Edit Profile (opens in new tab) Zubkov, Alexandr N. Co-Author Distance Author ID: zubkov.alexandr-n Published as: Zubkov, A. N.; Zubkov, Alexandr N.; Zubkov, Alexander more...less External Links: ORCID Documents Indexed: 74 Publications since 1978 1 Contribution as Editor Co-Authors: 21 Co-Authors with 49 Joint Publications 506 Co-Co-Authors all top 5 Co-Authors 26 single-authored 14 Marko, František 9 Fomenko, Valentin Trofimovich 4 Grishkov, Alexander Nikolaevich 4 Masuoka, Akira 3 Domokos, Mátyás 3 La Scala, Roberto 2 Bovdi, Victor A. 2 Kuz’min, S. G. 2 Lopatin, Artem A. 2 Remeslennikov, Vladimir Nikanorovich 1 Akishin, B. A. 1 Antonov, V. V. 1 Gorchinskiĭ, Yu. N. 1 Juráš, Martin 1 Kolesnikov, Pavel Sergeevich 1 Sachkov, Vladimir Nikolaevich 1 Semenov, Andrey M. 1 Shestakov, Ivan Pavlovich 1 Shtern, Aleksandr Savel’evich 1 Ulyashev, P. A. 1 Yablonskiĭ, Sergeĭ Vsevolodovich all top 5 Serials 6 Journal of Algebra 6 Journal of Pure and Applied Algebra 6 Siberian Mathematical Journal 6 Transformation Groups 5 Algebras and Representation Theory 5 Journal of Algebra and its Applications 4 Algebra and Logic 4 Algebra i Logika 3 Communications in Algebra 3 Mathematical Notes 2 Linear and Multilinear Algebra 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 International Journal of Algebra and Computation 2 Russian Mathematics 2 Ukrainskiĭ Geometricheskiĭ Sbornik 1 Matematicheskie Zametki 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Journal of Soviet Mathematics 1 Linear Algebra and its Applications 1 Algebra Colloquium 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki 1 Fundamental’naya i Prikladnaya Matematika 1 Vestnik Omskogo Universiteta 1 Groups, Complexity, Cryptology all top 5 Fields 38 Group theory and generalizations (20-XX) 33 Associative rings and algebras (16-XX) 23 Nonassociative rings and algebras (17-XX) 22 Algebraic geometry (14-XX) 15 Commutative algebra (13-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Differential geometry (53-XX) 6 Combinatorics (05-XX) 3 General algebraic systems (08-XX) 2 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 373 times in 183 Documents Cited by ▼ Year ▼ Semi-invariants of quivers as determinants. Zbl 0984.16023Domokos, M.; Zubkov, A. N. 48 2001 Affine quotients of supergroups. Zbl 1209.14051Zubkov, A. N. 23 2009 Rings of matrix invariants in positive characteristic. Zbl 1024.16014Domokos, M.; Kuzmin, S. G.; Zubkov, A. N. 23 2002 Quotient sheaves of algebraic supergroups are superschemes. Zbl 1276.14076Masuoka, Akira; Zubkov, Alexandr N. 22 2011 Some properties of general linear supergroups and of Schur superalgebras. Zbl 1118.16029Zubkov, A. N. 20 2006 A generalization of the Razmyslov-Procesi theorem. Zbl 0941.16012Zubkov, A. N. 18 1996 Invariants of mixed representations of quivers. I. Zbl 1082.16022Zubkov, A. N. 15 2005 On quotients of affine superschemes over finite supergroups. Zbl 1230.14095Zubkov, A. N. 14 2011 Costandard modules over Schur superalgebras in characteristic \(p\). Zbl 1149.17002La Scala, Roberto; Zubkov, Alexander 11 2008 Non-Abelian free pro-\(p\)-groups cannot be represented by 2-by-2 matrices. Zbl 0653.20026Zubkov, A. N. 10 1987 Semi-invariants of mixed representations of quivers. Zbl 1159.16012Lopatin, A. A.; Zubkov, A. N. 10 2007 Invariants of an adjoint action of classical groups. Zbl 0940.14033Zubkov, A. N. 9 1999 Schur superalgebras in characteristic \(p\). Zbl 1112.16038Marko, František; Zubkov, Alexandr N. 9 2006 Solvable, reductive and quasireductive supergroups. Zbl 1372.17021Grishkov, A. N.; Zubkov, A. N. 9 2016 Solvability and nilpotency for algebraic supergroups. Zbl 1375.14153Masuoka, Akira; Zubkov, Alexandr N. 9 2017 Donkin-Koppinen filtration for general linear supergroups. Zbl 1271.20059La Scala, Roberto; Zubkov, Alexandr N. 8 2012 Pseudocompact algebras and highest weight categories. Zbl 1287.17019Marko, František; Zubkov, Alexandr N. 8 2013 Semisimple representations of quivers in characteristic \(p\). Zbl 1061.16023Domokos, M.; Zubkov, A. N. 8 2002 Invariants of mixed representations of quivers. II: Defining relations and applications. Zbl 1082.16023Zubkov, A. N. 8 2005 Some homological properties of \(\mathrm{GL}(m|n)\) in arbitrary characteristic. Zbl 1365.14067Zubkov, Alexandr N. 7 2016 Schur superalgebras in characteristic \(p\). II. Zbl 1113.16048Marko, František; Zubkov, Alexandr N. 7 2006 Endomorphisms of tensor products of exterior powers and Procesi hypothesis. Zbl 0838.20052Zubkov, A. N. 6 1994 Blocks for the general linear supergroup \(\mathrm{GL}(m|n)\). Zbl 1474.20085Marko, F.; Zubkov, A. N. 6 2018 The center of \(\mathrm{Dist}(\mathrm{GL}(m| n))\) in positive characteristic. Zbl 1393.20022Zubkov, Alexandr N.; Marko, František 5 2016 Description of costandard modules for Schur superalgebra \(S(2|1)\) in positive characteristic. Zbl 1262.17002Grishkov, A. N.; Marko, F.; Zubkov, A. N. 5 2011 The Procesi-Razmyslov theorem for quiver representations. Zbl 1014.16016Zubkov, A. N. 5 2001 Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042Zubkov, A. N.; Shestakov, I. P. 5 2018 Coinvariants for a coadjoint action of quantum matrices. Zbl 1245.16016Antonov, V. V.; Zubkov, A. N. 4 2009 Matrix invariants over an infinite field of finite characteristic. Zbl 0832.16023Zubkov, A. N. 4 1993 Solvable and unipotent supergroups. Zbl 1395.20020Zubkov, A. N.; Ulyashev, P. A. 4 2014 On the notion of Krull super-dimension. Zbl 1444.16029Masuoka, A.; Zubkov, A. N. 4 2020 A note on bideterminants for Schur superalgebras. Zbl 1262.17003Marko, Frantisek; Zubkov, Alexandr N. 3 2011 On the procedure of calculation of the invariants of an adjoint action of classical groups. Zbl 0838.20051Zubkov, A. N. 3 1994 Some properties of Noetherian superschemes. Zbl 1423.14296Zubkov, A. N. 3 2018 Representation of quivers, their generalizations and invariants. Zbl 1207.13004Lopatin, A. A.; Zubkov, A. N. 2 2008 Papers on discrete mathematics. Vol. 1. (Труды по дискретной математике. Том 1.) Zbl 0895.00020 2 1997 Continuity of the lattice of subvarieties of pro-p-groups. Zbl 0662.20018Zubkov, A. N. 2 1988 Surfaces of codimension two with zero normal torsion carrying a conjugate coordinate net in the Euclidean space. Zbl 0671.53006Fomenko, V. T.; Zubkov, A. N. 2 1989 \(GL(m|n)\)-supermodules with good and Weyl filtrations. Zbl 1337.20052Zubkov, Alexandr N. 2 2015 Generators of supersymmetric polynomials in positive characteristic. Zbl 1302.17017Grishkov, A. N.; Marko, F.; Zubkov, A. N. 2 2012 Central elements in the distribution algebra of a general linear supergroup and supersymmetric elements. Zbl 1475.17019Marko, František; Zubkov, Alexandr N. 1 2020 On a matrix representation of a free group. Zbl 0953.20011Zubkov, A. N. 1 1998 Borel subalgebras of Schur superalgebras. Zbl 1150.16028Zubkov, A. N. 1 2005 Minimal degrees of invariants of (super)groups – a connection to cryptology. Zbl 1388.13019Marko, František; Zubkov, Alexandr N. 1 2017 Linkage principle for ortho-symplectic supergroups. Zbl 1425.17008Marko, František; Zubkov, Alexandr N. 1 2018 On dimension theory of supermodules, super-rings, and superschemes. Zbl 1505.16060Zubkov, A. N.; Kolesnikov, P. S. 1 2022 Group superschemes. Zbl 1506.14097Masuoka, A.; Zubkov, A. N. 1 2022 Public-key cryptosystem based on invariants of diagonalizable groups. Zbl 1359.94614Marko, František; Zubkov, Alexandr N.; Juráš, Martin 1 2017 On dimension theory of supermodules, super-rings, and superschemes. Zbl 1505.16060Zubkov, A. N.; Kolesnikov, P. S. 1 2022 Group superschemes. Zbl 1506.14097Masuoka, A.; Zubkov, A. N. 1 2022 On the notion of Krull super-dimension. Zbl 1444.16029Masuoka, A.; Zubkov, A. N. 4 2020 Central elements in the distribution algebra of a general linear supergroup and supersymmetric elements. Zbl 1475.17019Marko, František; Zubkov, Alexandr N. 1 2020 Blocks for the general linear supergroup \(\mathrm{GL}(m|n)\). Zbl 1474.20085Marko, F.; Zubkov, A. N. 6 2018 Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042Zubkov, A. N.; Shestakov, I. P. 5 2018 Some properties of Noetherian superschemes. Zbl 1423.14296Zubkov, A. N. 3 2018 Linkage principle for ortho-symplectic supergroups. Zbl 1425.17008Marko, František; Zubkov, Alexandr N. 1 2018 Solvability and nilpotency for algebraic supergroups. Zbl 1375.14153Masuoka, Akira; Zubkov, Alexandr N. 9 2017 Minimal degrees of invariants of (super)groups – a connection to cryptology. Zbl 1388.13019Marko, František; Zubkov, Alexandr N. 1 2017 Public-key cryptosystem based on invariants of diagonalizable groups. Zbl 1359.94614Marko, František; Zubkov, Alexandr N.; Juráš, Martin 1 2017 Solvable, reductive and quasireductive supergroups. Zbl 1372.17021Grishkov, A. N.; Zubkov, A. N. 9 2016 Some homological properties of \(\mathrm{GL}(m|n)\) in arbitrary characteristic. Zbl 1365.14067Zubkov, Alexandr N. 7 2016 The center of \(\mathrm{Dist}(\mathrm{GL}(m| n))\) in positive characteristic. Zbl 1393.20022Zubkov, Alexandr N.; Marko, František 5 2016 \(GL(m|n)\)-supermodules with good and Weyl filtrations. Zbl 1337.20052Zubkov, Alexandr N. 2 2015 Solvable and unipotent supergroups. Zbl 1395.20020Zubkov, A. N.; Ulyashev, P. A. 4 2014 Pseudocompact algebras and highest weight categories. Zbl 1287.17019Marko, František; Zubkov, Alexandr N. 8 2013 Donkin-Koppinen filtration for general linear supergroups. Zbl 1271.20059La Scala, Roberto; Zubkov, Alexandr N. 8 2012 Generators of supersymmetric polynomials in positive characteristic. Zbl 1302.17017Grishkov, A. N.; Marko, F.; Zubkov, A. N. 2 2012 Quotient sheaves of algebraic supergroups are superschemes. Zbl 1276.14076Masuoka, Akira; Zubkov, Alexandr N. 22 2011 On quotients of affine superschemes over finite supergroups. Zbl 1230.14095Zubkov, A. N. 14 2011 Description of costandard modules for Schur superalgebra \(S(2|1)\) in positive characteristic. Zbl 1262.17002Grishkov, A. N.; Marko, F.; Zubkov, A. N. 5 2011 A note on bideterminants for Schur superalgebras. Zbl 1262.17003Marko, Frantisek; Zubkov, Alexandr N. 3 2011 Affine quotients of supergroups. Zbl 1209.14051Zubkov, A. N. 23 2009 Coinvariants for a coadjoint action of quantum matrices. Zbl 1245.16016Antonov, V. V.; Zubkov, A. N. 4 2009 Costandard modules over Schur superalgebras in characteristic \(p\). Zbl 1149.17002La Scala, Roberto; Zubkov, Alexander 11 2008 Representation of quivers, their generalizations and invariants. Zbl 1207.13004Lopatin, A. A.; Zubkov, A. N. 2 2008 Semi-invariants of mixed representations of quivers. Zbl 1159.16012Lopatin, A. A.; Zubkov, A. N. 10 2007 Some properties of general linear supergroups and of Schur superalgebras. Zbl 1118.16029Zubkov, A. N. 20 2006 Schur superalgebras in characteristic \(p\). Zbl 1112.16038Marko, František; Zubkov, Alexandr N. 9 2006 Schur superalgebras in characteristic \(p\). II. Zbl 1113.16048Marko, František; Zubkov, Alexandr N. 7 2006 Invariants of mixed representations of quivers. I. Zbl 1082.16022Zubkov, A. N. 15 2005 Invariants of mixed representations of quivers. II: Defining relations and applications. Zbl 1082.16023Zubkov, A. N. 8 2005 Borel subalgebras of Schur superalgebras. Zbl 1150.16028Zubkov, A. N. 1 2005 Rings of matrix invariants in positive characteristic. Zbl 1024.16014Domokos, M.; Kuzmin, S. G.; Zubkov, A. N. 23 2002 Semisimple representations of quivers in characteristic \(p\). Zbl 1061.16023Domokos, M.; Zubkov, A. N. 8 2002 Semi-invariants of quivers as determinants. Zbl 0984.16023Domokos, M.; Zubkov, A. N. 48 2001 The Procesi-Razmyslov theorem for quiver representations. Zbl 1014.16016Zubkov, A. N. 5 2001 Invariants of an adjoint action of classical groups. Zbl 0940.14033Zubkov, A. N. 9 1999 On a matrix representation of a free group. Zbl 0953.20011Zubkov, A. N. 1 1998 Papers on discrete mathematics. Vol. 1. (Труды по дискретной математике. Том 1.) Zbl 0895.00020 2 1997 A generalization of the Razmyslov-Procesi theorem. Zbl 0941.16012Zubkov, A. N. 18 1996 Endomorphisms of tensor products of exterior powers and Procesi hypothesis. Zbl 0838.20052Zubkov, A. N. 6 1994 On the procedure of calculation of the invariants of an adjoint action of classical groups. Zbl 0838.20051Zubkov, A. N. 3 1994 Matrix invariants over an infinite field of finite characteristic. Zbl 0832.16023Zubkov, A. N. 4 1993 Surfaces of codimension two with zero normal torsion carrying a conjugate coordinate net in the Euclidean space. Zbl 0671.53006Fomenko, V. T.; Zubkov, A. N. 2 1989 Continuity of the lattice of subvarieties of pro-p-groups. Zbl 0662.20018Zubkov, A. N. 2 1988 Non-Abelian free pro-\(p\)-groups cannot be represented by 2-by-2 matrices. Zbl 0653.20026Zubkov, A. N. 10 1987 all cited Publications top 5 cited Publications all top 5 Cited by 152 Authors 36 Zubkov, Alexandr N. 24 Marko, František 17 Lopatin, Artem A. 10 Masuoka, Akira 9 Makam, Visu 8 Domokos, Mátyás 7 Derksen, Harm 5 Fei, Jiarui 5 Grishkov, Alexander Nikolaevich 5 Shibata, Taiki 4 Kanel’-Belov, Alekseĭ Yakovlevich 4 Qiao, Youming 4 Wigderson, Avi 3 Boston, Nigel 3 Garg, Ankit 3 Ivanyos, Gábor 3 Nakano, Daniel K. 3 Rowen, Louis Halle 3 Shestakov, Ivan Pavlovich 3 Shu, Bin 3 Subrahmanyam, K. Venkata 3 Vaccarino, Francesco 3 Van den Bergh, Michel 2 Aragona, Riccardo 2 Bovdi, Victor A. 2 Chindris, Calin 2 Frenkel, Péter E. 2 Gurvits, Leonid 2 Kuz’min, S. G. 2 La Scala, Roberto 2 Malev, Sergey 2 Mészáros, Szabolcs 2 Muth, Robert 2 Osetinskii, N. I. 2 Procesi, Claudio 2 Schmitt, Alexander H. W. 2 Takahashi, Yuta 2 Weiss, Ariel 2 Young, Matthew B. 1 Adriaenssens, Jan 1 Aizenbud, Avraham 1 Aljadeff, Eli 1 Averyanov, Ilya 1 Axtell, Jonathan D. 1 Ben-Ezra, David El-Chai 1 Benkart, Georgia McClure 1 Berger, Tobias 1 Bocklandt, Raf 1 Bodrenko, I. I. 1 Boe, Brian Douglas 1 Cavalcante, Felipe Barbosa 1 Cheng, Shun-Jen 1 de Araujo, Artur 1 Dinai, Oren 1 Donkin, Stephen 1 Drensky, Vesselin 1 Drupieski, Christopher M. 1 Du, Jie 1 Duan, Jinming 1 Duan, Runyao 1 Elduque, Alberto 1 Fedotov, S. N. 1 Fedotov, Stanislav 1 Fehér, László M. 1 Fioresi, Rita 1 Fomenko, Valentin Trofimovich 1 Franquiz Flores, Ricardo J. 1 Futorny, Vyacheslav M. 1 Galban, David M. 1 Galluzzi, Federica 1 Gómez, Tomás L. 1 Grantcharov, Dimitar 1 Grantcharov, Nikolay 1 Gressman, Philip T. 1 Groeger, Josua 1 Gu, Haixia 1 Heaton, Alexander 1 Hoshi, Mitsukazu 1 Hoskins, Victoria 1 Ikenmeyer, Christian 1 Jaikin-Zapirain, Andrei 1 Joó, Dániel 1 Juráš, Martin 1 Kapovich, Michael 1 Kaygorodov, Ivan 1 Kemer, Aleksandr Robertovich 1 Kleshchev, Alexander S. 1 Kline, Daniel 1 Kolesnikov, Pavel Sergeevich 1 Kujawa, Jonathan Robert 1 Kumar, Shrawan 1 Kuzmin, S. A. 1 Kwok, Stephen Diwen 1 Langer, Adrian 1 Larsen, Michael Jeffrey 1 Le Bruyn, Lieven 1 Lenzing, Helmut 1 Li, Yinan 1 Li, Yiyang 1 Liu, Wanquan ...and 52 more Authors all top 5 Cited in 53 Serials 28 Journal of Algebra 16 Journal of Pure and Applied Algebra 11 Communications in Algebra 11 Advances in Mathematics 11 Algebras and Representation Theory 8 Transformation Groups 8 Journal of Algebra and its Applications 7 Linear Algebra and its Applications 6 Linear and Multilinear Algebra 5 Mathematische Zeitschrift 5 Transactions of the American Mathematical Society 4 International Journal of Algebra and Computation 3 Algebra and Logic 3 Forum Mathematicum 3 Indagationes Mathematicae. New Series 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Journal of Geometry and Physics 2 Glasgow Mathematical Journal 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Siberian Mathematical Journal 2 International Journal of Mathematics 2 Computational Complexity 2 Journal of Lie Theory 2 Algebra & Number Theory 1 Algebra i Logika 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Computational Mathematics and Modeling 1 Journal of Global Optimization 1 Geometric and Functional Analysis. GAFA 1 Journal of Algebraic Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 The Electronic Journal of Combinatorics 1 Representation Theory 1 Journal of Group Theory 1 Differential Equations 1 Foundations of Computational Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Chebyshevskiĭ Sbornik 1 São Paulo Journal of Mathematical Sciences 1 Groups, Complexity, Cryptology 1 SIAM Journal on Applied Algebra and Geometry 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 27 Fields 98 Associative rings and algebras (16-XX) 65 Group theory and generalizations (20-XX) 60 Algebraic geometry (14-XX) 56 Commutative algebra (13-XX) 47 Nonassociative rings and algebras (17-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 18 Combinatorics (05-XX) 10 Number theory (11-XX) 9 Computer science (68-XX) 6 Differential geometry (53-XX) 5 Category theory; homological algebra (18-XX) 4 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 4 Information and communication theory, circuits (94-XX) 3 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Systems theory; control (93-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year