990
Seminar on Lie groups and algebraic groups. (Семинар по группам Ли и алгебраическим группам.) Zbl 0648.22009
Vinberg, È. B.; Onishchik, A. L.
45
1988
Hyperbolic reflection groups. Zbl 0579.51015
Vinberg, È. B.
44
1985
Invariant convex cones and orderings in Lie groups. Zbl 0452.22014
Vinberg, È. B.
44
1980
Discrete linear groups generated by reflections. Zbl 0256.20067
Vinberg, E. B.
42
1972
Discrete groups generated by reflections in Lobachevskii spaces. Zbl 0166.16303
Vinberg, È. B.
42
1967
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 groups of unit elements of certain quadratic forms. Zbl 0252.20054
Vinberg, E. B.
40
1972
A course in algebra. Transl. from the Russian by Alexander Retakh. Zbl 1016.00003
Vinberg, E. B.
38
2003
On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009
Vinberg, È. B.
38
1991
Commutative homogeneous spaces and co-isotropic symplectic actions. Zbl 0996.53034
Vinberg, È. B.
37
2001
The two most algebraic K3 surfaces. Zbl 0537.14025
Vinberg, E. B.
37
1983
Orbits of greatest dimension in semisimple linear Lie groups. Zbl 0176.30301
Andreev, E. M.; Vinberg, È. B.; Èlashvili, A. G.
37
1967
On reductive algebraic semigroups. Zbl 0840.20041
Vinberg, E. B.
36
1995
Rings of definition of dense subgroups of semisimple linear groups. Zbl 0252.20043
Vinberg, E. B.
34
1972
On right-angled reflection groups in hyperbolic spaces. Zbl 1072.20046
Potyagailo, Leonid; Vinberg, Ernest
33
2005
On a class of quasihomogeneous affine varieties. Zbl 0255.14016
Vinberg, E. B.; Popov, V. L.
33
1973
Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups. Zbl 0439.53055
Vinberg, E. B.; Kimel’fel’d, B. N.
32
1979
Homogeneous cones. Zbl 0143.05203
Vinberg, Eh. B.
32
1960
On the classification of the nilpotent elements of graded Lie algebras. Zbl 0374.17001
Vinberg, E. B.
29
1975
Quasi-homogeneous cones. Zbl 0163.16902
Vinberg, È. B.; Kac, V. G.
29
1967
Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603
Vinberg, È. B.; Piatetski-Shapiro, Ilya I.
28
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.
27
1976
Geometry of spaces of constant curvature. Zbl 0787.53001
Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S.
27
1988
Weakly symmetric spaces and spherical varieties. Zbl 0916.53024
Akhiezer, D. N.; Vinberg, E. B.
26
1999
Spinors of 13-dimensional space. Zbl 0429.20043
Gatti, V.; Viniberghi, E.
26
1978
Invariant theory. Zbl 0735.14010
Popov, V. L.; Vinberg, Eh. B.
25
1989
Some open problems in invariant theory. Zbl 0783.14028
Popov, V. L.; Vinberg, E. B.
25
1992
Some arithmetical discrete groups in Lobacevskii spaces. Zbl 0316.10013
Vinberg, E. B.
24
1975
Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012
Vinberg, È. B.; Shvartsman, O. V.
24
1988
On invariants of a set of matrices. Zbl 0884.14006
Vinberg, E. B.
23
1996
The classification of three-vectors of the nine-dimensional space. Zbl 0441.15010
Vinberg, È. B.; Èlashvili, A. G.
23
1978
Discrete subgroups of Lie groups. Zbl 0656.22004
Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V.
23
1988
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
23
1993
Strong Tits alternative for subgroups of Coxeter groups. Zbl 0999.20029
Noskov, Guennadi A.; Vinberg, Èrnest B.
19
2002
On the groups \(O_{18,1}(\mathbb Z)\) and \(O_{19,1}(\mathbb Z)\). Zbl 0402.20034
Vinberg, È. B.; Kaplinskaya, I. M.
19
1978
Absence of crystallographic reflection groups in Lobachevskiĭ spaces of large dimension. Zbl 0462.51013
Vinberg, È. B.
19
1981
The Morozov-Borel theorem for real Lie groups. Zbl 0112.02505
Vinberg, È. B.
19
1961
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
On the algebra of Siegel modular forms of genus 2. Zbl 1302.05005
Vinberg, E. B.
17
2013
A classification of homogeneous nilpotent elements of a semi-simple graded Lie algebra. Zbl 0431.17006
Vinberg, Eh. B.
16
1979
The structure of the group of automorphisms of a homogeneous convex cone. Zbl 0224.17010
Vinberg, È. B.
16
1965
Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010
Vinberg, Eh. B.
15
1987
Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073
Vinberg, E. B.
15
2007
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
13
2000
The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension. Zbl 0593.22007
Vinberg, È. B.
13
1984
Volumes of non-Euclidean polyhedra. Zbl 0799.01019
Vinberg, È. B.
13
1993
Some free algebras of automorphic forms on symmetric domains of type IV. Zbl 1225.05015
Vinberg, E. B.
13
2010
Commutative homogeneous spaces of Heisenberg type. Zbl 1068.22015
Vinberg, È. B.
12
2003
Cyclic elements in semisimple Lie algebras. Zbl 1329.17007
Elashvili, A. G.; Kac, V. G.; Vinberg, E. B.
12
2013
Foundations of Lie theory. Zbl 0781.22003
Onishchik, A. L.; Vinberg, È. B.
11
1988
On the theorem concerning the infinite-dimensionality of an associative algebra. Zbl 0171.29401
Vinberg, È. B.
11
1965
Diskrete lineare Gruppen, die vermittels Spiegelungen erzeugt sind. Zbl 0247.20054
Vinberg, E. B.
10
1971
On unimodular integral quadratic forms. Zbl 0252.10027
Vinberg, E. B.
10
1972
The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018
Vinberg, Ernest B.
9
1995
On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006
Elashvili, A. G.; Kac, V. G.; Vinberg, E. B.
9
2009
Non-arithmetic hyperbolic reflection groups in higher dimensions. Zbl 1359.51004
Vinberg, E. B.
9
2015
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
Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003
Vinberg, Ernest B.
8
1989
Classification of trivectors of a 9-dimensional space. Zbl 0648.15021
Vinberg, È. B.; Èlashvili, A. G.
8
1988
Kählerian manifolds admitting a transitive solvable automorphism group. Zbl 0172.37803
Vinberg, Eh. B.; Gindikin, S. G.
8
1969
Discrete subgroups of Lie groups. Zbl 0931.22007
Vinberg, E. B.; Borbatsevich, V. V.; Shvartsman, O. V.
7
1988
Real entire functions with prescribed critical values. Zbl 0741.30037
Vinberg, È. B.
7
1989
Reflection subgroups in Bianchi groups. Zbl 0725.20037
Vinberg, È. B.
6
1990
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
Linear representations of groups. (Линеĭные представления гроуп.) Zbl 0566.20004
Vinberg, È. B.
6
1985
Discrete groups of motions of spaces of constant curvature. Zbl 0699.22017
Vinberg, Eh. B.; Shvartsman, O. V.
6
1988
Homogeneous Kähler manifolds. Zbl 0183.35401
Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B.
6
1968
Construction of the exceptional simple Lie algebras. Zbl 1069.17003
Vinberg, E. B.
6
2005
Complete families of commuting functions for coisotropic Hamiltonian actions. Zbl 1475.17039
Vinberg, Ernest B.; Yakimova, Oksana S.
6
2019
On some number-theoretic conjectures of V. Arnold. Zbl 1168.05004
Vinberg, E. B.
5
2007
Noncoherence of some lattices in \(\mathrm{Isom}(\mathbb H^n)\). Zbl 1139.22007
Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest
5
2008
The dual horospherical Radon transform for polynomials. Zbl 1003.43008
Hilgert, J.; Pasquale, A.; Vinberg, E. B.
5
2002
Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014
Vinberg, E. B.; Popov, V. L.
5
1972
On stability of actions of reductive algebraic groups. Zbl 1054.14064
Vinberg, E. B.
5
2000
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
Linear representations of groups. Transl. from the Russian by A. Iacob. Reprint of the 1989 original. Zbl 1206.20008
Vinberg, Ernest B.
5
2010
Short \(\mathrm{SO}_3\)-structures on simple Lie algebras and associated quasielliptic planes. Zbl 1081.17009
Vinberg, E. B.
5
2005
Generating semisimple groups by tori. Zbl 1220.22005
Abels, Herbert; Vinberg, E. B.
5
2011
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
Equivariant symplectic geometry of cotangent bundles. Zbl 1045.14020
Vinberg, E. B.
4
2001
Riemann surfaces. Zbl 0445.30032
Vinberg, Eh. B.; Shvartsman, O. V.
4
1980
The dual horospherical Radon transform as a limit of spherical Radon transforms. Zbl 1049.53053
Hilgert, J.; Pasquale, A.; Vinberg, E. B.
4
2003
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
Fundamentals of the theory of Lie groups. Zbl 0656.22002
Vinberg, Eh. B.; Onishchik, A. L.
4
1988
Groups defined by periodic paired relations. Zbl 0901.20017
Vinberg, È. B.
4
1997
On invariant linear connections. Zbl 0113.37402
Vinberg, È. B.
4
1959
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.
6
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.
9
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
Non-abelian gradings of Lie algebras. Zbl 1390.17020
Vinberg, Ernest 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.
9
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.
13
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
5
2008
Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073
Vinberg, E. B.
15
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
33
2005
Construction of the exceptional simple Lie algebras. Zbl 1069.17003
Vinberg, E. B.
6
2005
Short \(\mathrm{SO}_3\)-structures on simple Lie algebras and associated quasielliptic planes. Zbl 1081.17009
Vinberg, E. B.
5
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.
38
2003
Commutative homogeneous spaces of Heisenberg type. Zbl 1068.22015
Vinberg, È. B.
12
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.
19
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.
37
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
13
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.
26
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.
36
1995
The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018
Vinberg, Ernest B.
9
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.
191
1994
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
23
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
On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009
Vinberg, È. B.
38
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.
321
1990
Structure of Lie groups and algebras. Zbl 0733.22003
Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L.
45
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
1
1990
Invariant theory. Zbl 0789.14008
Popov, V. L.; Vinberg, Eh. B.
66
1989
Invariant theory. Zbl 0735.14010
Popov, V. L.; Vinberg, Eh. B.
25
1989
Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003
Vinberg, Ernest B.
8
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.
45
1988
Geometry of spaces of constant curvature. Zbl 0787.53001
Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S.
27
1988
Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012
Vinberg, È. B.; Shvartsman, O. V.
24
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.
8
1988
Discrete subgroups of Lie groups. Zbl 0931.22007
Vinberg, E. B.; Borbatsevich, V. V.; Shvartsman, O. V.
7
1988
Discrete groups of motions of spaces of constant curvature. Zbl 0699.22017
Vinberg, Eh. B.; Shvartsman, O. V.
6
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.
2
1988
Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010
Vinberg, Eh. B.
15
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.
77
1986
Hyperbolic reflection groups. Zbl 0579.51015
Vinberg, È. B.
44
1985
Linear representations of groups. (Линеĭные представления гроуп.) Zbl 0566.20004
Vinberg, È. B.
6
1985
The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension. Zbl 0593.22007
Vinberg, È. B.
13
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.
44
1980
Riemann surfaces. Zbl 0445.30032
Vinberg, Eh. B.; Shvartsman, O. V.
4
1980
On the closure of an orbit of a reductive linear group. Zbl 0475.20032
Vinberg, Eh. B.
1
1980
...and 43 more Documents
all top 5

Cited by 2,137 Authors

38 Panyushev, Dmitri Ivanovich
24 Alekseevskiĭ, Dmitriĭ Vladimirovich
22 Kac, Victor G.
22 Yakimova, Oksana S.
20 Vinberg, Èrnest Borisovich
15 Bai, Chengming
15 Gorbatsevich, Vladimir Vital’evich
14 Popov, Vladimir Leonidovich
13 Nikonorov, Yurii Gennadyevich
12 de Graaf, Willem Adriaan
12 Hilgert, Joachim
12 Ishi, Hideyuki
12 Kellerhals, Ruth
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 Ayala, Victor
9 Belolipetsky, Mikhail V.
9 Brion, Michel
9 Đoković, Dragomir Ž.
9 Hofmann, Karl Heinrich
9 Petukhov, Alexey V.
8 Allcock, Daniel Jonathan
8 Arzhantsev, Ivan Vladimirovich
8 Borovoi, Mikhail V.
8 Elashvili, Alexander Grigorievich
8 Elduque, Alberto
8 Guralnick, Robert Michael
8 Leites, Dimitry A.
8 Perelomov, Askold M.
8 Reid, Alan W.
8 Röhrle, Gerhard E.
8 Schwarz, Gerald Walter
7 Berestovskiĭ, Valeriĭ Nikolaevich
7 Choi, Suhyoung
7 Futorny, Vyacheslav M.
7 Isaev, Alexander
7 Kolpakov, Alexander A.
7 Marrani, Alessio
7 Rapinchuk, Andrei S.
7 Reichstein, Zinovy B.
7 Samovol, Vladimir Simkhovich
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 Kondō, Shigeyuki
6 Kruglikov, Boris S.
6 Long, Darren D.
6 Marquis, Ludovic
6 Nakashima, Hideto
6 Premet, Alexander A.
6 Shima, Hirohiko
6 Shimada, Ichiro
6 Timashev, Dmitri A.
6 Vesnin, Andrei Yu.
5 Abels, Herbert
5 Akhiezer, Dmitriĭ Naumovich
5 Berceanu, Stefan
5 Caprace, Pierre-Emmanuel
5 Chen, Liangyun
5 Galaev, Anton S.
5 Goldman, William M.
5 Joseph, Anthony
5 Knop, Friedrich
5 Kraft, Hanspeter
5 Krasnov, Vladimir Aleksandrovich
5 Lê Hông Vân
5 Miebach, Christian
5 Nikulin, Vyacheslav Valentinovich
5 Ooms, Alfons I.
5 Ratcliffe, John G.
5 Razumov, Alexander V.
5 Reeder, Mark
5 Salgado, Gil
5 Saloff-Coste, Laurent
5 Sikora, Adam S.
5 Stover, Matthew
4 Akbarov, Sergei S.
4 Alexeev, Valery A.
4 Benoist, Yves
4 Biggs, Rory
4 Borcherds, Richard Ewen
4 Brandhorst, Simon
4 Bulois, Michaël
4 Burde, Dietrich
4 Can, Mahir Bilen
4 Cooper, Daryl
4 Cupit-Foutou, Stéphanie
4 De Sole, Alberto
...and 2,037 more Authors
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Cited in 328 Serials

181 Journal of Algebra
72 Advances in Mathematics
51 Geometriae Dedicata
47 Annales de l’Institut Fourier
47 Journal of Mathematical Sciences (New York)
45 Transactions of the American Mathematical Society
41 Transformation Groups
40 Linear Algebra and its Applications
39 Journal of Geometry and Physics
39 Mathematische Zeitschrift
35 Inventiones Mathematicae
34 Mathematical Notes
33 Duke Mathematical Journal
32 Functional Analysis and its Applications
31 Mathematische Annalen
30 Differential Geometry and its Applications
29 Communications in Algebra
25 Journal of Pure and Applied Algebra
24 Communications in Mathematical Physics
24 Proceedings of the American Mathematical Society
23 Tôhoku Mathematical Journal. Second Series
22 Compositio Mathematica
21 Journal of Mathematical Physics
21 Annals of Global Analysis and Geometry
20 Israel Journal of Mathematics
19 Manuscripta Mathematica
19 Transactions of the Moscow Mathematical Society
19 Proceedings of the Steklov Institute of Mathematics
18 Geometry & Topology
18 Journal of High Energy Physics
17 Journal of Functional Analysis
17 Indagationes Mathematicae. New Series
15 Topology and its Applications
14 Proceedings of the Japan Academy. Series A
14 The Journal of Geometric Analysis
13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
13 Siberian Mathematical Journal
13 Representation Theory
13 Algebraic & Geometric Topology
12 Letters in Mathematical Physics
12 International Journal of Mathematics
12 Selecta Mathematica. New Series
11 Nuclear Physics. B
11 Algebras and Representation Theory
10 Journal of Soviet Mathematics
10 Journal of Symbolic Computation
10 Geometric and Functional Analysis. GAFA
10 Bulletin of the American Mathematical Society. New Series
10 Journal of the European Mathematical Society (JEMS)
9 Russian Mathematical Surveys
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Journal of the Mathematical Society of Japan
9 Journal für die Reine und Angewandte Mathematik
9 Journal of Lie Theory
8 Journal of Mathematical Analysis and Applications
8 Theoretical and Mathematical Physics
8 Mathematics of Computation
8 Semigroup Forum
8 Doklady Mathematics
8 Lobachevskii Journal of Mathematics
7 Bulletin of the London Mathematical Society
7 Nagoya Mathematical Journal
7 European Journal of Combinatorics
7 Journal of the American Mathematical Society
7 Forum Mathematicum
7 Journal of Algebraic Combinatorics
7 Annals of Mathematics. Second Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Groups, Geometry, and Dynamics
7 Science China. Mathematics
6 Physics Letters. B
6 Bulletin de la Société Mathématique de France
6 Journal of Combinatorial Theory. Series A
6 Journal of the London Mathematical Society. Second Series
6 Monatshefte für Mathematik
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Results in Mathematics
6 Acta Applicandae Mathematicae
6 Russian Mathematics
6 Bulletin des Sciences Mathématiques
6 Izvestiya: Mathematics
6 Journal of Group Theory
6 Journal of Dynamical and Control Systems
5 Journal d’Analyse Mathématique
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Algebra and Logic
5 Hiroshima Mathematical Journal
5 Journal of Number Theory
5 Michigan Mathematical Journal
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Advances in Applied Mathematics
5 Experimental Mathematics
5 Journal of Algebraic Geometry
5 St. Petersburg Mathematical Journal
5 Journal of Nonlinear Mathematical Physics
5 Sibirskie Èlektronnye Matematicheskie Izvestiya
5 Forum of Mathematics, Sigma
4 Linear and Multilinear Algebra
4 Rocky Mountain Journal of Mathematics
...and 228 more Serials
all top 5

Cited in 56 Fields

546 Nonassociative rings and algebras (17-XX)
499 Algebraic geometry (14-XX)
493 Group theory and generalizations (20-XX)
440 Topological groups, Lie groups (22-XX)
377 Differential geometry (53-XX)
206 Manifolds and cell complexes (57-XX)
189 Several complex variables and analytic spaces (32-XX)
177 Number theory (11-XX)
123 Geometry (51-XX)
118 Quantum theory (81-XX)
104 Convex and discrete geometry (52-XX)
100 Dynamical systems and ergodic theory (37-XX)
89 Associative rings and algebras (16-XX)
85 Linear and multilinear algebra; matrix theory (15-XX)
73 Global analysis, analysis on manifolds (58-XX)
66 Commutative algebra (13-XX)
65 Combinatorics (05-XX)
57 Abstract harmonic analysis (43-XX)
41 Functions of a complex variable (30-XX)
41 Functional analysis (46-XX)
35 Algebraic topology (55-XX)
32 Partial differential equations (35-XX)
31 Category theory; homological algebra (18-XX)
27 Relativity and gravitational theory (83-XX)
26 Ordinary differential equations (34-XX)
26 Operator theory (47-XX)
26 Probability theory and stochastic processes (60-XX)
22 Systems theory; control (93-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
20 Computer science (68-XX)
19 Operations research, mathematical programming (90-XX)
17 Mathematical logic and foundations (03-XX)
17 General topology (54-XX)
17 Mechanics of particles and systems (70-XX)
16 Numerical analysis (65-XX)
15 Statistics (62-XX)
12 Special functions (33-XX)
11 Field theory and polynomials (12-XX)
10 \(K\)-theory (19-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Statistical mechanics, structure of matter (82-XX)
9 Information and communication theory, circuits (94-XX)
8 General and overarching topics; collections (00-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Measure and integration (28-XX)
7 Integral transforms, operational calculus (44-XX)
6 Approximations and expansions (41-XX)
6 Mechanics of deformable solids (74-XX)
5 History and biography (01-XX)
4 Real functions (26-XX)
4 Fluid mechanics (76-XX)
3 Potential theory (31-XX)
3 Difference and functional equations (39-XX)
2 Integral equations (45-XX)
1 Sequences, series, summability (40-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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