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Vinberg, Èrnest Borisovich

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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
2,173 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, Alexei N.
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, 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
1 Panin, Ivan A.
1 Pankrat’ev, Evgeniĭ Vasil’evich
1 Panov, Aleksandr Nikolaevich
1 Piontkovskij, D. I.
1 Platonov, Vladimir Petrovich
1 Popov, Alexander V.
1 Prilipko, A. A.
1 Prilipko, G. A.
1 Razmyslov, Yuri P.
1 Rehmann, Ulf
1 Rybko, Aleksandr N.
1 Sartori, Giorgio
1 Shafarevich, Igor’ Rostislavovich
1 Shakhnenko, V. P.
1 Shchetinin, A. N.
1 Shlosman, Senya B.
1 Sirotin, Yu. I.
1 Suhov, Yurii Mikhailovich
1 Talamini, Vittorino
1 Valente, Giovanni
1 Vavilov, Nikolaĭ Aleksandrovich
1 Zaĭtsev, Mikhail Vladimirovich
1 Zel’manov, Efim Isaakovich
all top 5

Serials

11 Russian Mathematical Surveys
11 Functional Analysis and its Applications
9 Soviet Mathematics. Doklady
8 Transactions of the Moscow Mathematical Society
6 Journal of Lie Theory
6 Transformation Groups
6 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
5 Mathematics of the USSR. Izvestiya
5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
4 Matematicheskiĭ Sbornik. Novaya Seriya
4 Mathematics of the USSR, Sbornik
3 Advances in Mathematics
3 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Selecta Mathematica Sovietica
3 Moscow Mathematical Journal
3 Encyclopaedia of Mathematical Sciences
3 Translations. Series 2. American Mathematical Society
2 Journal of Algebra
2 Journal of Soviet Mathematics
2 Trudy Seminara po Vektornomu i Tenzornomu Analizu
2 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal
2 De Gruyter Expositions in Mathematics
2 Translations. Series 2. American Mathematical Society
1 Communications in Algebra
1 Doklady Akademii Nauk SSSR
1 Mathematical Notes
1 Moscow University Mathematics Bulletin
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Commentarii Mathematici Helvetici
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Trudy Moskovskogo Matematicheskogo Obshchestva
1 Soviet Physics. Crystallography
1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
1 Russian Academy of Sciences. Sbornik. Mathematics
1 Sbornik: Mathematics
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Advances in Soviet Mathematics
1 Basler Lehrbücher
1 Graduate Studies in Mathematics
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Japanese Journal of Mathematics. 3rd Series
1 Voprosy Teorii Grupp i Gomologicheskoĭ Algebry
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

140 Publications have been cited 2,396 times in 1,859 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.
279
1990
The theory of convex homogeneous cones. Zbl 0138.43301
Vinberg, E. B.
211
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.
150
1994
Complexity of action of reductive groups. Zbl 0601.14038
Vinberg, È. B.
68
1986
Invariant theory. Zbl 0789.14008
Popov, V. L.; Vinberg, Eh. B.
57
1989
Foundations of Lie theory and Lie transformation groups. Transl. from the Russian by A. Kozlowski. 2nd printing of the 1st ed. 1993. Zbl 0999.17500
49
1997
The Weyl group of a graded Lie algebra. Zbl 0371.20041
Vinberg, È. B.
43
1977
Seminar on Lie groups and algebraic groups. (Семинар по группам Ли и алгебраическим группам.) Zbl 0648.22009
Vinberg, È. B.; Onishchik, A. L.
42
1988
Invariant convex cones and orderings in Lie groups. Zbl 0452.22014
Vinberg, È. B.
42
1980
Hyperbolic reflection groups. Zbl 0579.51015
Vinberg, È. B.
42
1985
The Weyl group of a graded Lie algebra. Zbl 0363.20035
Vinberg, È. B.
42
1976
Structure of Lie groups and algebras. Zbl 0733.22003
Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L.
40
1990
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.
40
1995
Discrete linear groups generated by reflections. Zbl 0256.20067
Vinberg, E. B.
38
1972
On groups of unit elements of certain quadratic forms. Zbl 0252.20054
Vinberg, E. B.
36
1972
Discrete groups generated by reflections in Lobachevskii spaces. Zbl 0166.16303
Vinberg, È. B.
34
1967
Orbits of greatest dimension in semisimple linear Lie groups. Zbl 0176.30301
Andreev, E. M.; Vinberg, È. B.; Èlashvili, A. G.
33
1967
The two most algebraic K3 surfaces. Zbl 0537.14025
Vinberg, E. B.
33
1983
On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009
Vinberg, È. B.
33
1991
A course in algebra. Transl. from the Russian by Alexander Retakh. Zbl 1016.00003
Vinberg, E. B.
32
2003
On a class of quasihomogeneous affine varieties. Zbl 0255.14016
Vinberg, E. B.; Popov, V. L.
31
1973
Commutative homogeneous spaces and co-isotropic symplectic actions. Zbl 0996.53034
Vinberg, È. B.
29
2001
Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups. Zbl 0439.53055
Vinberg, E. B.; Kimel’fel’d, B. N.
29
1979
Homogeneous cones. Zbl 0143.05203
Vinberg, Eh. B.
28
1960
Quasi-homogeneous cones. Zbl 0163.16902
Vinberg, È. B.; Kac, V. G.
28
1967
On the classification of the nilpotent elements of graded Lie algebras. Zbl 0374.17001
Vinberg, E. B.
28
1975
On reductive algebraic semigroups. Zbl 0840.20041
Vinberg, E. B.
27
1995
Classification and canonical realization of complex bounded homogeneous domains. Zbl 0137.05603
Vinberg, È. B.; Piatetski-Shapiro, Ilya I.
26
1963
Rings of definition of dense subgroups of semisimple linear groups. Zbl 0252.20043
Vinberg, E. B.
26
1972
Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre. Zbl 0343.20023
Kac, Victor G.; Popov, Vladimir L.; Vinberg, Ernest B.
25
1976
Geometry of spaces of constant curvature. Zbl 0787.53001
Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S.
25
1988
Weakly symmetric spaces and spherical varieties. Zbl 0916.53024
Akhiezer, D. N.; Vinberg, E. B.
24
1999
On right-angled reflection groups in hyperbolic spaces. Zbl 1072.20046
Potyagailo, Leonid; Vinberg, Ernest
24
2005
Some open problems in invariant theory. Zbl 0783.14028
Popov, V. L.; Vinberg, E. B.
23
1992
Spinors of 13-dimensional space. Zbl 0429.20043
Gatti, V.; Viniberghi, E.
23
1978
Invariant theory. Zbl 0735.14010
Popov, V. L.; Vinberg, Eh. B.
23
1989
Discrete subgroups of Lie groups. Zbl 0656.22004
Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V.
22
1988
Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012
Vinberg, È. B.; Shvartsman, O. V.
22
1988
The classification of three-vectors of the nine-dimensional space. Zbl 0441.15010
Vinberg, È. B.; Èlashvili, A. G.
21
1978
On invariants of a set of matrices. Zbl 0884.14006
Vinberg, E. B.
20
1996
The Morozov-Borel theorem for real Lie groups. Zbl 0112.02505
Vinberg, È. B.
19
1961
Strong Tits alternative for subgroups of Coxeter groups. Zbl 0999.20029
Noskov, Guennadi A.; Vinberg, Èrnest B.
17
2002
On the groups \(O_{18,1}(\mathbb Z)\) and \(O_{19,1}(\mathbb Z)\). Zbl 0402.20034
Vinberg, È. B.; Kaplinskaya, I. M.
17
1978
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
17
1993
The structure of the group of automorphisms of a homogeneous convex cone. Zbl 0311.17008
Vinberg, E. B.
17
1967
Some linear groups virtually having a free quotient. Zbl 0958.22008
Margulis, G. A.; Vinberg, È. B.
16
2000
On the algebra of Siegel modular forms of genus 2. Zbl 1302.05005
Vinberg, E. B.
16
2013
A generalized Harish-Chandra isomorphism. Zbl 1231.17005
Khoroshkin, Sergey; Nazarov, Maxim; Vinberg, Ernest
16
2011
A classification of homogeneous nilpotent elements of a semi-simple graded Lie algebra. Zbl 0431.17006
Vinberg, Eh. B.
13
1979
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
13
2000
Some arithmetical discrete groups in Lobacevskii spaces. Zbl 0316.10013
Vinberg, E. B.
13
1975
Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010
Vinberg, Eh. B.
12
1987
Volumes of non-Euclidean polyhedra. Zbl 0799.01019
Vinberg, È. B.
11
1993
The structure of the group of automorphisms of a homogeneous convex cone. Zbl 0224.17010
Vinberg, È. B.
11
1965
Cyclic elements in semisimple Lie algebras. Zbl 1329.17007
Elashvili, A. G.; Kac, V. G.; Vinberg, E. B.
11
2013
Some free algebras of automorphic forms on symmetric domains of type IV. Zbl 1225.05015
Vinberg, E. B.
10
2010
On the theorem concerning the infinite-dimensionality of an associative algebra. Zbl 0171.29401
Vinberg, È. B.
10
1965
Absence of crystallographic reflection groups in Lobachevskiĭ spaces of large dimension. Zbl 0462.51013
Vinberg, È. B.
10
1981
On unimodular integral quadratic forms. Zbl 0252.10027
Vinberg, E. B.
10
1972
Commutative homogeneous spaces of Heisenberg type. Zbl 1068.22015
Vinberg, È. B.
9
2003
Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073
Vinberg, E. B.
9
2007
Kählerian manifolds admitting a transitive solvable automorphism group. Zbl 0172.37803
Vinberg, Eh. B.; Gindikin, S. G.
8
1969
Foundations of Lie theory. Zbl 0781.22003
Onishchik, A. L.; Vinberg, È. B.
8
1988
Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003
Vinberg, Ernest B.
7
1989
Real entire functions with prescribed critical values. Zbl 0741.30037
Vinberg, È. B.
7
1989
The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018
Vinberg, Ernest B.
7
1995
A criterion of smoothness at infinity for an arithmetic quotient of the future tube. Zbl 1371.32016
Shvartsman, O. V.; Vinberg, E. B.
7
2017
The non-existence of crystallographic groups of reflections in Lobachevsky spaces of large dimension. Zbl 0593.22007
Vinberg, È. B.
6
1984
Rationality of the field of invariants of a triangular group. Zbl 0493.14005
Vinberg, Eh. B.
6
1982
Homogeneous Kähler manifolds. Zbl 0183.35401
Gindikin, S. G.; Pyatetskij-Shapiro, I. I.; Vinberg, E. B.
6
1968
Discrete subgroups of Lie groups. Zbl 0931.22007
Vinberg, E. B.; Borbatsevich, V. V.; Shvartsman, O. V.
6
1988
Non-arithmetic hyperbolic reflection groups in higher dimensions. Zbl 1359.51004
Vinberg, E. B.
6
2015
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
Generating semisimple groups by tori. Zbl 1220.22005
Abels, Herbert; Vinberg, E. B.
5
2011
The dual horospherical Radon transform for polynomials. Zbl 1003.43008
Hilgert, J.; Pasquale, A.; Vinberg, E. B.
5
2002
The smallest field of definition of a subgroup of the group \(\text{PSL}_ 2\). Zbl 0831.20061
Vinberg, È. B.
5
1993
Classification of trivectors of a 9-dimensional space. Zbl 0648.15021
Vinberg, È. B.; Èlashvili, A. G.
5
1988
Discrete groups of motions of spaces of constant curvature. Zbl 0699.22017
Vinberg, Eh. B.; Shvartsman, O. V.
5
1988
Reflection subgroups in Bianchi groups. Zbl 0725.20037
Vinberg, È. B.
5
1990
On stability of actions of reductive algebraic groups. Zbl 1054.14064
Vinberg, E. B.
5
2000
Linear representations of groups. Transl. from the Russian by A. Iacob. Reprint of the 1989 original. Zbl 1206.20008
Vinberg, Ernest B.
5
2010
Construction of the exceptional simple Lie algebras. Zbl 1069.17003
Vinberg, E. B.
5
2005
On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006
Elashvili, A. G.; Kac, V. G.; Vinberg, E. B.
5
2009
Diskrete lineare Gruppen, die vermittels Spiegelungen erzeugt sind. Zbl 0247.20054
Vinberg, E. B.
5
1971
Complete families of commuting functions for coisotropic Hamiltonian actions. Zbl 1475.17039
Vinberg, Ernest B.; Yakimova, Oksana S.
5
2019
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
On invariant linear connections. Zbl 0113.37402
Vinberg, Eh. B.
4
1959
Kählersche Mannigfaltigkeiten, die eine transitive auflösbare Gruppe von Automorphismen zulassen. Zbl 0153.39903
Vinberg, Eh. B.; Gindikin, S. G.
4
1967
Automorphisms of homogeneous convex cones. Zbl 0196.30501
Vinberg, Eh. B.
4
1962
Rationality of the field of invariants of a triangular group. Zbl 0524.14014
Vinberg, Eh. B.
4
1982
The dual horospherical Radon transform as a limit of spherical Radon transforms. Zbl 1049.53053
Hilgert, J.; Pasquale, A.; Vinberg, E. B.
4
2003
Noncoherence of some lattices in \(\mathrm{Isom}(\mathbb H^n)\). Zbl 1139.22007
Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest
4
2008
On some number-theoretic conjectures of V. Arnold. Zbl 1168.05004
Vinberg, E. B.
4
2007
Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014
Vinberg, E. B.; Popov, V. L.
4
1972
Absence of crystallographic groups of reflections in Lobachevskij spaces of large dimension. Zbl 0468.51006
Vinberg, Eh. B.
3
1981
Groups defined by periodic paired relations. Zbl 0901.20017
Vinberg, È. B.
3
1997
The volume of polyhedra on a sphere and in Lobachevsky space. Zbl 0742.51019
Vinberg, È. B.
3
1991
Convex homogeneous domains. Zbl 0114.38402
Vinberg, Eh. B.
3
1961
Complete families of commuting functions for coisotropic Hamiltonian actions. Zbl 1475.17039
Vinberg, Ernest B.; Yakimova, Oksana S.
5
2019
On some free algebras of automorphic forms. Zbl 1427.32014
Vinberg, E. B.
2
2018
A criterion of smoothness at infinity for an arithmetic quotient of the future tube. Zbl 1371.32016
Shvartsman, O. V.; Vinberg, E. B.
7
2017
On a phenomenon discovered by Heinz Helling. Zbl 1387.30063
Rehmann, U.; Vinberg, E.
3
2017
Non-abelian gradings of Lie algebras. Zbl 1390.17020
Vinberg, Ernest B.
3
2017
Moduli algebras of some non-semiquasihomogeneous singularities. Zbl 1387.14047
Elashvili, A. G.; Jibladze, M. A.; Vinberg, E. B.
2
2017
In memoriam: Evgenii (Eugene) Borisovich Dynkin. Zbl 1344.01043
Vinberg, È. B.; Kuznetsov, S. E.
1
2016
Non-arithmetic hyperbolic reflection groups in higher dimensions. Zbl 1359.51004
Vinberg, E. B.
6
2015
Limits of integrable Hamiltonians on semisimple Lie algebras. Zbl 1354.17016
Vinberg, È. B.
3
2014
On the algebra of Siegel modular forms of genus 2. Zbl 1302.05005
Vinberg, E. B.
16
2013
Cyclic elements in semisimple Lie algebras. Zbl 1329.17007
Elashvili, A. G.; Kac, V. G.; Vinberg, E. B.
11
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.
3
2012
A generalized Harish-Chandra isomorphism. Zbl 1231.17005
Khoroshkin, Sergey; Nazarov, Maxim; Vinberg, Ernest
16
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.
10
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.
5
2009
Noncoherence of some lattices in \(\mathrm{Isom}(\mathbb H^n)\). Zbl 1139.22007
Kapovich, Michael; Potyagailo, Leonid; Vinberg, Ernest
4
2008
Classification of 2-reflective hyperbolic lattices of rank 4. Zbl 1207.11073
Vinberg, E. B.
9
2007
On some number-theoretic conjectures of V. Arnold. Zbl 1168.05004
Vinberg, E. B.
4
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
24
2005
Construction of the exceptional simple Lie algebras. Zbl 1069.17003
Vinberg, E. B.
5
2005
Short \(\mathrm{SO}_3\)-structures on simple Lie algebras and associated quasielliptic planes. Zbl 1081.17009
Vinberg, E. B.
3
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.
32
2003
Commutative homogeneous spaces of Heisenberg type. Zbl 1068.22015
Vinberg, È. B.
9
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.
17
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.
29
2001
Equivariant symplectic geometry of cotangent bundles. Zbl 1045.14020
Vinberg, E. B.
4
2001
Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516
Vinberg, È. B.; Golod, E. S.; Zel’manov, E. I.; Iskovskikh, V. A.; Latyshev, V. N.; Manin, Yu. I.; Mikhalev, A. V.; Parshin, A. N.; Shafarevich, I. R.; Shmel’kin, A. L.
1
2001
Possible ground states of D-wave condensates in isotropic space through geometric invariant theory. Zbl 1065.82003
Gufan, Yu. M.; Popov, Al. V.; Sartori, G.; Talamini, V.; Valente, G.; Vinberg, E. B.
1
2001
Some linear groups virtually having a free quotient. Zbl 0958.22008
Margulis, G. A.; Vinberg, È. B.
16
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.
24
1999
An infinitesimal characterization of the complexity of homogeneous spaces. Zbl 0940.14037
Panyushev, D. I.; Vinberg, E. B.
1
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
49
1997
Groups defined by periodic paired relations. Zbl 0901.20017
Vinberg, È. B.
3
1997
On invariants of a set of matrices. Zbl 0884.14006
Vinberg, E. B.
20
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.
40
1995
On reductive algebraic semigroups. Zbl 0840.20041
Vinberg, E. B.
27
1995
The asymptotic semigroup of a semisimple Lie group. Zbl 0854.22018
Vinberg, Ernest B.
7
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.
150
1994
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
17
1993
Volumes of non-Euclidean polyhedra. Zbl 0799.01019
Vinberg, È. B.
11
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.
23
1992
On certain commutative subalgebras of a universal enveloping algebra. Zbl 0714.17009
Vinberg, È. B.
33
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.
279
1990
Structure of Lie groups and algebras. Zbl 0733.22003
Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L.
40
1990
Reflection subgroups in Bianchi groups. Zbl 0725.20037
Vinberg, È. B.
5
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.
57
1989
Invariant theory. Zbl 0735.14010
Popov, V. L.; Vinberg, Eh. B.
23
1989
Linear representations of groups. Transl. from the Russian by A. Iacob. Zbl 0719.20003
Vinberg, Ernest B.
7
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.
42
1988
Geometry of spaces of constant curvature. Zbl 0787.53001
Alekseevskij, D. V.; Vinberg, E. B.; Solodovnikov, A. S.
25
1988
Discrete subgroups of Lie groups. Zbl 0656.22004
Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V.
22
1988
Discrete groups of motions of spaces of constant curvature. Zbl 0787.22012
Vinberg, È. B.; Shvartsman, O. V.
22
1988
Foundations of Lie theory. Zbl 0781.22003
Onishchik, A. L.; Vinberg, È. B.
8
1988
Discrete subgroups of Lie groups. Zbl 0931.22007
Vinberg, E. B.; Borbatsevich, V. V.; Shvartsman, O. V.
6
1988
Classification of trivectors of a 9-dimensional space. Zbl 0648.15021
Vinberg, È. B.; Èlashvili, A. G.
5
1988
Discrete groups of motions of spaces of constant curvature. Zbl 0699.22017
Vinberg, Eh. B.; Shvartsman, O. V.
5
1988
Fundamentals of the theory of Lie groups. Zbl 0656.22002
Vinberg, Eh. B.; Onishchik, A. L.
3
1988
Geometry of spaces of constant curvature. Zbl 0699.53001
Alekseevskij, D. V.; Vinberg, Eh. B.; Solodovnikov, A. S.
1
1988
Classification of homogeneous nilpotent elements of a semisimple graded Lie algebra. Zbl 0612.17010
Vinberg, Eh. B.
12
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.
68
1986
Hyperbolic reflection groups. Zbl 0579.51015
Vinberg, È. B.
42
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.
6
1984
Discrete reflection groups in Lobachevsky spaces. Zbl 0563.51011
Vinberg, È. B.
3
1984
The two most algebraic K3 surfaces. Zbl 0537.14025
Vinberg, E. B.
33
1983
A collection of problems on algebra. Vol. I: Foundations of algebra. Ed. by A. I. Kostrikin. (Сборник задач по алгебре. Вып. И: Основы алгебры.) Zbl 0616.00001
Artamonov, V. A.; Bakhturin, Yu. A.; Vinberg, È. B.
1
1983
Rationality of the field of invariants of a triangular group. Zbl 0493.14005
Vinberg, Eh. B.
6
1982
Rationality of the field of invariants of a triangular group. Zbl 0524.14014
Vinberg, Eh. B.
4
1982
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.
10
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.
42
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
The algebra of polynomials. Textbook. (Алгебра многочленов. Учебное пособие.) Zbl 0525.12017
Vinberg, È. B.
1
1980
Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups. Zbl 0439.53055
Vinberg, E. B.; Kimel’fel’d, B. N.
29
1979
...and 40 more Documents
all top 5

Cited by 1,877 Authors

26 Panyushev, Dmitri Ivanovich
21 Kac, Victor G.
20 Vinberg, Èrnest Borisovich
19 Alekseevskiĭ, Dmitriĭ Vladimirovich
14 Bai, Chengming
14 Yakimova, Oksana S.
13 Gorbatsevich, Vladimir Vital’evich
13 Nikonorov, Yurii Gennadyevich
13 Popov, Vladimir Leonidovich
12 Hilgert, Joachim
12 Ishi, Hideyuki
11 Kellerhals, Ruth
11 Losev, Ivan V.
11 Tumarkin, Pavel
10 Bocheński, Maciej Franciszek
10 Dorfmeister, Josef F.
10 Felikson, Anna Aleksandrovna
9 de Graaf, Willem Adriaan
9 Hofmann, Karl Heinrich
9 Tralle, Aleksy E.
8 Allcock, Daniel Jonathan
8 Avdeev, Roman S.
8 Ayala, Victor
8 Belolipetsky, Mikhail V.
8 Brion, Michel
8 Đoković, Dragomir Ž.
8 Petukhov, Alexey V.
8 Röhrle, Gerhard E.
7 Arzhantsev, Ivan Vladimirovich
7 Berestovskiĭ, Valeriĭ Nikolaevich
7 Choi, Suhyoung
7 Elashvili, Alexander Grigorievich
7 Elduque, Alberto
7 Futorny, Vyacheslav M.
7 Guralnick, Robert Michael
7 Isaev, Alexander
7 Perelomov, Askold M.
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 Draper, Cristina
6 Jibladze, Mamuka A.
6 Kolpakov, Alexander A.
6 Long, Darren D.
6 Shima, Hirohiko
6 Silva, Adriano Da
5 Berceanu, Stefan
5 Bibikov, Pavel Vitalievich
5 Borovoi, Mikhail V.
5 Caprace, Pierre-Emmanuel
5 Chen, Liangyun
5 Garibaldi, Skip
5 Goldman, William M.
5 Gorodski, Claudio
5 Joseph, Anthony
5 Knop, Friedrich
5 Krasnov, Vladimir Aleksandrovich
5 Kruglikov, Boris S.
5 Lê Hông Vân
5 Leites, Dimitry A.
5 Marquis, Ludovic
5 Miebach, Christian
5 Nakashima, Hideto
5 Nikulin, Vyacheslav Valentinovich
5 Ooms, Alfons I.
5 Ratcliffe, John G.
5 Razumov, Alexander V.
5 Saloff-Coste, Laurent
5 Sikora, Adam S.
5 Vesnin, Andrei Yu.
4 Abels, Herbert
4 Akbarov, Sergei S.
4 Akhiezer, Dmitriĭ Naumovich
4 Benoist, Yves
4 Biggs, Rory
4 Bolsinov, Alexey V.
4 Borcherds, Richard Ewen
4 Cooper, Daryl
4 Cortés, Vicente
4 Cupit-Foutou, Stéphanie
4 De Sole, Alberto
4 Dolgachev, Igor’ Vladimirovich
4 Galaev, Anton S.
4 Geatti, Laura
4 Goodwin, Simon M.
4 Gross, Benedict Hyman
4 Herbig, Hans-Christian
4 Jacquemet, Matthieu
4 Kai, Chifune
4 Kharlamov, Viatcheslav M.
4 Khoroshkin, Sergey M.
4 Kondō, Shigeyuki
4 Kraft, Hanspeter
4 Lawton, Sean
4 Levasseur, Thierry
4 Malmendier, Andreas
4 Manivel, Laurent
...and 1,777 more Authors
all top 5

Cited in 302 Serials

164 Journal of Algebra
60 Advances in Mathematics
51 Geometriae Dedicata
47 Annales de l’Institut Fourier
45 Journal of Mathematical Sciences (New York)
39 Linear Algebra and its Applications
38 Transactions of the American Mathematical Society
36 Mathematische Zeitschrift
34 Transformation Groups
33 Mathematical Notes
33 Journal of Geometry and Physics
32 Duke Mathematical Journal
32 Functional Analysis and its Applications
32 Inventiones Mathematicae
31 Mathematische Annalen
28 Differential Geometry and its Applications
24 Communications in Algebra
23 Tohoku Mathematical Journal. Second Series
22 Journal of Pure and Applied Algebra
21 Communications in Mathematical Physics
21 Proceedings of the American Mathematical Society
20 Compositio Mathematica
20 Annals of Global Analysis and Geometry
19 Israel Journal of Mathematics
19 Journal of Mathematical Physics
19 Transactions of the Moscow Mathematical Society
18 Manuscripta Mathematica
17 Journal of Functional Analysis
15 Proceedings of the Steklov Institute of Mathematics
14 Proceedings of the Japan Academy. Series A
14 Topology and its Applications
14 Indagationes Mathematicae. New Series
14 Geometry & Topology
13 Siberian Mathematical Journal
13 Representation Theory
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 The Journal of Geometric Analysis
12 Journal of High Energy Physics
12 Algebraic & Geometric Topology
11 Selecta Mathematica. New Series
10 Letters in Mathematical Physics
10 Journal of Soviet Mathematics
10 Journal of Symbolic Computation
10 International Journal of Mathematics
10 Bulletin of the American Mathematical Society. New Series
9 Nuclear Physics. B
9 Algebras and Representation Theory
9 Journal of the European Mathematical Society (JEMS)
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Journal of the Mathematical Society of Japan
8 Journal für die Reine und Angewandte Mathematik
8 Semigroup Forum
8 Doklady Mathematics
7 Journal of the American Mathematical Society
7 Forum Mathematicum
7 Lobachevskii Journal of Mathematics
7 Science China. Mathematics
6 Journal of Mathematical Analysis and Applications
6 Theoretical and Mathematical Physics
6 Mathematics of Computation
6 Bulletin de la Société Mathématique de France
6 Journal of Combinatorial Theory. Series A
6 Monatshefte für Mathematik
6 Nagoya Mathematical Journal
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Results in Mathematics
6 European Journal of Combinatorics
6 Acta Applicandae Mathematicae
6 Geometric and Functional Analysis. GAFA
6 Journal of Algebraic Combinatorics
6 Annals of Mathematics. Second Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Journal d’Analyse Mathématique
5 Algebra and Logic
5 Hiroshima Mathematical Journal
5 Russian Mathematics
5 St. Petersburg Mathematical Journal
5 Bulletin des Sciences Mathématiques
5 Izvestiya: Mathematics
5 Journal of Group Theory
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 Physics Letters. B
4 Rocky Mountain Journal of Mathematics
4 Russian Mathematical Surveys
4 Reviews in Mathematical Physics
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 Journal of Algebraic Geometry
...and 202 more Serials
all top 5

Cited in 56 Fields

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

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