Edit Profile Sergeev, Aleksandr Nikolaevich Compute Distance To: Compute Author ID: sergeev.alexander-n Published as: Sergeev, A.; Sergeev, A. N.; Sergeev, Aleksandr Nikolaevich; Sergeev, Alexander; Sergeev, Alexander N.; Sergeyev, A. External Links: MGP · Math-Net.Ru · Wikidata · ORCID Documents Indexed: 55 Publications since 1982 all top 5 Co-Authors 15 single-authored 15 Veselov, Alexander Petrovich 9 Gvozdev, Aleksandr Evgen’evich 8 Maliĭ, Dmitriĭ Vladimirovich 5 Kutepov, Sergeĭ Nikolaevich 4 Medvedev, Pavel Nikolaevich 4 Zhuravlev, Gennadiĭ Modestovich 3 Chukanov, Aleksandr Nikolaevich 3 Makarov, Éduard Sergeevich 2 Breki, Aleksandr Dzhalyul’evich 2 Kolmakov, Alekseĭ Georgievich 2 Leites, Dimitry A. 2 Movsisyan, Gevorg S. 2 Sapozhnikov, Sergeĭ Vladimirovich 2 Yakovenko, Aleksandra Aleksandrovna 1 Adler, Vsevolod Eduardovich 1 Berest, Yuri Yu. 1 Bukhshtaber, Viktor Matveevich 1 Burdík, Čestmír 1 Chalykh, Oleg A. 1 Dobrovol’skiĭ, Nikolai Nikolaevich 1 Dorokhin, Yuriĭ Sergeevich 1 Dubrovin, Boris Anatol’evich 1 Etingof, Pavel Il’ich 1 Feigin, Misha V. 1 Felder, J. 1 Ferapontov, Evgeny Vladimirovich 1 Grinevich, Pëtr Georgievich 1 Grozman, Pavel 1 Kalinin, Anton Alekseevich 1 Kasatani, Masahiro 1 Krichever, Igor’ Moiseevich 1 Minaev, Igor’ Vasil’evich 1 Miwa, Tetsuji 1 Mkrtchyan, Ruben L. 1 Nazarov, Maxim Leonidovich 1 Novikov, Sergeĭ Petrovich 1 Sergeev, Nikolaĭ Nikolaevich 1 Shirokiĭ, Il’ya Fedorovich 1 Tsoĭ, Evgeniĭ Vladimirovich 1 Ushakov, Mikhaĭl Vital’evich 1 Vershik, Anatoliĭ Moiseevich 1 Zharinov, Egor Dmitrievich all top 5 Serials 9 Chebyshevskiĭ Sbornik 4 Advances in Mathematics 3 Theoretical and Mathematical Physics 3 Functional Analysis and its Applications 3 Representation Theory 2 Communications in Mathematical Physics 2 IMRN. International Mathematics Research Notices 2 Journal of Nonlinear Mathematical Physics 2 Moscow Mathematical Journal 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Russian Mathematical Surveys 1 Glasgow Mathematical Journal 1 Journal of Algebra 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Doklady Bolgarskoĭ Akademii Nauk 1 Mathematics of the USSR, Sbornik 1 Annals of Mathematics. Second Series all top 5 Fields 29 Nonassociative rings and algebras (17-XX) 12 Quantum theory (81-XX) 10 Combinatorics (05-XX) 8 Mechanics of deformable solids (74-XX) 7 Special functions (33-XX) 5 Topological groups, Lie groups (22-XX) 3 Associative rings and algebras (16-XX) 3 Partial differential equations (35-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 35 Publications have been cited 368 times in 252 Documents Cited by ▼ Year ▼ The tensor algebra of the identity representation as a module over the Lie superalgebras \({\mathfrak Gl}(n,m)\) and Q(n). Zbl 0573.17002Sergeev, A. N. 66 1985 Deformed quantum Calogero-Moser problems and Lie superalgebras. Zbl 1062.81097Sergeev, A. N.; Veselov, A. P. 30 2004 An analog of the classical invariant theory for Lie superalgebras. I, II. Zbl 1002.17002Sergeev, Alexander 27 2001 The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\). Zbl 0539.17003Sergeev, A. N. 27 1983 The Howe duality and the projective representations of symmetric groups. Zbl 0999.17014Sergeev, Alexander 22 1999 The invariant polynomials on simple Lie superalgebras. Zbl 0999.17016Sergeev, Alexander 21 1999 Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. Zbl 1069.05076Sergeev, A. N.; Veselov, A. P. 20 2005 \(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials. Zbl 1220.33014Sergeev, A. N.; Veselov, A. P. 16 2009 Calogero operator and Lie superalgebras. Zbl 1039.81028Sergeev, A. N. 12 2002 Dunkl operators at infinity and Calogero-Moser systems. Zbl 1329.81433Sergeev, Alexander N.; Veselov, Alexander P. 10 2015 Casimir eigenvalues for universal Lie algebra. Zbl 1331.17007Mkrtchyan, R. L.; Sergeev, A. N.; Veselov, A. P. 10 2012 Invariant polynomial functions on Lie superalgebras. Zbl 0501.17003Sergeev, A. N. 10 1982 Jacobi-Trudy formula for generalized Schur polynomials. Zbl 1297.05244Sergeev, A. N.; Veselov, A. P. 9 2014 Representations of the Lie superalgebras \({\mathfrak gl}(n,m)\) and Q(n) on the space of tensors. Zbl 0542.17002Sergeev, A. N. 9 1984 Grothendieck rings of basic classical Lie superalgebras. Zbl 1278.17006Sergeev, Alexander N.; Veselov, Alexander P. 8 2011 Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials. Zbl 1180.33024Sergeev, A. N.; Veselov, A. P. 7 2009 Centralizer construction of the Yangian of the queer Lie superalgebra. Zbl 1165.17008Nazarov, Maxim; Sergeev, Alexander 7 2006 Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems. Zbl 1430.17034Sergeev, A. N.; Veselov, A. P. 6 2017 Jack-Laurent symmetric functions. Zbl 1316.05124Sergeev, A. N.; Veselov, A. P. 6 2015 Jack-Laurent symmetric functions for special values of parameters. Zbl 1343.05158Sergeev, A. N.; Veselov, A. P. 5 2016 Coincident root loci and Jack and Macdonald polynomials for special values of the parameters. Zbl 1188.33019Kasatani, M.; Miwa, T.; Sergeev, A. N.; Veselov, A. P. 5 2006 Superanalogs of the Calogero operators and Jack polynomials. Zbl 0972.35114Sergeev, A. 5 2001 Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021Leites, D. A.; Sergeev, A. N. 5 2000 Irreducible representations of solvable Lie superalgebras. Zbl 0999.17017Sergeev, Alexander 5 1999 Euler characters and super Jacobi polynomials. Zbl 1287.17021Sergeev, A. N.; Veselov, A. P. 4 2011 Analogue of the classical invariant theory for Lie superalgebras. Zbl 0838.17036Sergeev, A. N. 4 1992 A new approach to the representation theory of the symmetric groups. IV: \(\mathbb{Z}_2\)-graded groups and algebras; projective representations of the group \(S_n\). Zbl 1196.20017Vershik, A. M.; Sergeev, A. N. 2 2008 Projective Schur functions as bispherical functions on certain homogeneous superspaces. Zbl 1082.17008Sergeev, Alexander 2 2003 Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A. 2 2000 Pieri formulae and specialisation of super Jacobi polynomials. Zbl 07176297Sergeev, Aleksandr Nikolaevich; Zharinov, Egor Dmitrievich 1 2019 Lie superalgebras and Calogero-Moser-Sutherland systems. Zbl 1422.17014Sergeev, A. N. 1 2018 Orbits and invariants of super Weyl groupoid. Zbl 1405.17021Sergeev, Alexander N.; Veselov, Alexander P. 1 2017 Quantum Calogero-Moser systems: a view from infinity. Zbl 1241.81096Sergeev, Alexander N.; Veselov, Alexander P. 1 2010 Enveloping algebra of \(\text{GL}(3)\) and orthogonal polynomials. Zbl 1248.17009Sergeev, Alexander 1 2001 Enveloping superalgebra \(U(\mathfrak{osp}(1\mid 2))\) and orthogonal polynomials in discrete indeterminate. Zbl 1049.17009Sergeev, A. 1 2001 Pieri formulae and specialisation of super Jacobi polynomials. Zbl 07176297Sergeev, Aleksandr Nikolaevich; Zharinov, Egor Dmitrievich 1 2019 Lie superalgebras and Calogero-Moser-Sutherland systems. Zbl 1422.17014Sergeev, A. N. 1 2018 Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems. Zbl 1430.17034Sergeev, A. N.; Veselov, A. P. 6 2017 Orbits and invariants of super Weyl groupoid. Zbl 1405.17021Sergeev, Alexander N.; Veselov, Alexander P. 1 2017 Jack-Laurent symmetric functions for special values of parameters. Zbl 1343.05158Sergeev, A. N.; Veselov, A. P. 5 2016 Dunkl operators at infinity and Calogero-Moser systems. Zbl 1329.81433Sergeev, Alexander N.; Veselov, Alexander P. 10 2015 Jack-Laurent symmetric functions. Zbl 1316.05124Sergeev, A. N.; Veselov, A. P. 6 2015 Jacobi-Trudy formula for generalized Schur polynomials. Zbl 1297.05244Sergeev, A. N.; Veselov, A. P. 9 2014 Casimir eigenvalues for universal Lie algebra. Zbl 1331.17007Mkrtchyan, R. L.; Sergeev, A. N.; Veselov, A. P. 10 2012 Grothendieck rings of basic classical Lie superalgebras. Zbl 1278.17006Sergeev, Alexander N.; Veselov, Alexander P. 8 2011 Euler characters and super Jacobi polynomials. Zbl 1287.17021Sergeev, A. N.; Veselov, A. P. 4 2011 Quantum Calogero-Moser systems: a view from infinity. Zbl 1241.81096Sergeev, Alexander N.; Veselov, Alexander P. 1 2010 \(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials. Zbl 1220.33014Sergeev, A. N.; Veselov, A. P. 16 2009 Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials. Zbl 1180.33024Sergeev, A. N.; Veselov, A. P. 7 2009 A new approach to the representation theory of the symmetric groups. IV: \(\mathbb{Z}_2\)-graded groups and algebras; projective representations of the group \(S_n\). Zbl 1196.20017Vershik, A. M.; Sergeev, A. N. 2 2008 Centralizer construction of the Yangian of the queer Lie superalgebra. Zbl 1165.17008Nazarov, Maxim; Sergeev, Alexander 7 2006 Coincident root loci and Jack and Macdonald polynomials for special values of the parameters. Zbl 1188.33019Kasatani, M.; Miwa, T.; Sergeev, A. N.; Veselov, A. P. 5 2006 Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. Zbl 1069.05076Sergeev, A. N.; Veselov, A. P. 20 2005 Deformed quantum Calogero-Moser problems and Lie superalgebras. Zbl 1062.81097Sergeev, A. N.; Veselov, A. P. 30 2004 Projective Schur functions as bispherical functions on certain homogeneous superspaces. Zbl 1082.17008Sergeev, Alexander 2 2003 Calogero operator and Lie superalgebras. Zbl 1039.81028Sergeev, A. N. 12 2002 An analog of the classical invariant theory for Lie superalgebras. I, II. Zbl 1002.17002Sergeev, Alexander 27 2001 Superanalogs of the Calogero operators and Jack polynomials. Zbl 0972.35114Sergeev, A. 5 2001 Enveloping algebra of \(\text{GL}(3)\) and orthogonal polynomials. Zbl 1248.17009Sergeev, Alexander 1 2001 Enveloping superalgebra \(U(\mathfrak{osp}(1\mid 2))\) and orthogonal polynomials in discrete indeterminate. Zbl 1049.17009Sergeev, A. 1 2001 Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021Leites, D. A.; Sergeev, A. N. 5 2000 Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A. 2 2000 The Howe duality and the projective representations of symmetric groups. Zbl 0999.17014Sergeev, Alexander 22 1999 The invariant polynomials on simple Lie superalgebras. Zbl 0999.17016Sergeev, Alexander 21 1999 Irreducible representations of solvable Lie superalgebras. Zbl 0999.17017Sergeev, Alexander 5 1999 Analogue of the classical invariant theory for Lie superalgebras. Zbl 0838.17036Sergeev, A. N. 4 1992 The tensor algebra of the identity representation as a module over the Lie superalgebras \({\mathfrak Gl}(n,m)\) and Q(n). Zbl 0573.17002Sergeev, A. N. 66 1985 Representations of the Lie superalgebras \({\mathfrak gl}(n,m)\) and Q(n) on the space of tensors. Zbl 0542.17002Sergeev, A. N. 9 1984 The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\). Zbl 0539.17003Sergeev, A. N. 27 1983 Invariant polynomial functions on Lie superalgebras. Zbl 0501.17003Sergeev, A. N. 10 1982 all cited Publications top 5 cited Publications all top 5 Cited by 268 Authors 14 Sergeev, Aleksandr Nikolaevich 14 Veselov, Alexander Petrovich 13 Cheng, Shun-Jen 12 Serganova, Vera V. 12 Wang, Weiqiang 9 Mkrtchyan, Ruben L. 9 Zhang, Ruibin 8 Brundan, Jonathan 7 Feigin, Misha V. 6 Kwon, Jae-Hoon 6 Langmann, Edwin 5 Gorelik, Maria 5 Lam, Ngau 5 Penkov, Ivan B. 5 Van der Jeugt, Joris 4 Atai, Farrokh 4 Grantcharov, Dimitar 4 Jung, Ji Hye 4 Kang, Seok-Jin 4 Kleshchev, Alexander S. 4 Kujawa, Jonathan R. 4 Lehrer, Gustav Isaac 4 Leites, Dimitry A. 4 Nazarov, Maxim Leonidovich 4 Poletaeva, Elena 4 Yamane, Hiroyuki 3 Candu, Constantin 3 Desrosiers, Patrick 3 Hallnäs, Martin A. 3 Hughes, J. W. B. 3 Khudaverdian, Hovhannes M. 3 Kim, Myungho 3 King, Roger C. 3 Linshaw, Andrew Ross 3 Matushko, M. G. 3 Mitsuhashi, Hideo 3 Sahi, Siddhartha 3 Salmasian, Hadi 3 Stroppel, Catharina H. 3 Sussan, Joshua 3 Wan, Jinkui 2 Aizenbud, Inna Entova 2 Alldridge, Alexander 2 Batra, Punita 2 Benkart, Georgia M. 2 Bergeron, Nantel 2 Bouarroudj, Sofiane 2 Coulembier, Kevin 2 Creutzig, Thomas 2 Cuenca, Cesar 2 Du, Jie 2 Emsiz, Erdal 2 Feĭgin, Boris L’vovich 2 Gaberdiel, Matthias R. 2 Guay, Nicolas 2 Heidersdorf, Thorsten 2 Hill, David C. 2 Jing, Naihuan 2 Kashiwara, Masaki 2 Khongsap, Ta 2 Khoroshkin, Sergey M. 2 Lechtenfeld, Olaf 2 Li, Huilan 2 Liu, Dong 2 Mathonet, Pierre 2 Mazorchuk, Volodymyr 2 Moon, Dongho 2 Nekrasov, Nikita Alexandrovich 2 Ol’shanskiĭ, Grigoriĭ Iosifovich 2 Palev, Tchavdar D. 2 Patureau-Mirand, Bertrand 2 Pei, Yufeng 2 Radoux, Fabian 2 Scheunert, Manfred 2 Semikhatov, Alexei M. 2 Sergeev, Viktor Mikhaĭlovich 2 Stembridge, John R. 2 Stoilova, Nedjalka I. 2 Thierry-Mieg, Jean 2 Trishin, Ivan M. 2 van Diejen, Jan Felipe 2 Voronov, Theodore 2 Xia, Limeng 2 Zubkov, Alexandr N. 1 Abdesselam, Abdelmalek 1 Alexandrov, Alexander Sergeevich 1 Angiono, Iván Ezequiel 1 Antoniou, Georgios 1 Arakawa, Tomoyuki 1 Assiotis, Theodoros 1 Avetisyan, M. Y. 1 Bagci, Irfan 1 Balagović, Martina 1 Baltera, Constance 1 Barter, Daniel 1 Ben Saïd, Salem 1 Berele, Allan 1 Bershteĭn, Mikhaĭl Aleksandrovich 1 Bonneux, Niels 1 Bostelmann, Henning ...and 168 more Authors all top 5 Cited in 70 Serials 27 Journal of Algebra 26 Advances in Mathematics 22 Journal of Mathematical Physics 14 Communications in Mathematical Physics 13 Journal of High Energy Physics 10 Letters in Mathematical Physics 9 Communications in Algebra 8 Journal of Pure and Applied Algebra 6 Mathematische Zeitschrift 6 Selecta Mathematica. New Series 6 Algebras and Representation Theory 5 Theoretical and Mathematical Physics 5 Journal of Algebraic Combinatorics 5 Journal of Algebra and its Applications 4 Representation Theory 4 Journal of Nonlinear Mathematical Physics 3 Nuclear Physics. B 3 Advances in Applied Mathematics 3 Journal of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Transformation Groups 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Physics A: Mathematical and Theoretical 2 Annales de l’Institut Fourier 2 Functional Analysis and its Applications 2 Journal of Soviet Mathematics 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Arnold Mathematical Journal 1 Bulletin of the Australian Mathematical Society 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Algebra and Logic 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Siberian Mathematical Journal 1 Constructive Approximation 1 \(K\)-Theory 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Annales Mathématiques Blaise Pascal 1 Electronic Journal of Probability 1 Mathematical Physics, Analysis and Geometry 1 Geometry & Topology 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Czechoslovak Journal of Physics 1 Journal of the Australian Mathematical Society 1 International Journal of Number Theory 1 Algebra & Number Theory 1 Kyoto Journal of Mathematics 1 Random Matrices: Theory and Applications 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics all top 5 Cited in 36 Fields 157 Nonassociative rings and algebras (17-XX) 58 Quantum theory (81-XX) 51 Group theory and generalizations (20-XX) 49 Combinatorics (05-XX) 35 Associative rings and algebras (16-XX) 25 Special functions (33-XX) 17 Algebraic geometry (14-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Category theory; homological algebra (18-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Topological groups, Lie groups (22-XX) 9 Differential geometry (53-XX) 7 Commutative algebra (13-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Partial differential equations (35-XX) 5 Manifolds and cell complexes (57-XX) 5 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 3 \(K\)-theory (19-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline