×

Popov, Vladimir Leonidovich

Author ID: popov.vladimir-leonidovich Recent zbMATH articles by "Popov, Vladimir Leonidovich"
Published as: Popov, V. L.; Popov, Vladimir L.; Popov, Vladimir; Popov, V.
Homepage: https://www.hse.ru/en/org/persons/47634458
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef
all top 5

Co-Authors

109 single-authored
7 Vinberg, Èrnest Borisovich
7 Zarkhin, Yuriĭ Gennad’evich
4 Gorchinskiĭ, Sergeĭ Olegovich
4 Orlov, Dmitri O.
4 Parshin, Alekseĭ Nikolaevich
3 Kac, Victor
3 Osipov, Denis Vasil’evich
3 Reichstein, Zinovy B.
3 Zheglov, Alexander B.
2 Anosov, Dmitriĭ Viktorovich
2 Bessonov, Nikolai
2 Bocharov, Gennady A.
2 Bogomolov, Fedor Alekseivich
2 Gamkrelidze, Revaz Valerianovich
2 Kraft, Hanspeter
2 Kulikov, Viktor Stepanovich
2 Lemire, Nicole Marie Anne
2 Losik, Mark V.
2 Michor, Peter Wolfram
2 Nesterenko, Yuriĭ Valentinovich
2 Ovchinnikov, Alexey Vital’evich
2 Panin, Ivan A.
2 Platonov, Vladimir Petrovich
2 Prokhorov, Yuriĭ Gennad’evich
2 Sakharova, V. P.
2 Sergeev, Armen Glebovich
2 Treshchev, Dmitriĭ Valer’evich
2 Volpert, Vitaly A.
2 Vostokov, Sergeĭ Vladimirovich
1 Adyan, Sergeĭ Ivanovich
1 Alekseevskiĭ, Dmitriĭ Vladimirovich
1 Andreev, E. M.
1 Borysiuk, V. N.
1 Bugaenko, V. O.
1 Bukhshtaber, Viktor Matveevich
1 Bustamante, Carlos Andres
1 Campo, Nobert A.
1 Cheltsov, Ivan Anatol’evich
1 Chirka, Evgeniĭ Mikhaĭlovich
1 Colliot-Thélène, Jean-Louis
1 Derksen, Harm
1 Florez, Whady Felipe
1 Garcia-Tamayo, E.
1 Gaviria-Cardona, J. P.
1 Gordeev, Nikolai L.
1 Katsylo, Pavel I.
1 Kemper, Gregor
1 Kislyakov, Sergeĭ Vital’evich
1 Konyagin, Sergeĭ Vladimirovich
1 Kozlov, Valeriĭ Vasil’evich
1 Kunyavskiĭ, Boris Èmmanuilovich
1 Leon, Cristina
1 Lyashenko, I. A.
1 Martínez-Tejada, H. V.
1 Matiyasevich, Yuriĭ Vladimirovich
1 Meyerhans, Andreas
1 Nikulin, Vyacheslav Valentinovich
1 Novikov, Sergeĭ Petrovich
1 Ol’shanskiĭ, Grigoriĭ Iosifovich
1 Panov, Aleksandr Nikolaevich
1 Panyushev, Dmitri Ivanovich
1 Przhiyalkovskiĭ, Viktor Vladimirovich
1 Reid, Miles
1 Röhrle, Gerhard E.
1 Shafarevich, Igor’ Rostislavovich
1 Shvartsman, O. V.
1 Smirnov, Aleksandr Leonidovich
1 Springer, Tonny Albert
1 Tevelev, Evgueni A.
1 Tsikh, Avgust Karlovich
1 Vavilov, Nikolaĭ Aleksandrovich
1 Vershik, Anatoliĭ Moiseevich
1 Zel’manov, Efim Isaakovich
all top 5

Serials

10 Mathematics of the USSR. Izvestiya
8 Russian Mathematical Surveys
8 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
7 Proceedings of the Steklov Institute of Mathematics
6 Mathematical Notes
6 Functional Analysis and its Applications
6 Doklady Mathematics
5 Transformation Groups
4 Journal of Algebra
4 Izvestiya: Mathematics
2 Trudy Moskovskogo Matematicheskogo Obshchestva
2 Mathematics of the USSR, Sbornik
2 Encyclopaedia of Mathematical Sciences
1 Matematicheskie Zametki
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Indiana University Mathematics Journal
1 Journal für die Reine und Angewandte Mathematik
1 Matematicheskiĭ Sbornik. Novaya Seriya
1 Meccanica
1 Pacific Journal of Mathematics
1 Semigroup Forum
1 Soviet Mathematics. Doklady
1 Transactions of the Moscow Mathematical Society
1 Journal of the American Mathematical Society
1 Journal of the Ramanujan Mathematical Society
1 SIAM Journal on Applied Mathematics
1 Indagationes Mathematicae. New Series
1 Journal of Mathematical Sciences (New York)
1 Engineering Analysis with Boundary Elements
1 Documenta Mathematica
1 Journal of Mathematical Chemistry
1 European Mathematical Society Newsletter
1 Voprosy Algebry
1 Annals of Mathematics. Second Series
1 Lobachevskii Journal of Mathematics
1 Quantitative Finance
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
1 Progress in Mathematics
1 Translations of Mathematical Monographs
1 Translations. Series 2. American Mathematical Society
1 Communications of the Mathematical Institute, Rijksuniversiteit Utrecht
1 Bulletin of Mathematical Sciences
1 Mathematics and Mechanics of Complex Systems
1 European Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 809 times in 606 Documents Cited by Year
Invariant theory. Zbl 0789.14008
Popov, V. L.; Vinberg, Eh. B.
66
1989
On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties. Zbl 1242.14044
Popov, Vladimir L.
45
2011
Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov. 2nd enlarged edition. Zbl 1332.13001
Derksen, Harm; Kemper, Gregor
43
2015
On a class of quasihomogeneous affine varieties. Zbl 0255.14016
Vinberg, E. B.; Popov, V. L.
34
1973
Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre. Zbl 0343.20023
Kac, Victor G.; Popov, Vladimir L.; Vinberg, Ernest B.
28
1976
Jordan groups and automorphism groups of algebraic varieties. Zbl 1325.14024
Popov, Vladimir L.
27
2014
Contraction of the actions of reductive algebraic groups. Zbl 0627.14033
Popov, V. L.
27
1987
Algebraic geometry. (Алгебраическая геометрия.) Zbl 1126.14001
27
2006
Some open problems in invariant theory. Zbl 0783.14028
Popov, V. L.; Vinberg, E. B.
25
1992
Invariant theory. Zbl 0735.14010
Popov, V. L.; Vinberg, Eh. B.
25
1989
Picard groups of homogeneous spaces of linear algebraic groups and one- dimensional homogeneous vector bundles. Zbl 0301.14018
Popov, V. L.
22
1975
Groups, generators, syzygies, and orbits in invariant theory. Transl. from the Russian by A. Martsinkovsky. Zbl 0754.13005
Popov, V. L.
20
1992
Discrete complex reflection groups. Zbl 0481.20030
Popov, V. L.
20
1982
Stability criteria for the action of a semisimple group on a factorial manifold. Zbl 0261.14011
Popov, V. L.
18
1971
Cayley groups. Zbl 1103.14026
Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy
18
2006
Constructive invariant theory. Zbl 0491.14004
Popov, V. L.
18
1981
Contraction of the actions of reductive algebraic groups. Zbl 0613.14034
Popov, V. L.
17
1986
Classification of spinors of dimension fourteen. Zbl 0443.20038
Popov, V. L.
16
1980
Semisimple group actions on the three dimensional affine space are linear. Zbl 0645.14020
Kraft, Hanspeter; Popov, Vladimir L.
16
1985
The constructive theory of invariants. Zbl 0501.14006
Popov, V. L.
13
1982
Picard-Gruppen homogener Räume linearer algebraischer Gruppen und eindimensionale homogene Vektorbündel. Zbl 0298.14023
Popov, V. L.
13
1974
Representations with a free module of covariants. Zbl 0365.20053
Popov, V. L.
12
1977
On infinite dimensional algebraic transformation groups. Zbl 1309.14036
Popov, Vladimir L.
12
2014
Irregular and singular loci of commuting varieties. Zbl 1189.17017
Popov, Vladimir L.
11
2008
Generically multiple transitive algebraic group actions. Zbl 1135.14038
Popov, Vladimir L.
11
2007
Finite subgroups of diffeomorphism groups. Zbl 1337.57066
Popov, Vladimir L.
11
2015
On the number of orbits of a parabolic subgroup on its unipotent radical. Zbl 0887.14020
Popov, Vladimir; Röhrle, Gerhard
10
1997
Stationary subgroups of points of general position in the representation space of a semisimple Lie group. Zbl 0246.22017
Andreev, E. M.; Popov, V. L.
10
1972
Hilbert’s theorem on invariants. Zbl 0446.14004
Popov, V. L.
10
1979
Infinite dimensional Lie algebras. Transl. from the 1990 English edition by A. I. Molev. Transl. ed. and with a preface by V. L. Popov. (Beskonechnomernye algebry Li.) Zbl 0925.17021
Kac, Victor G.
9
1993
Self-dual projective algebraic varieties associated with symmetric spaces. Zbl 1093.14072
Popov, Vladimir L.; Tevelev, Evgueni A.
9
2004
A finiteness theorem for parabolic subgroups of fixed modality. Zbl 0905.20029
Popov, Vladimir L.
8
1997
On the stability of the action of an algebraic group on an algebraic variety. Zbl 0253.14008
Popov, V. L.
8
1973
Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? Zbl 1218.14010
Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris; Popov, Vladimir L.; Reichstein, Zinovy
8
2011
On the stability of the action of an algebraic group on an algebraic variety. Zbl 0232.14018
Popov, V. L.
8
1972
Some subgroups of the Cremona groups. Zbl 1301.14006
Popov, Vladimir L.
8
2013
Tori in the Cremona groups. Zbl 1278.14065
Popov, V. L.
8
2013
Automorphism groups of finite dimensional simple algebras. Zbl 1073.20039
Gordeev, Nikolai L.; Popov, Vladimir L.
8
2003
Borel subgroups of Cremona groups. Zbl 1427.14035
Popov, V. L.
7
2017
Rationality and the FML invariant. Zbl 1300.14047
Popov, Vladimir L.
7
2013
One conjecture of Steinberg. Zbl 0368.14017
Popov, V. L.
7
1977
Quasihomogene affine algebraische Mannigfaltigkeiten der Gruppe SL(2). Zbl 0281.14022
Popov, V. L.
7
1973
An analogue of M. Artin’s conjecture on invariants for nonassociative algebras. Zbl 0841.15029
Popov, Vladimir L.
6
1995
On polarizations in invariant theory. Zbl 1099.13012
Losik, Mark; Michor, Peter W.; Popov, Vladimir L.
6
2006
The cone of Hilbert nullforms. Zbl 1125.14301
Popov, V. L.
6
2003
Homological dimension of algebras of invariants. Zbl 0525.14007
Popov, V. L.
6
1983
Cross-sections, quotients, and representation rings of semisimple algebraic groups. Zbl 1238.20063
Popov, Vladimir L.
6
2011
Three plots about the Cremona groups. Zbl 1423.14098
Popov, V. L.
6
2019
The Jordan property for Lie groups and automorphism groups of complex spaces. Zbl 1401.14184
Popov, V. L.
6
2018
Birational splitting and algebraic group actions. Zbl 1332.14061
Popov, Vladimir L.
6
2016
Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014
Vinberg, E. B.; Popov, V. L.
5
1972
Classification of spinors of dimension fourteen. Zbl 0451.15017
Popov, V. L.
5
1978
Self-dual algebraic varieties and nilpotent orbits. Zbl 1060.14066
Popov, Vladimir L.
5
2002
On the “Lemma of Seshadri”. Zbl 0783.14027
Popov, V. L.
4
1992
Two orbits: when is one in the closure of the other? Zbl 1312.14110
Popov, V. L.
4
2009
Geometric methods in the theory of invariants. (Geometricheskie metody v teorii invariantov). Transl. from the 2nd German ed. by D. I. Panyushev. Transl. ed. and with a preface by V. L. Popov. Zbl 0669.14004
Kraft, Hanspeter
4
1987
Quasihomogeneous affine algebraic varieties of the group SL(2). Zbl 0286.14013
Popov, V. L.
4
1974
Closed orbits of Borel subgroups. Zbl 0713.20036
Popov, V. L.
3
1989
Constructive invariant theory. Zbl 0478.14006
Popov, V. L.
3
1981
Eine Klassifikation der Spinoren der Dimension 14. Zbl 0367.22013
Popov, V. L.
3
1977
A finiteness theorem for representations with a free algebra of invariants. Zbl 0547.20034
Popov, V. L.
3
1983
Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259
Bessonov, Nikolai; Bocharov, Gennady A.; Leon, Cristina; Popov, Vladimir; Volpert, Vitaly
3
2020
Algebraic geometry. Transl. from the Russian. Zbl 1027.00508
3
2003
Tensor product decompositions and open orbits in multiple flag varieties. Zbl 1158.20021
Popov, Vladimir L.
3
2007
Algebraic curves with an infinite automorphism group. Zbl 0406.14018
Popov, V. L.
3
1978
Classification of spinors of dimension fourteen. Zbl 0327.15028
Popov, V. L.
3
1977
The classification of representations which are exceptional in the sense of Igusa. Zbl 0327.20015
Popov, V. L.
3
1976
Finite linear groups, lattices, and products of elliptic curves. Zbl 1111.14041
Popov, Vladimir L.; Zarhin, Yuri G.
2
2006
Classification of affine algebraic surfaces quasihomogeneous with respect to an algebraic group. Zbl 0258.14017
Popov, V. L.
2
1973
Modern developments in invariant theory. Zbl 0679.14024
Popov, V. L.
2
1987
Algebraic groups whose orbit closures contain only finitely many orbits. Zbl 1467.20037
Popov, Vladimir L.
2
2021
Number of components of the nullcone. Zbl 1333.14042
Popov, V. L.
2
2015
Projective duality and principal nilpotent elements of symmetric pairs. Zbl 1093.14071
Popov, Vladimir L.
2
2005
Moment polytopes of nilpotent orbit closures; dimension and isomorphism of simple modules; and variations on the theme of J. Chipalkatti. Zbl 1142.20311
Popov, V. L.
2
2004
Invariant theory. Zbl 0736.15019
Popov, V. L.
2
1991
Existence and dynamics of strains in a nonlocal reaction-diffusion model of viral evolution. Zbl 1458.35417
Bessonov, Nikolai; Bocharov, Gennady; Meyerhans, Andreas; Popov, Vladimir; Volpert, Vitaly
2
2021
Variations on the theme of Zariski’s cancellation problem. Zbl 1455.14121
Popov, Vladimir L.
2
2020
On closedness of stationary subgroup of affine transformations group. Zbl 1376.53034
Popov, V.
2
2017
A local collocation method with radial basis functions for an electrospinning problem. Zbl 1521.65127
Florez, W. F.; Popov, V.; Gaviria-Cardona, J. P.; Bustamante, C. A.; Martínez-Tejada, H. V.; Garcia-Tamayo, E.
2
2022
Syzygies in the theory of invariants. Zbl 0573.14003
Popov, V. L.
1
1984
Automorphism groups of polynomial algebras. Zbl 0718.13005
Popov, V. L.
1
1989
On actions of \(G_ a\) on \({\mathbb{A}}^ p\). Zbl 0734.14015
Popov, V. L.
1
1988
Kriterium für die Stabilität der Operation einer halbeinfachen Gruppe auf der Faktormannigfaligkeit. Zbl 0208.38002
Popov, V. L.
1
1970
The word problem for relatively free semigroups. Zbl 1095.20033
Popov, V.
1
2006
Bass’ triangulability problem. Zbl 1396.14015
Popov, Vladimir L.
1
2017
Root systems in number fields. Zbl 1478.11129
Popov, Vladimir L.; Zarhin, Yuri G.
1
2021
On actions of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ n\). Zbl 0685.14027
Popov, V. L.
1
1987
Modality of representations, and packets for \(\theta\)-groups. Zbl 1427.14100
Popov, Vladimir L.
1
2018
Orbit closures of the Witt group actions. Zbl 1442.14148
Popov, Vladimir L.
1
2019
On polynomial automorphisms of affine spaces. Zbl 0994.14006
Popov, V. L.
1
2001
On the closedness of some orbits of algebraic groups. Zbl 0933.14029
Popov, V. L.
1
1997
Invariant tensor fields and orbit varieties for finite algebraic transformation groups. Zbl 1063.14055
Losik, Mark; Michor, Peter W.; Popov, Vladimir L.
1
2003
On the Cayley degree of an algebraic group. Zbl 1200.14091
Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy
1
2007
Klassifikation der dreidimensionalen affinen algebraischen Mannigfaltigkeiten, die quasihomogen bezüglich eineralgebraischen Gruppe sind. Zbl 0308.14009
Popov, V. L.
1
1975
Structure of the closure of orbits in spaces of finite-dimensional linear SL(2) representations. Zbl 0313.20024
Popov, V. L.
1
1975
Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group. Zbl 0331.14026
Popov, V. L.
1
1976
Über eine Hypothese von Steinberg. Zbl 0346.14017
Popov, V. L.
1
1977
Embeddings of automorphism groups of free groups into automorphism groups of affine algebraic varieties. Zbl 1516.20063
Popov, V. L.
1
2023
Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Zbl 1412.22001
1
2018
Around the Abhyankar-Sathaye conjecture. Zbl 1338.14059
Popov, Vladimir L.
1
2015
Embeddings of automorphism groups of free groups into automorphism groups of affine algebraic varieties. Zbl 1516.20063
Popov, V. L.
1
2023
A local collocation method with radial basis functions for an electrospinning problem. Zbl 1521.65127
Florez, W. F.; Popov, V.; Gaviria-Cardona, J. P.; Bustamante, C. A.; Martínez-Tejada, H. V.; Garcia-Tamayo, E.
2
2022
Algebraic groups whose orbit closures contain only finitely many orbits. Zbl 1467.20037
Popov, Vladimir L.
2
2021
Existence and dynamics of strains in a nonlocal reaction-diffusion model of viral evolution. Zbl 1458.35417
Bessonov, Nikolai; Bocharov, Gennady; Meyerhans, Andreas; Popov, Vladimir; Volpert, Vitaly
2
2021
Root systems in number fields. Zbl 1478.11129
Popov, Vladimir L.; Zarhin, Yuri G.
1
2021
Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259
Bessonov, Nikolai; Bocharov, Gennady A.; Leon, Cristina; Popov, Vladimir; Volpert, Vitaly
3
2020
Variations on the theme of Zariski’s cancellation problem. Zbl 1455.14121
Popov, Vladimir L.
2
2020
Three plots about the Cremona groups. Zbl 1423.14098
Popov, V. L.
6
2019
Orbit closures of the Witt group actions. Zbl 1442.14148
Popov, Vladimir L.
1
2019
The Jordan property for Lie groups and automorphism groups of complex spaces. Zbl 1401.14184
Popov, V. L.
6
2018
Modality of representations, and packets for \(\theta\)-groups. Zbl 1427.14100
Popov, Vladimir L.
1
2018
Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Zbl 1412.22001
1
2018
Borel subgroups of Cremona groups. Zbl 1427.14035
Popov, V. L.
7
2017
On closedness of stationary subgroup of affine transformations group. Zbl 1376.53034
Popov, V.
2
2017
Bass’ triangulability problem. Zbl 1396.14015
Popov, Vladimir L.
1
2017
Birational splitting and algebraic group actions. Zbl 1332.14061
Popov, Vladimir L.
6
2016
Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov. 2nd enlarged edition. Zbl 1332.13001
Derksen, Harm; Kemper, Gregor
43
2015
Finite subgroups of diffeomorphism groups. Zbl 1337.57066
Popov, Vladimir L.
11
2015
Number of components of the nullcone. Zbl 1333.14042
Popov, V. L.
2
2015
Around the Abhyankar-Sathaye conjecture. Zbl 1338.14059
Popov, Vladimir L.
1
2015
Jordan groups and automorphism groups of algebraic varieties. Zbl 1325.14024
Popov, Vladimir L.
27
2014
On infinite dimensional algebraic transformation groups. Zbl 1309.14036
Popov, Vladimir L.
12
2014
Some subgroups of the Cremona groups. Zbl 1301.14006
Popov, Vladimir L.
8
2013
Tori in the Cremona groups. Zbl 1278.14065
Popov, V. L.
8
2013
Rationality and the FML invariant. Zbl 1300.14047
Popov, Vladimir L.
7
2013
On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties. Zbl 1242.14044
Popov, Vladimir L.
45
2011
Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? Zbl 1218.14010
Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris; Popov, Vladimir L.; Reichstein, Zinovy
8
2011
Cross-sections, quotients, and representation rings of semisimple algebraic groups. Zbl 1238.20063
Popov, Vladimir L.
6
2011
Two orbits: when is one in the closure of the other? Zbl 1312.14110
Popov, V. L.
4
2009
Irregular and singular loci of commuting varieties. Zbl 1189.17017
Popov, Vladimir L.
11
2008
Generically multiple transitive algebraic group actions. Zbl 1135.14038
Popov, Vladimir L.
11
2007
Tensor product decompositions and open orbits in multiple flag varieties. Zbl 1158.20021
Popov, Vladimir L.
3
2007
On the Cayley degree of an algebraic group. Zbl 1200.14091
Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy
1
2007
Algebraic geometry. (Алгебраическая геометрия.) Zbl 1126.14001
27
2006
Cayley groups. Zbl 1103.14026
Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy
18
2006
On polarizations in invariant theory. Zbl 1099.13012
Losik, Mark; Michor, Peter W.; Popov, Vladimir L.
6
2006
Finite linear groups, lattices, and products of elliptic curves. Zbl 1111.14041
Popov, Vladimir L.; Zarhin, Yuri G.
2
2006
The word problem for relatively free semigroups. Zbl 1095.20033
Popov, V.
1
2006
Projective duality and principal nilpotent elements of symmetric pairs. Zbl 1093.14071
Popov, Vladimir L.
2
2005
Self-dual projective algebraic varieties associated with symmetric spaces. Zbl 1093.14072
Popov, Vladimir L.; Tevelev, Evgueni A.
9
2004
Moment polytopes of nilpotent orbit closures; dimension and isomorphism of simple modules; and variations on the theme of J. Chipalkatti. Zbl 1142.20311
Popov, V. L.
2
2004
Automorphism groups of finite dimensional simple algebras. Zbl 1073.20039
Gordeev, Nikolai L.; Popov, Vladimir L.
8
2003
The cone of Hilbert nullforms. Zbl 1125.14301
Popov, V. L.
6
2003
Algebraic geometry. Transl. from the Russian. Zbl 1027.00508
3
2003
Invariant tensor fields and orbit varieties for finite algebraic transformation groups. Zbl 1063.14055
Losik, Mark; Michor, Peter W.; Popov, Vladimir L.
1
2003
Self-dual algebraic varieties and nilpotent orbits. Zbl 1060.14066
Popov, Vladimir L.
5
2002
On polynomial automorphisms of affine spaces. Zbl 0994.14006
Popov, V. L.
1
2001
On the number of orbits of a parabolic subgroup on its unipotent radical. Zbl 0887.14020
Popov, Vladimir; Röhrle, Gerhard
10
1997
A finiteness theorem for parabolic subgroups of fixed modality. Zbl 0905.20029
Popov, Vladimir L.
8
1997
On the closedness of some orbits of algebraic groups. Zbl 0933.14029
Popov, V. L.
1
1997
An analogue of M. Artin’s conjecture on invariants for nonassociative algebras. Zbl 0841.15029
Popov, Vladimir L.
6
1995
Infinite dimensional Lie algebras. Transl. from the 1990 English edition by A. I. Molev. Transl. ed. and with a preface by V. L. Popov. (Beskonechnomernye algebry Li.) Zbl 0925.17021
Kac, Victor G.
9
1993
Some open problems in invariant theory. Zbl 0783.14028
Popov, V. L.; Vinberg, E. B.
25
1992
Groups, generators, syzygies, and orbits in invariant theory. Transl. from the Russian by A. Martsinkovsky. Zbl 0754.13005
Popov, V. L.
20
1992
On the “Lemma of Seshadri”. Zbl 0783.14027
Popov, V. L.
4
1992
Invariant theory. Zbl 0736.15019
Popov, V. L.
2
1991
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
Closed orbits of Borel subgroups. Zbl 0713.20036
Popov, V. L.
3
1989
Automorphism groups of polynomial algebras. Zbl 0718.13005
Popov, V. L.
1
1989
On actions of \(G_ a\) on \({\mathbb{A}}^ p\). Zbl 0734.14015
Popov, V. L.
1
1988
Contraction of the actions of reductive algebraic groups. Zbl 0627.14033
Popov, V. L.
27
1987
Geometric methods in the theory of invariants. (Geometricheskie metody v teorii invariantov). Transl. from the 2nd German ed. by D. I. Panyushev. Transl. ed. and with a preface by V. L. Popov. Zbl 0669.14004
Kraft, Hanspeter
4
1987
Modern developments in invariant theory. Zbl 0679.14024
Popov, V. L.
2
1987
On actions of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ n\). Zbl 0685.14027
Popov, V. L.
1
1987
Contraction of the actions of reductive algebraic groups. Zbl 0613.14034
Popov, V. L.
17
1986
Semisimple group actions on the three dimensional affine space are linear. Zbl 0645.14020
Kraft, Hanspeter; Popov, Vladimir L.
16
1985
Syzygies in the theory of invariants. Zbl 0573.14003
Popov, V. L.
1
1984
Homological dimension of algebras of invariants. Zbl 0525.14007
Popov, V. L.
6
1983
A finiteness theorem for representations with a free algebra of invariants. Zbl 0547.20034
Popov, V. L.
3
1983
Discrete complex reflection groups. Zbl 0481.20030
Popov, V. L.
20
1982
The constructive theory of invariants. Zbl 0501.14006
Popov, V. L.
13
1982
Constructive invariant theory. Zbl 0491.14004
Popov, V. L.
18
1981
Constructive invariant theory. Zbl 0478.14006
Popov, V. L.
3
1981
Classification of spinors of dimension fourteen. Zbl 0443.20038
Popov, V. L.
16
1980
Hilbert’s theorem on invariants. Zbl 0446.14004
Popov, V. L.
10
1979
Classification of spinors of dimension fourteen. Zbl 0451.15017
Popov, V. L.
5
1978
Algebraic curves with an infinite automorphism group. Zbl 0406.14018
Popov, V. L.
3
1978
Representations with a free module of covariants. Zbl 0365.20053
Popov, V. L.
12
1977
One conjecture of Steinberg. Zbl 0368.14017
Popov, V. L.
7
1977
Eine Klassifikation der Spinoren der Dimension 14. Zbl 0367.22013
Popov, V. L.
3
1977
Classification of spinors of dimension fourteen. Zbl 0327.15028
Popov, V. L.
3
1977
Über eine Hypothese von Steinberg. Zbl 0346.14017
Popov, V. L.
1
1977
Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre. Zbl 0343.20023
Kac, Victor G.; Popov, Vladimir L.; Vinberg, Ernest B.
28
1976
The classification of representations which are exceptional in the sense of Igusa. Zbl 0327.20015
Popov, V. L.
3
1976
Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group. Zbl 0331.14026
Popov, V. L.
1
1976
Picard groups of homogeneous spaces of linear algebraic groups and one- dimensional homogeneous vector bundles. Zbl 0301.14018
Popov, V. L.
22
1975
Klassifikation der dreidimensionalen affinen algebraischen Mannigfaltigkeiten, die quasihomogen bezüglich eineralgebraischen Gruppe sind. Zbl 0308.14009
Popov, V. L.
1
1975
Structure of the closure of orbits in spaces of finite-dimensional linear SL(2) representations. Zbl 0313.20024
Popov, V. L.
1
1975
Picard-Gruppen homogener Räume linearer algebraischer Gruppen und eindimensionale homogene Vektorbündel. Zbl 0298.14023
Popov, V. L.
13
1974
Quasihomogeneous affine algebraic varieties of the group SL(2). Zbl 0286.14013
Popov, V. L.
4
1974
On a class of quasihomogeneous affine varieties. Zbl 0255.14016
Vinberg, E. B.; Popov, V. L.
34
1973
On the stability of the action of an algebraic group on an algebraic variety. Zbl 0253.14008
Popov, V. L.
8
1973
Quasihomogene affine algebraische Mannigfaltigkeiten der Gruppe SL(2). Zbl 0281.14022
Popov, V. L.
7
1973
Classification of affine algebraic surfaces quasihomogeneous with respect to an algebraic group. Zbl 0258.14017
Popov, V. L.
2
1973
Stationary subgroups of points of general position in the representation space of a semisimple Lie group. Zbl 0246.22017
Andreev, E. M.; Popov, V. L.
10
1972
On the stability of the action of an algebraic group on an algebraic variety. Zbl 0232.14018
Popov, V. L.
8
1972
Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014
Vinberg, E. B.; Popov, V. L.
5
1972
Stability criteria for the action of a semisimple group on a factorial manifold. Zbl 0261.14011
Popov, V. L.
18
1971
Kriterium für die Stabilität der Operation einer halbeinfachen Gruppe auf der Faktormannigfaligkeit. Zbl 0208.38002
Popov, V. L.
1
1970
all top 5

Cited by 626 Authors

25 Popov, Vladimir Leonidovich
16 Panyushev, Dmitri Ivanovich
14 Arzhantsev, Ivan Vladimirovich
11 Reichstein, Zinovy B.
10 Brion, Michel
9 Derksen, Harm
8 Kraft, Hanspeter
8 Mundet i Riera, Ignasi
8 Röhrle, Gerhard E.
8 Schwarz, Gerald Walter
7 Bibikov, Pavel Vitalievich
7 Makam, Visu
7 Prokhorov, Yuriĭ Gennad’evich
7 Shramov, Konstantin Aleksandrovich
7 Zaidenberg, Mikhail G.
7 Zarkhin, Yuriĭ Gennad’evich
6 Kac, Victor
6 Kaliman, Shulim I.
5 Avdeev, Roman S.
5 Bulois, Michaël
5 Garibaldi, Skip
5 Grosshans, Frank D.
5 Hoshi, Akinari
5 Kaveh, Kiumars
5 Lychagin, Valentin V.
5 Manon, Christopher
5 Nakajima, Haruhisa
5 Vinberg, Èrnest Borisovich
5 Yamasaki, Aiichi
4 Bandman, Tatiana M.
4 De Bruyn, Bart
4 Dixmier, Jacques
4 Guralnick, Robert Michael
4 Herbig, Hans-Christian
4 Kemper, Gregor
4 Knop, Friedrich
4 Kwiatkowski, Mariusz
4 Losev, Ivan V.
4 Pauer, Franz
4 Petukhov, Alexey V.
4 Premet, Alexander A.
4 Seaton, Christopher
4 Vust, Thierry
3 Cziszter, Kálmán
3 Dolgachev, Igor’ Vladimirovich
3 Finston, David Robert
3 Fox, Daniel J. F.
3 Goodwin, Simon M.
3 Hille, Lutz
3 Kis, Ottó
3 Levasseur, Thierry
3 Liendo, Alvaro
3 Renner, Lex E.
3 Sakellaridis, Yiannis
3 Shander, V. N.
3 Song, Jaewon
3 Tange, Rudolf
3 Timashev, Dmitri A.
3 Vilonen, Kari
3 Vonessen, Nikolaus
3 Walcher, Sebastian
3 Wehlau, David Louis
3 Xue, Ting
3 Yakimova, Oksana S.
2 Alcántara, Claudia R.
2 Alekseevskiĭ, Dmitriĭ Vladimirovich
2 Altınel, Tuna
2 Argyres, Philip C.
2 Auffarth, Robert Frederick II
2 Baues, Oliver
2 Ben Abdelghani, Leila
2 Bérczi, Gergely
2 Berest, Yuri Yu.
2 Blanc, Jérémy
2 Bogomolov, Fedor Alekseivich
2 Borovoi, Mikhail V.
2 Braun, Lukas
2 Bravi, Paolo
2 Burde, Dietrich
2 Cheltsov, Ivan Anatol’evich
2 Costoya, Cristina
2 Crooks, Peter
2 Cupit-Foutou, Stéphanie
2 Daigle, Daniel
2 de Graaf, Willem Adriaan
2 Deveney, James Kevin
2 Dietrich, Heiko
2 Đoković, Dragomir Ž.
2 Domokos, Mátyás
2 Dotti, Gustavo
2 Draisma, Jan
2 Eshmatov, Alimjon
2 Eshmatov, Farkhod
2 Fittouhi, Yasmine
2 Flenner, Hubert
2 Freudenburg, Gene
2 Furter, Jean-Philippe
2 Gaifullin, Sergey A.
2 Ganev, Iordan
2 Gindikin, Simon Grigorevich
...and 526 more Authors
all top 5

Cited in 149 Serials

76 Journal of Algebra
34 Transformation Groups
27 Annales de l’Institut Fourier
26 Advances in Mathematics
18 Journal of Mathematical Sciences (New York)
17 Transactions of the American Mathematical Society
15 Journal of Pure and Applied Algebra
14 Mathematical Notes
14 Functional Analysis and its Applications
13 Mathematische Zeitschrift
12 Proceedings of the Steklov Institute of Mathematics
11 Acta Mathematica Academiae Scientiarum Hungaricae
11 Proceedings of the American Mathematical Society
10 Inventiones Mathematicae
9 Compositio Mathematica
9 Mathematische Annalen
8 Communications in Algebra
8 Duke Mathematical Journal
8 Linear Algebra and its Applications
8 Indagationes Mathematicae. New Series
7 Journal of Symbolic Computation
7 Selecta Mathematica. New Series
6 Journal of High Energy Physics
5 Journal of Geometry and Physics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Manuscripta Mathematica
5 Doklady Mathematics
4 Communications in Mathematical Physics
4 Mathematics of Computation
4 Michigan Mathematical Journal
4 Proceedings of the Japan Academy. Series A
4 Transactions of the Moscow Mathematical Society
4 Acta Applicandae Mathematicae
4 Differential Geometry and its Applications
4 Izvestiya: Mathematics
3 Analysis Mathematica
3 Journal of Mathematical Physics
3 Nuclear Physics. B
3 Russian Mathematical Surveys
3 Archiv der Mathematik
3 Journal of Combinatorial Theory. Series A
3 Journal of Number Theory
3 Journal of Soviet Mathematics
3 Nagoya Mathematical Journal
3 International Journal of Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Russian Mathematics
3 Journal of Algebraic Geometry
3 Journal of Lie Theory
3 Representation Theory
3 Lobachevskii Journal of Mathematics
3 Qualitative Theory of Dynamical Systems
3 Central European Journal of Mathematics
3 Forum of Mathematics, Sigma
3 European Journal of Mathematics
2 Israel Journal of Mathematics
2 Rocky Mountain Journal of Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Bulletin de la Société Mathématique de France
2 Canadian Journal of Mathematics
2 Publications Mathématiques
2 Journal für die Reine und Angewandte Mathematik
2 The Journal of Geometric Analysis
2 Algebras and Representation Theory
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of \(K\)-Theory
1 Bulletin of the Australian Mathematical Society
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Moscow University Mathematics Bulletin
1 Periodica Mathematica Hungarica
1 Reports on Mathematical Physics
1 Reviews in Mathematical Physics
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
1 Commentarii Mathematici Helvetici
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Results in Mathematics
1 Revista Colombiana de Matemáticas
1 Advances in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
...and 49 more Serials
all top 5

Cited in 48 Fields

370 Algebraic geometry (14-XX)
204 Group theory and generalizations (20-XX)
113 Nonassociative rings and algebras (17-XX)
98 Commutative algebra (13-XX)
51 Topological groups, Lie groups (22-XX)
46 Associative rings and algebras (16-XX)
45 Several complex variables and analytic spaces (32-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
39 Differential geometry (53-XX)
38 Number theory (11-XX)
24 Manifolds and cell complexes (57-XX)
21 Quantum theory (81-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Combinatorics (05-XX)
13 Computer science (68-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Geometry (51-XX)
8 Field theory and polynomials (12-XX)
8 Ordinary differential equations (34-XX)
7 Category theory; homological algebra (18-XX)
6 Approximations and expansions (41-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
4 Abstract harmonic analysis (43-XX)
4 General topology (54-XX)
3 Mathematical logic and foundations (03-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Partial differential equations (35-XX)
3 Algebraic topology (55-XX)
3 Relativity and gravitational theory (83-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 \(K\)-theory (19-XX)
2 Functions of a complex variable (30-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Convex and discrete geometry (52-XX)
2 Statistics (62-XX)
2 Numerical analysis (65-XX)
2 Mechanics of particles and systems (70-XX)
2 Systems theory; control (93-XX)
1 General algebraic systems (08-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of deformable solids (74-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.