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: 129 Publications since 1970, including 2 Books 5 Contributions as Editor · 3 Further Contributions Reviewing Activity: 470 Reviews Biographic References: 1 Publication Co-Authors: 54 Co-Authors with 33 Joint Publications 2,120 Co-Co-Authors all top 5 Co-Authors 98 single-authored 7 Vinberg, Èrnest Borisovich 6 Zarkhin, Yuriĭ Gennad’evich 4 Parshin, Alexei N. 3 Gorchinskiĭ, Sergeĭ Olegovich 3 Kac, Victor G. 3 Orlov, Dmitri O. 3 Reichstein, Zinovy B. 2 Anosov, Dmitriĭ Viktorovich 2 Bessonov, Nikolai 2 Bocharov, Gennady A. 2 Gamkrelidze, Revaz Valerianovich 2 Kraft, Hanspeter 2 Lemire, Nicole Marie Anne 2 Losik, Mark V. 2 Michor, Peter Wolfram 2 Osipov, Denis Vasil’evich 2 Ovchinnikov, Alexey Vital’evich 2 Sakharova, V. P. 2 Sergeev, Armen Glebovich 2 Treshchev, Dmitriĭ Valer’evich 2 Volpert, Vitaly A. 2 Zheglov, Alexander B. 1 Adyan, Sergeĭ Ivanovich 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Andreev, E. M. 1 Bogomolov, Fedor Alekseivich 1 Bugaenko, V. O. 1 Bukhshtaber, Viktor Matveevich 1 Bustamante, Carlos Andres 1 Campo, Nobert A. 1 Cheltsov, Ivan Anatol’evich 1 Chirka, Evgeni M. 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 Kozlov, Valeriĭ Vasil’evich 1 Kulikov, Viktor Stepanovich 1 Kunyavskiĭ, Boris Èmmanuilovich 1 Leon, Cristina 1 Martínez-Tejada, H. V. 1 Matiyasevich, Yuriĭ Vladimirovich 1 Meyerhans, Andreas 1 Nesterenko, Yuriĭ Valentinovich 1 Nikulin, Vyacheslav Valentinovich 1 Novikov, Sergeĭ Petrovich 1 Ol’shanskiĭ, Grigoriĭ Iosifovich 1 Panin, Ivan A. 1 Panov, Aleksandr Nikolaevich 1 Panyushev, Dmitri Ivanovich 1 Platonov, Vladimir Petrovich 1 Prokhorov, Yuriĭ Gennad’evich 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Reid, Miles 1 Röhrle, Gerhard E. 1 Shafarevich, Igor’ Rostislavovich 1 Shvartsman, O. V. 1 Springer, Tonny Albert 1 Tevelev, Evgueni A. 1 Tsikh, Avgust Karlovich 1 Vavilov, Nikolaĭ Aleksandrovich 1 Vostokov, Sergeĭ Vladimirovich 1 Zel’manov, Efim Isaakovich all top 5 Serials 10 Mathematics of the USSR. Izvestiya 8 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 7 Proceedings of the Steklov Institute of Mathematics 6 Mathematical Notes 6 Russian Mathematical Surveys 6 Functional Analysis and its Applications 6 Doklady Mathematics 4 Journal of Algebra 4 Izvestiya: Mathematics 4 Transformation Groups 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 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 102 Algebraic geometry (14-XX) 72 Group theory and generalizations (20-XX) 19 Nonassociative rings and algebras (17-XX) 16 Commutative algebra (13-XX) 11 Topological groups, Lie groups (22-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Manifolds and cell complexes (57-XX) 8 History and biography (01-XX) 6 General and overarching topics; collections (00-XX) 6 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Biology and other natural sciences (92-XX) 2 Partial differential equations (35-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 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 789 times in 593 Documents Cited by ▼ Year ▼ Invariant theory. Zbl 0789.14008Popov, V. L.; Vinberg, Eh. B. 66 1989 On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties. Zbl 1242.14044Popov, Vladimir L. 41 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 1332.13001Derksen, Harm; Kemper, Gregor 40 2015 On a class of quasihomogeneous affine varieties. Zbl 0255.14016Vinberg, E. B.; Popov, V. L. 32 1973 Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre. Zbl 0343.20023Kac, Victor G.; Popov, Vladimir L.; Vinberg, Ernest B. 27 1976 Algebraic geometry. (Алгебраическая геометрия.) Zbl 1126.14001 27 2006 Contraction of the actions of reductive algebraic groups. Zbl 0627.14033Popov, V. L. 26 1987 Some open problems in invariant theory. Zbl 0783.14028Popov, V. L.; Vinberg, E. B. 25 1992 Invariant theory. Zbl 0735.14010Popov, V. L.; Vinberg, Eh. B. 25 1989 Jordan groups and automorphism groups of algebraic varieties. Zbl 1325.14024Popov, Vladimir L. 25 2014 Picard groups of homogeneous spaces of linear algebraic groups and one- dimensional homogeneous vector bundles. Zbl 0301.14018Popov, V. L. 22 1975 Groups, generators, syzygies, and orbits in invariant theory. Transl. from the Russian by A. Martsinkovsky. Zbl 0754.13005Popov, V. L. 19 1992 Discrete complex reflection groups. Zbl 0481.20030Popov, V. L. 19 1982 Constructive invariant theory. Zbl 0491.14004Popov, V. L. 18 1981 Stability criteria for the action of a semisimple group on a factorial manifold. Zbl 0261.14011Popov, V. L. 18 1971 Contraction of the actions of reductive algebraic groups. Zbl 0613.14034Popov, V. L. 17 1986 Semisimple group actions on the three dimensional affine space are linear. Zbl 0645.14020Kraft, Hanspeter; Popov, Vladimir L. 16 1985 Cayley groups. Zbl 1103.14026Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy 16 2006 Classification of spinors of dimension fourteen. Zbl 0443.20038Popov, V. L. 16 1980 The constructive theory of invariants. Zbl 0501.14006Popov, V. L. 13 1982 Picard-Gruppen homogener Räume linearer algebraischer Gruppen und eindimensionale homogene Vektorbündel. Zbl 0298.14023Popov, V. L. 13 1974 Representations with a free module of covariants. Zbl 0365.20053Popov, V. L. 12 1977 On infinite dimensional algebraic transformation groups. Zbl 1309.14036Popov, Vladimir L. 12 2014 Finite subgroups of diffeomorphism groups. Zbl 1337.57066Popov, Vladimir L. 11 2015 Irregular and singular loci of commuting varieties. Zbl 1189.17017Popov, Vladimir L. 10 2008 On the number of orbits of a parabolic subgroup on its unipotent radical. Zbl 0887.14020Popov, Vladimir; Röhrle, Gerhard 10 1997 Generically multiple transitive algebraic group actions. Zbl 1135.14038Popov, Vladimir L. 10 2007 Stationary subgroups of points of general position in the representation space of a semisimple Lie group. Zbl 0246.22017Andreev, E. M.; Popov, V. L. 10 1972 Hilbert’s theorem on invariants. Zbl 0446.14004Popov, 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 0925.17021Kac, Victor G. 9 1993 A finiteness theorem for parabolic subgroups of fixed modality. Zbl 0905.20029Popov, Vladimir L. 8 1997 Automorphism groups of finite dimensional simple algebras. Zbl 1073.20039Gordeev, Nikolai L.; Popov, Vladimir L. 8 2003 Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? Zbl 1218.14010Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris; Popov, Vladimir L.; Reichstein, Zinovy 8 2011 Self-dual projective algebraic varieties associated with symmetric spaces. Zbl 1093.14072Popov, Vladimir L.; Tevelev, Evgueni A. 8 2004 Some subgroups of the Cremona groups. Zbl 1301.14006Popov, Vladimir L. 8 2013 On the stability of the action of an algebraic group on an algebraic variety. Zbl 0232.14018Popov, V. L. 8 1972 On the stability of the action of an algebraic group on an algebraic variety. Zbl 0253.14008Popov, V. L. 8 1973 Borel subgroups of Cremona groups. Zbl 1427.14035Popov, V. L. 7 2017 One conjecture of Steinberg. Zbl 0368.14017Popov, V. L. 7 1977 Tori in the Cremona groups. Zbl 1278.14065Popov, V. L. 7 2013 Quasihomogene affine algebraische Mannigfaltigkeiten der Gruppe SL(2). Zbl 0281.14022Popov, V. L. 7 1973 An analogue of M. Artin’s conjecture on invariants for nonassociative algebras. Zbl 0841.15029Popov, Vladimir L. 6 1995 On polarizations in invariant theory. Zbl 1099.13012Losik, Mark; Michor, Peter W.; Popov, Vladimir L. 6 2006 Homological dimension of algebras of invariants. Zbl 0525.14007Popov, V. L. 6 1983 Cross-sections, quotients, and representation rings of semisimple algebraic groups. Zbl 1238.20063Popov, Vladimir L. 6 2011 The cone of Hilbert nullforms. Zbl 1125.14301Popov, V. L. 6 2003 Rationality and the FML invariant. Zbl 1300.14047Popov, Vladimir L. 6 2013 Birational splitting and algebraic group actions. Zbl 1332.14061Popov, Vladimir L. 6 2016 The Jordan property for Lie groups and automorphism groups of complex spaces. Zbl 1401.14184Popov, V. L. 6 2018 Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014Vinberg, E. B.; Popov, V. L. 5 1972 Self-dual algebraic varieties and nilpotent orbits. Zbl 1060.14066Popov, Vladimir L. 5 2002 Classification of spinors of dimension fourteen. Zbl 0451.15017Popov, V. L. 5 1978 Three plots about the Cremona groups. Zbl 1423.14098Popov, V. L. 5 2019 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 0669.14004Kraft, Hanspeter 4 1987 On the “Lemma of Seshadri”. Zbl 0783.14027Popov, V. L. 4 1992 Quasihomogeneous affine algebraic varieties of the group SL(2). Zbl 0286.14013Popov, V. L. 4 1974 Two orbits: when is one in the closure of the other? Zbl 1312.14110Popov, V. L. 4 2009 A finiteness theorem for representations with a free algebra of invariants. Zbl 0547.20034Popov, V. L. 3 1983 Algebraic geometry. Transl. from the Russian. Zbl 1027.00508 3 2003 Constructive invariant theory. Zbl 0478.14006Popov, V. L. 3 1981 Closed orbits of Borel subgroups. Zbl 0713.20036Popov, V. L. 3 1989 Eine Klassifikation der Spinoren der Dimension 14. Zbl 0367.22013Popov, V. L. 3 1977 Algebraic curves with an infinite automorphism group. Zbl 0406.14018Popov, V. L. 3 1978 Tensor product decompositions and open orbits in multiple flag varieties. Zbl 1158.20021Popov, Vladimir L. 3 2007 Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259Bessonov, Nikolai; Bocharov, Gennady A.; Leon, Cristina; Popov, Vladimir; Volpert, Vitaly 3 2020 Classification of spinors of dimension fourteen. Zbl 0327.15028Popov, V. L. 3 1977 The classification of representations which are exceptional in the sense of Igusa. Zbl 0327.20015Popov, V. L. 3 1976 Modern developments in invariant theory. Zbl 0679.14024Popov, V. L. 2 1987 Finite linear groups, lattices, and products of elliptic curves. Zbl 1111.14041Popov, 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 1142.20311Popov, V. L. 2 2004 Projective duality and principal nilpotent elements of symmetric pairs. Zbl 1093.14071Popov, Vladimir L. 2 2005 Invariant theory. Zbl 0736.15019Popov, V. L. 2 1991 Classification of affine algebraic surfaces quasihomogeneous with respect to an algebraic group. Zbl 0258.14017Popov, V. L. 2 1973 Algebraic groups whose orbit closures contain only finitely many orbits. Zbl 1467.20037Popov, Vladimir L. 2 2021 Number of components of the nullcone. Zbl 1333.14042Popov, V. L. 2 2015 Existence and dynamics of strains in a nonlocal reaction-diffusion model of viral evolution. Zbl 1458.35417Bessonov, Nikolai; Bocharov, Gennady; Meyerhans, Andreas; Popov, Vladimir; Volpert, Vitaly 2 2021 Invariant tensor fields and orbit varieties for finite algebraic transformation groups. Zbl 1063.14055Losik, Mark; Michor, Peter W.; Popov, Vladimir L. 1 2003 On the closedness of some orbits of algebraic groups. Zbl 0933.14029Popov, V. L. 1 1997 The word problem for relatively free semigroups. Zbl 1095.20033Popov, V. 1 2006 Syzygies in the theory of invariants. Zbl 0573.14003Popov, V. L. 1 1984 On actions of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ n\). Zbl 0685.14027Popov, V. L. 1 1987 Automorphism groups of polynomial algebras. Zbl 0718.13005Popov, V. L. 1 1989 On actions of \(G_ a\) on \({\mathbb{A}}^ p\). Zbl 0734.14015Popov, V. L. 1 1988 On polynomial automorphisms of affine spaces. Zbl 0994.14006Popov, V. L. 1 2001 Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group. Zbl 0331.14026Popov, V. L. 1 1976 Über eine Hypothese von Steinberg. Zbl 0346.14017Popov, V. L. 1 1977 On the Cayley degree of an algebraic group. Zbl 1200.14091Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy 1 2007 Kriterium für die Stabilität der Operation einer halbeinfachen Gruppe auf der Faktormannigfaligkeit. Zbl 0208.38002Popov, V. L. 1 1970 Klassifikation der dreidimensionalen affinen algebraischen Mannigfaltigkeiten, die quasihomogen bezüglich eineralgebraischen Gruppe sind. Zbl 0308.14009Popov, V. L. 1 1975 Structure of the closure of orbits in spaces of finite-dimensional linear SL(2) representations. Zbl 0313.20024Popov, V. L. 1 1975 A local collocation method with radial basis functions for an electrospinning problem. Zbl 07440020Florez, W. F.; Popov, V.; Gaviria-Cardona, J. P.; Bustamante, C. A.; Martínez-Tejada, H. V.; Garcia-Tamayo, E. 1 2022 Root systems in number fields. Zbl 1478.11129Popov, Vladimir L.; Zarhin, Yuri G. 1 2021 On closedness of stationary subgroup of affine transformations group. Zbl 1376.53034Popov, V. 1 2017 Around the Abhyankar-Sathaye conjecture. Zbl 1338.14059Popov, Vladimir L. 1 2015 Orbit closures of the Witt group actions. Zbl 1442.14148Popov, Vladimir L. 1 2019 Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Zbl 1412.22001 1 2018 Variations on the theme of Zariski’s cancellation problem. Zbl 1455.14121Popov, Vladimir L. 1 2020 Modality of representations, and packets for \(\theta\)-groups. Zbl 1427.14100Popov, Vladimir L. 1 2018 Bass’ triangulability problem. Zbl 1396.14015Popov, Vladimir L. 1 2017 A local collocation method with radial basis functions for an electrospinning problem. Zbl 07440020Florez, W. F.; Popov, V.; Gaviria-Cardona, J. P.; Bustamante, C. A.; Martínez-Tejada, H. V.; Garcia-Tamayo, E. 1 2022 Algebraic groups whose orbit closures contain only finitely many orbits. Zbl 1467.20037Popov, Vladimir L. 2 2021 Existence and dynamics of strains in a nonlocal reaction-diffusion model of viral evolution. Zbl 1458.35417Bessonov, Nikolai; Bocharov, Gennady; Meyerhans, Andreas; Popov, Vladimir; Volpert, Vitaly 2 2021 Root systems in number fields. Zbl 1478.11129Popov, Vladimir L.; Zarhin, Yuri G. 1 2021 Genotype-dependent virus distribution and competition of virus strains. Zbl 1439.35259Bessonov, Nikolai; Bocharov, Gennady A.; Leon, Cristina; Popov, Vladimir; Volpert, Vitaly 3 2020 Variations on the theme of Zariski’s cancellation problem. Zbl 1455.14121Popov, Vladimir L. 1 2020 Three plots about the Cremona groups. Zbl 1423.14098Popov, V. L. 5 2019 Orbit closures of the Witt group actions. Zbl 1442.14148Popov, Vladimir L. 1 2019 The Jordan property for Lie groups and automorphism groups of complex spaces. Zbl 1401.14184Popov, V. L. 6 2018 Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Zbl 1412.22001 1 2018 Modality of representations, and packets for \(\theta\)-groups. Zbl 1427.14100Popov, Vladimir L. 1 2018 Borel subgroups of Cremona groups. Zbl 1427.14035Popov, V. L. 7 2017 On closedness of stationary subgroup of affine transformations group. Zbl 1376.53034Popov, V. 1 2017 Bass’ triangulability problem. Zbl 1396.14015Popov, Vladimir L. 1 2017 Birational splitting and algebraic group actions. Zbl 1332.14061Popov, 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 1332.13001Derksen, Harm; Kemper, Gregor 40 2015 Finite subgroups of diffeomorphism groups. Zbl 1337.57066Popov, Vladimir L. 11 2015 Number of components of the nullcone. Zbl 1333.14042Popov, V. L. 2 2015 Around the Abhyankar-Sathaye conjecture. Zbl 1338.14059Popov, Vladimir L. 1 2015 Jordan groups and automorphism groups of algebraic varieties. Zbl 1325.14024Popov, Vladimir L. 25 2014 On infinite dimensional algebraic transformation groups. Zbl 1309.14036Popov, Vladimir L. 12 2014 Some subgroups of the Cremona groups. Zbl 1301.14006Popov, Vladimir L. 8 2013 Tori in the Cremona groups. Zbl 1278.14065Popov, V. L. 7 2013 Rationality and the FML invariant. Zbl 1300.14047Popov, Vladimir L. 6 2013 On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties. Zbl 1242.14044Popov, Vladimir L. 41 2011 Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? Zbl 1218.14010Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris; Popov, Vladimir L.; Reichstein, Zinovy 8 2011 Cross-sections, quotients, and representation rings of semisimple algebraic groups. Zbl 1238.20063Popov, Vladimir L. 6 2011 Two orbits: when is one in the closure of the other? Zbl 1312.14110Popov, V. L. 4 2009 Irregular and singular loci of commuting varieties. Zbl 1189.17017Popov, Vladimir L. 10 2008 Generically multiple transitive algebraic group actions. Zbl 1135.14038Popov, Vladimir L. 10 2007 Tensor product decompositions and open orbits in multiple flag varieties. Zbl 1158.20021Popov, Vladimir L. 3 2007 On the Cayley degree of an algebraic group. Zbl 1200.14091Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy 1 2007 Algebraic geometry. (Алгебраическая геометрия.) Zbl 1126.14001 27 2006 Cayley groups. Zbl 1103.14026Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy 16 2006 On polarizations in invariant theory. Zbl 1099.13012Losik, Mark; Michor, Peter W.; Popov, Vladimir L. 6 2006 Finite linear groups, lattices, and products of elliptic curves. Zbl 1111.14041Popov, Vladimir L.; Zarhin, Yuri G. 2 2006 The word problem for relatively free semigroups. Zbl 1095.20033Popov, V. 1 2006 Projective duality and principal nilpotent elements of symmetric pairs. Zbl 1093.14071Popov, Vladimir L. 2 2005 Self-dual projective algebraic varieties associated with symmetric spaces. Zbl 1093.14072Popov, Vladimir L.; Tevelev, Evgueni A. 8 2004 Moment polytopes of nilpotent orbit closures; dimension and isomorphism of simple modules; and variations on the theme of J. Chipalkatti. Zbl 1142.20311Popov, V. L. 2 2004 Automorphism groups of finite dimensional simple algebras. Zbl 1073.20039Gordeev, Nikolai L.; Popov, Vladimir L. 8 2003 The cone of Hilbert nullforms. Zbl 1125.14301Popov, 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 1063.14055Losik, Mark; Michor, Peter W.; Popov, Vladimir L. 1 2003 Self-dual algebraic varieties and nilpotent orbits. Zbl 1060.14066Popov, Vladimir L. 5 2002 On polynomial automorphisms of affine spaces. Zbl 0994.14006Popov, V. L. 1 2001 On the number of orbits of a parabolic subgroup on its unipotent radical. Zbl 0887.14020Popov, Vladimir; Röhrle, Gerhard 10 1997 A finiteness theorem for parabolic subgroups of fixed modality. Zbl 0905.20029Popov, Vladimir L. 8 1997 On the closedness of some orbits of algebraic groups. Zbl 0933.14029Popov, V. L. 1 1997 An analogue of M. Artin’s conjecture on invariants for nonassociative algebras. Zbl 0841.15029Popov, 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 0925.17021Kac, Victor G. 9 1993 Some open problems in invariant theory. Zbl 0783.14028Popov, V. L.; Vinberg, E. B. 25 1992 Groups, generators, syzygies, and orbits in invariant theory. Transl. from the Russian by A. Martsinkovsky. Zbl 0754.13005Popov, V. L. 19 1992 On the “Lemma of Seshadri”. Zbl 0783.14027Popov, V. L. 4 1992 Invariant theory. Zbl 0736.15019Popov, V. L. 2 1991 Invariant theory. Zbl 0789.14008Popov, V. L.; Vinberg, Eh. B. 66 1989 Invariant theory. Zbl 0735.14010Popov, V. L.; Vinberg, Eh. B. 25 1989 Closed orbits of Borel subgroups. Zbl 0713.20036Popov, V. L. 3 1989 Automorphism groups of polynomial algebras. Zbl 0718.13005Popov, V. L. 1 1989 On actions of \(G_ a\) on \({\mathbb{A}}^ p\). Zbl 0734.14015Popov, V. L. 1 1988 Contraction of the actions of reductive algebraic groups. Zbl 0627.14033Popov, V. L. 26 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 0669.14004Kraft, Hanspeter 4 1987 Modern developments in invariant theory. Zbl 0679.14024Popov, V. L. 2 1987 On actions of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ n\). Zbl 0685.14027Popov, V. L. 1 1987 Contraction of the actions of reductive algebraic groups. Zbl 0613.14034Popov, V. L. 17 1986 Semisimple group actions on the three dimensional affine space are linear. Zbl 0645.14020Kraft, Hanspeter; Popov, Vladimir L. 16 1985 Syzygies in the theory of invariants. Zbl 0573.14003Popov, V. L. 1 1984 Homological dimension of algebras of invariants. Zbl 0525.14007Popov, V. L. 6 1983 A finiteness theorem for representations with a free algebra of invariants. Zbl 0547.20034Popov, V. L. 3 1983 Discrete complex reflection groups. Zbl 0481.20030Popov, V. L. 19 1982 The constructive theory of invariants. Zbl 0501.14006Popov, V. L. 13 1982 Constructive invariant theory. Zbl 0491.14004Popov, V. L. 18 1981 Constructive invariant theory. Zbl 0478.14006Popov, V. L. 3 1981 Classification of spinors of dimension fourteen. Zbl 0443.20038Popov, V. L. 16 1980 Hilbert’s theorem on invariants. Zbl 0446.14004Popov, V. L. 10 1979 Classification of spinors of dimension fourteen. Zbl 0451.15017Popov, V. L. 5 1978 Algebraic curves with an infinite automorphism group. Zbl 0406.14018Popov, V. L. 3 1978 Representations with a free module of covariants. Zbl 0365.20053Popov, V. L. 12 1977 One conjecture of Steinberg. Zbl 0368.14017Popov, V. L. 7 1977 Eine Klassifikation der Spinoren der Dimension 14. Zbl 0367.22013Popov, V. L. 3 1977 Classification of spinors of dimension fourteen. Zbl 0327.15028Popov, V. L. 3 1977 Über eine Hypothese von Steinberg. Zbl 0346.14017Popov, V. L. 1 1977 Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre. Zbl 0343.20023Kac, Victor G.; Popov, Vladimir L.; Vinberg, Ernest B. 27 1976 The classification of representations which are exceptional in the sense of Igusa. Zbl 0327.20015Popov, V. L. 3 1976 Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group. Zbl 0331.14026Popov, V. L. 1 1976 Picard groups of homogeneous spaces of linear algebraic groups and one- dimensional homogeneous vector bundles. Zbl 0301.14018Popov, V. L. 22 1975 Klassifikation der dreidimensionalen affinen algebraischen Mannigfaltigkeiten, die quasihomogen bezüglich eineralgebraischen Gruppe sind. Zbl 0308.14009Popov, V. L. 1 1975 Structure of the closure of orbits in spaces of finite-dimensional linear SL(2) representations. Zbl 0313.20024Popov, V. L. 1 1975 Picard-Gruppen homogener Räume linearer algebraischer Gruppen und eindimensionale homogene Vektorbündel. Zbl 0298.14023Popov, V. L. 13 1974 Quasihomogeneous affine algebraic varieties of the group SL(2). Zbl 0286.14013Popov, V. L. 4 1974 On a class of quasihomogeneous affine varieties. Zbl 0255.14016Vinberg, E. B.; Popov, V. L. 32 1973 On the stability of the action of an algebraic group on an algebraic variety. Zbl 0253.14008Popov, V. L. 8 1973 Quasihomogene affine algebraische Mannigfaltigkeiten der Gruppe SL(2). Zbl 0281.14022Popov, V. L. 7 1973 Classification of affine algebraic surfaces quasihomogeneous with respect to an algebraic group. Zbl 0258.14017Popov, V. L. 2 1973 Stationary subgroups of points of general position in the representation space of a semisimple Lie group. Zbl 0246.22017Andreev, E. M.; Popov, V. L. 10 1972 On the stability of the action of an algebraic group on an algebraic variety. Zbl 0232.14018Popov, V. L. 8 1972 Über eine Klasse quasihomogener affiner Mannigfaltigkeiten. Zbl 0248.14014Vinberg, E. B.; Popov, V. L. 5 1972 Stability criteria for the action of a semisimple group on a factorial manifold. Zbl 0261.14011Popov, V. L. 18 1971 Kriterium für die Stabilität der Operation einer halbeinfachen Gruppe auf der Faktormannigfaligkeit. Zbl 0208.38002Popov, V. L. 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 613 Authors 24 Popov, Vladimir Leonidovich 15 Panyushev, Dmitri Ivanovich 13 Arzhantsev, Ivan Vladimirovich 11 Reichstein, Zinovy B. 10 Brion, Michel 9 Derksen, Harm 8 Mundet i Riera, Ignasi 8 Röhrle, Gerhard E. 8 Schwarz, Gerald Walter 7 Bibikov, Pavel Vitalievich 7 Kraft, Hanspeter 7 Makam, Visu 7 Shramov, Konstantin Aleksandrovich 7 Zarkhin, Yuriĭ Gennad’evich 6 Kac, Victor G. 6 Prokhorov, Yuriĭ Gennad’evich 6 Zaidenberg, Mikhail G. 5 Avdeev, Roman S. 5 Bulois, Michaël 5 Garibaldi, Skip 5 Grosshans, Frank D. 5 Hoshi, Akinari 5 Kaliman, Shulim I. 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 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 Knop, Friedrich 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 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 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 2 Globke, Wolfgang 2 Gorfinkel, N. E. ...and 513 more Authors all top 5 Cited in 146 Serials 75 Journal of Algebra 32 Transformation Groups 27 Annales de l’Institut Fourier 25 Advances in Mathematics 18 Journal of Mathematical Sciences (New York) 16 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 10 Inventiones Mathematicae 10 Proceedings of the American Mathematical Society 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 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 Publications Mathématiques 2 Journal für die Reine und Angewandte Mathematik 2 The Journal of Geometric Analysis 2 Journal of Lie Theory 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 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 Canadian Journal of Mathematics 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 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 1 Acta Mathematica Hungarica 1 Journal of Complexity ...and 46 more Serials all top 5 Cited in 47 Fields 361 Algebraic geometry (14-XX) 201 Group theory and generalizations (20-XX) 109 Nonassociative rings and algebras (17-XX) 96 Commutative algebra (13-XX) 50 Topological groups, Lie groups (22-XX) 45 Associative rings and algebras (16-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 43 Several complex variables and analytic spaces (32-XX) 39 Differential geometry (53-XX) 37 Number theory (11-XX) 24 Manifolds and cell complexes (57-XX) 21 Quantum theory (81-XX) 16 Combinatorics (05-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Computer science (68-XX) 9 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 Order, lattices, ordered algebraic structures (06-XX) 3 Partial differential equations (35-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 General algebraic systems (08-XX) 2 \(K\)-theory (19-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-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 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Operator theory (47-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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