Edit Profile (opens in new tab) Popov, Vladimir Leonidovich Co-Author Distance Author ID: popov.vladimir-leonidovich Published as: Popov, V. L.; Popov, Vladimir L.; Popov, Vladimir; Popov, V. more...less Homepage: https://www.hse.ru/en/org/persons/47634458 External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 142 Publications since 1970, including 2 Books and 9 Additional arXiv Preprints 5 Contributions as Editor · 3 Further Contributions Reviewing Activity: 470 Reviews Biographic References: 1 Publication Co-Authors: 57 Co-Authors with 34 Joint Publications 2,442 Co-Co-Authors 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, Vadym 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, Iakov 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 all top 5 Fields 108 Algebraic geometry (14-XX) 76 Group theory and generalizations (20-XX) 19 Nonassociative rings and algebras (17-XX) 16 Commutative algebra (13-XX) 12 Topological groups, Lie groups (22-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 History and biography (01-XX) 9 Manifolds and cell complexes (57-XX) 6 General and overarching topics; collections (00-XX) 6 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 843 times in 630 Documents Cited by ▼ Year ▼ Invariant theory. Zbl 0789.14008 Popov, V. L.; Vinberg, Eh. B. 67 1989 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 54 2015 On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties. Zbl 1242.14044 Popov, Vladimir L. 48 2011 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. 29 1976 Jordan groups and automorphism groups of algebraic varieties. Zbl 1325.14024 Popov, Vladimir L. 28 2014 Contraction of the actions of reductive algebraic groups. Zbl 0627.14033 Popov, V. L. 27 1987 Invariant theory. Zbl 0735.14010 Popov, V. L.; Vinberg, Eh. B. 27 1989 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 Picard groups of homogeneous spaces of linear algebraic groups and one- dimensional homogeneous vector bundles. Zbl 0301.14018 Popov, V. L. 24 1975 Groups, generators, syzygies, and orbits in invariant theory. Transl. from the Russian by A. Martsinkovsky. Zbl 0754.13005 Popov, V. L. 22 1992 Discrete complex reflection groups. Zbl 0481.20030 Popov, V. L. 20 1982 Cayley groups. Zbl 1103.14026 Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy 19 2006 Constructive invariant theory. Zbl 0491.14004 Popov, V. L. 18 1981 Stability criteria for the action of a semisimple group on a factorial manifold. Zbl 0261.14011 Popov, V. L. 18 1971 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 Classification of spinors of dimension fourteen. Zbl 0443.20038 Popov, V. L. 16 1980 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. 13 1977 On infinite dimensional algebraic transformation groups. Zbl 1309.14036 Popov, Vladimir L. 13 2014 Generically multiple transitive algebraic group actions. Zbl 1135.14038 Popov, Vladimir L. 11 2007 Irregular and singular loci of commuting varieties. Zbl 1189.17017 Popov, Vladimir L. 11 2008 Finite subgroups of diffeomorphism groups. Zbl 1337.57066 Popov, Vladimir L. 11 2015 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 number of orbits of a parabolic subgroup on its unipotent radical. Zbl 0887.14020 Popov, Vladimir; Röhrle, Gerhard 10 1997 Hilbert’s theorem on invariants. Zbl 0446.14004 Popov, V. L. 10 1979 Automorphism groups of finite dimensional simple algebras. Zbl 1073.20039 Gordeev, Nikolai L.; Popov, Vladimir L. 9 2003 Quasihomogene affine algebraische Mannigfaltigkeiten der Gruppe SL(2). Zbl 0281.14022 Popov, V. L. 9 1973 Self-dual projective algebraic varieties associated with symmetric spaces. Zbl 1093.14072 Popov, Vladimir L.; Tevelev, Evgueni A. 9 2004 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 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 An analogue of M. Artin’s conjecture on invariants for nonassociative algebras. Zbl 0841.15029 Popov, Vladimir L. 8 1995 On the stability of the action of an algebraic group on an algebraic variety. Zbl 0232.14018 Popov, V. L. 8 1972 On the stability of the action of an algebraic group on an algebraic variety. Zbl 0253.14008 Popov, V. L. 8 1973 A finiteness theorem for parabolic subgroups of fixed modality. Zbl 0905.20029 Popov, Vladimir L. 8 1997 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 Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014 Vinberg, E. B.; Popov, V. L. 7 1972 The cone of Hilbert nullforms. Zbl 1125.14301 Popov, V. L. 7 2003 One conjecture of Steinberg. Zbl 0368.14017 Popov, V. L. 7 1977 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 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 On polarizations in invariant theory. Zbl 1099.13012 Losik, Mark; Michor, Peter W.; Popov, Vladimir L. 6 2006 Birational splitting and algebraic group actions. Zbl 1332.14061 Popov, Vladimir L. 6 2016 Self-dual algebraic varieties and nilpotent orbits. Zbl 1060.14066 Popov, Vladimir L. 6 2002 The Jordan property for Lie groups and automorphism groups of complex spaces. Zbl 1401.14184 Popov, V. L. 6 2018 Three plots about the Cremona groups. Zbl 1423.14098 Popov, V. L. 6 2019 Quasihomogeneous affine algebraic varieties of the group SL(2). Zbl 0286.14013 Popov, V. L. 5 1974 Classification of spinors of dimension fourteen. Zbl 0451.15017 Popov, V. L. 5 1978 Two orbits: when is one in the closure of the other? Zbl 1312.14110 Popov, V. L. 5 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 A finiteness theorem for representations with a free algebra of invariants. Zbl 0547.20034 Popov, V. L. 4 1983 Closed orbits of Borel subgroups. Zbl 0713.20036 Popov, V. L. 4 1989 On the “Lemma of Seshadri”. Zbl 0783.14027 Popov, V. L. 4 1992 Tensor product decompositions and open orbits in multiple flag varieties. Zbl 1158.20021 Popov, Vladimir L. 3 2007 Constructive invariant theory. Zbl 0478.14006 Popov, V. L. 3 1981 Algebraic geometry. Transl. from the Russian. Zbl 1027.00508 3 2003 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 Invariant theory. Zbl 0736.15019 Popov, V. L. 3 1991 Eine Klassifikation der Spinoren der Dimension 14. Zbl 0367.22013 Popov, V. L. 3 1977 Algebraic curves with an infinite automorphism group. Zbl 0406.14018 Popov, V. L. 3 1978 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 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. 2 1987 Classification of affine algebraic surfaces quasihomogeneous with respect to an algebraic group. Zbl 0258.14017 Popov, V. L. 2 1973 Finite linear groups, lattices, and products of elliptic curves. Zbl 1111.14041 Popov, Vladimir L.; Zarhin, Yuri G. 2 2006 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 Projective duality and principal nilpotent elements of symmetric pairs. Zbl 1093.14071 Popov, Vladimir L. 2 2005 Number of components of the nullcone. Zbl 1333.14042 Popov, V. L. 2 2015 On closedness of stationary subgroup of affine transformations group. Zbl 1376.53034 Popov, V. 2 2017 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 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 Group varieties and group structures. Zbl 1520.14087 Popov, Vladimir L. 2 2022 Algebraic groups whose orbit closures contain only finitely many orbits. Zbl 1467.20037 Popov, Vladimir L. 2 2021 Variations on the theme of Zariski’s cancellation problem. Zbl 1455.14121 Popov, Vladimir L. 2 2020 Modality of representations, and packets for \(\theta\)-groups. Zbl 1427.14100 Popov, Vladimir L. 2 2018 Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Zbl 1412.22001 2 2018 On the Cayley degree of an algebraic group. Zbl 1200.14091 Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy 1 2007 Kriterium für die Stabilität der Operation einer halbeinfachen Gruppe auf der Faktormannigfaligkeit. Zbl 0208.38002 Popov, V. L. 1 1970 On the closedness of some orbits of algebraic groups. Zbl 0933.14029 Popov, V. L. 1 1997 Über eine Hypothese von Steinberg. Zbl 0346.14017 Popov, V. L. 1 1977 On polynomial automorphisms of affine spaces. Zbl 0994.14006 Popov, V. L. 1 2001 Invariant tensor fields and orbit varieties for finite algebraic transformation groups. Zbl 1063.14055 Losik, Mark; Michor, Peter W.; Popov, Vladimir L. 1 2003 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 The word problem for relatively free semigroups. Zbl 1095.20033 Popov, V. 1 2006 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 Around the Abhyankar-Sathaye conjecture. Zbl 1338.14059 Popov, Vladimir L. 1 2015 Root systems in number fields. Zbl 1478.11129 Popov, Vladimir L.; Zarhin, Yuri G. 1 2021 Bass’ triangulability problem. Zbl 1396.14015 Popov, Vladimir L. 1 2017 Embeddings of automorphism groups of free groups into automorphism groups of affine algebraic varieties. Zbl 1516.20063 Popov, V. L. 1 2023 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 Group varieties and group structures. Zbl 1520.14087 Popov, Vladimir L. 2 2022 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 Algebraic groups whose orbit closures contain only finitely many orbits. Zbl 1467.20037 Popov, Vladimir L. 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. 2 2018 Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Zbl 1412.22001 2 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 54 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. 28 2014 On infinite dimensional algebraic transformation groups. Zbl 1309.14036 Popov, Vladimir L. 13 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. 48 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. 5 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 19 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. 9 2003 The cone of Hilbert nullforms. Zbl 1125.14301 Popov, V. L. 7 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. 6 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. 8 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. 22 1992 On the “Lemma of Seshadri”. Zbl 0783.14027 Popov, V. L. 4 1992 Invariant theory. Zbl 0736.15019 Popov, V. L. 3 1991 Invariant theory. Zbl 0789.14008 Popov, V. L.; Vinberg, Eh. B. 67 1989 Invariant theory. Zbl 0735.14010 Popov, V. L.; Vinberg, Eh. B. 27 1989 Closed orbits of Borel subgroups. Zbl 0713.20036 Popov, V. L. 4 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. 2 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. 4 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. 13 1977 One conjecture of Steinberg. Zbl 0368.14017 Popov, V. L. 7 1977 Classification of spinors of dimension fourteen. Zbl 0327.15028 Popov, V. L. 3 1977 Eine Klassifikation der Spinoren der Dimension 14. Zbl 0367.22013 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. 29 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. 24 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. 5 1974 On a class of quasihomogeneous affine varieties. Zbl 0255.14016 Vinberg, E. B.; Popov, V. L. 34 1973 Quasihomogene affine algebraische Mannigfaltigkeiten der Gruppe SL(2). Zbl 0281.14022 Popov, V. L. 9 1973 On the stability of the action of an algebraic group on an algebraic variety. Zbl 0253.14008 Popov, V. L. 8 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. 7 1972 Stability criteria for the action of a semisimple group on a factorial manifold. Zbl 0261.14011 Popov, V. L. 18 1971 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 654 Authors 26 Popov, Vladimir Leonidovich 16 Panyushev, Dmitri Ivanovich 15 Arzhantsev, Ivan Vladimirovich 11 Reichstein, Zinovy B. 10 Brion, Michel 9 Derksen, Harm 9 Kraft, Hanspeter 9 Zaidenberg, Mikhail G. 8 Mundet i Riera, Ignasi 8 Röhrle, Gerhard E. 8 Schwarz, Gerald Walter 7 Bibikov, Pavel Vitalievich 7 Kaliman, Shulim I. 7 Makam, Visu 7 Prokhorov, Yuriĭ Gennad’evich 7 Shramov, Konstantin Aleksandrovich 7 Zarkhin, Yuriĭ Gennad’evich 6 Herbig, Hans-Christian 6 Kac, Victor 6 Lychagin, Valentin V. 6 Seaton, Christopher 5 Avdeev, Roman S. 5 Bulois, Michaël 5 Garibaldi, Skip 5 Grosshans, Frank D. 5 Hoshi, Akinari 5 Kaveh, Kiumars 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 Herden, Daniel 4 Kemper, Gregor 4 Knop, Friedrich 4 Kwiatkowski, Mariusz 4 Liendo, Alvaro 4 Losev, Ivan V. 4 Pauer, Franz 4 Petukhov, Alexey V. 4 Premet, Alexander A. 4 Vust, Thierry 3 Costoya, Cristina 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 Regeta, Andriy 3 Renner, Lex E. 3 Sakellaridis, Yiannis 3 Shander, V. N. 3 Song, Jaewon 3 Tange, Rudolf 3 Timashev, Dmitri A. 3 Tschinkel, Yuri 3 Vilonen, Kari 3 Viruel, Antonio 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 Bolsinov, Alexey V. 2 Borovoi, Mikhail V. 2 Braun, Lukas 2 Bravi, Paolo 2 Burde, Dietrich 2 Can, Mahir Bilen 2 Cheltsov, Ivan Anatol’evich 2 Crooks, Peter 2 Cupit-Foutou, Stéphanie 2 Daigle, Daniel 2 Dali, Dahira 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 ...and 554 more Authors all top 5 Cited in 156 Serials 77 Journal of Algebra 38 Transformation Groups 27 Annales de l’Institut Fourier 26 Advances in Mathematics 19 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 13 Proceedings of the Steklov Institute of Mathematics 11 Acta Mathematica Academiae Scientiarum Hungaricae 11 Proceedings of the American Mathematical Society 10 Inventiones Mathematicae 9 Communications in Algebra 9 Compositio Mathematica 9 Mathematische Annalen 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 Izvestiya: Mathematics 5 Doklady Mathematics 4 Communications in Mathematical Physics 4 Russian Mathematical Surveys 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 3 Analysis Mathematica 3 Journal of Mathematical Physics 3 Nuclear Physics. B 3 Archiv der Mathematik 3 Journal of Combinatorial Theory. Series A 3 Journal of the London Mathematical Society. Second Series 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 Geometriae Dedicata 2 Publications Mathématiques 2 Journal für die Reine und Angewandte Mathematik 2 The Journal of Geometric Analysis 2 St. Petersburg Mathematical Journal 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 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 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 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 Rendiconti del Circolo Matemàtico di Palermo. Serie II ...and 56 more Serials all top 5 Cited in 48 Fields 384 Algebraic geometry (14-XX) 209 Group theory and generalizations (20-XX) 119 Nonassociative rings and algebras (17-XX) 102 Commutative algebra (13-XX) 55 Topological groups, Lie groups (22-XX) 47 Associative rings and algebras (16-XX) 46 Several complex variables and analytic spaces (32-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 43 Differential geometry (53-XX) 39 Number theory (11-XX) 25 Manifolds and cell complexes (57-XX) 21 Quantum theory (81-XX) 19 Combinatorics (05-XX) 18 Global analysis, analysis on manifolds (58-XX) 14 Computer science (68-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 9 Geometry (51-XX) 8 Field theory and polynomials (12-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) 4 Algebraic topology (55-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Partial differential equations (35-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 Mechanics of deformable solids (74-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 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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