×

zbMATH — the first resource for mathematics

Sergeev, Aleksandr Nikolaevich

Compute Distance To:
Author ID: sergeev.alexander-n Recent zbMATH articles by "Sergeev, Aleksandr Nikolaevich"
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

Publications by Year

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 0573.17002
Sergeev, A. N.
66
1985
Deformed quantum Calogero-Moser problems and Lie superalgebras. Zbl 1062.81097
Sergeev, A. N.; Veselov, A. P.
30
2004
An analog of the classical invariant theory for Lie superalgebras. I, II. Zbl 1002.17002
Sergeev, Alexander
27
2001
The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\). Zbl 0539.17003
Sergeev, A. N.
27
1983
The Howe duality and the projective representations of symmetric groups. Zbl 0999.17014
Sergeev, Alexander
22
1999
The invariant polynomials on simple Lie superalgebras. Zbl 0999.17016
Sergeev, Alexander
21
1999
Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. Zbl 1069.05076
Sergeev, A. N.; Veselov, A. P.
20
2005
\(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials. Zbl 1220.33014
Sergeev, A. N.; Veselov, A. P.
16
2009
Calogero operator and Lie superalgebras. Zbl 1039.81028
Sergeev, A. N.
12
2002
Dunkl operators at infinity and Calogero-Moser systems. Zbl 1329.81433
Sergeev, Alexander N.; Veselov, Alexander P.
10
2015
Casimir eigenvalues for universal Lie algebra. Zbl 1331.17007
Mkrtchyan, R. L.; Sergeev, A. N.; Veselov, A. P.
10
2012
Invariant polynomial functions on Lie superalgebras. Zbl 0501.17003
Sergeev, A. N.
10
1982
Jacobi-Trudy formula for generalized Schur polynomials. Zbl 1297.05244
Sergeev, 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 0542.17002
Sergeev, A. N.
9
1984
Grothendieck rings of basic classical Lie superalgebras. Zbl 1278.17006
Sergeev, Alexander N.; Veselov, Alexander P.
8
2011
Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials. Zbl 1180.33024
Sergeev, A. N.; Veselov, A. P.
7
2009
Centralizer construction of the Yangian of the queer Lie superalgebra. Zbl 1165.17008
Nazarov, Maxim; Sergeev, Alexander
7
2006
Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems. Zbl 1430.17034
Sergeev, A. N.; Veselov, A. P.
6
2017
Jack-Laurent symmetric functions. Zbl 1316.05124
Sergeev, A. N.; Veselov, A. P.
6
2015
Jack-Laurent symmetric functions for special values of parameters. Zbl 1343.05158
Sergeev, A. N.; Veselov, A. P.
5
2016
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters. Zbl 1188.33019
Kasatani, M.; Miwa, T.; Sergeev, A. N.; Veselov, A. P.
5
2006
Superanalogs of the Calogero operators and Jack polynomials. Zbl 0972.35114
Sergeev, A.
5
2001
Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021
Leites, D. A.; Sergeev, A. N.
5
2000
Irreducible representations of solvable Lie superalgebras. Zbl 0999.17017
Sergeev, Alexander
5
1999
Euler characters and super Jacobi polynomials. Zbl 1287.17021
Sergeev, A. N.; Veselov, A. P.
4
2011
Analogue of the classical invariant theory for Lie superalgebras. Zbl 0838.17036
Sergeev, 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 1196.20017
Vershik, A. M.; Sergeev, A. N.
2
2008
Projective Schur functions as bispherical functions on certain homogeneous superspaces. Zbl 1082.17008
Sergeev, Alexander
2
2003
Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301
Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A.
2
2000
Pieri formulae and specialisation of super Jacobi polynomials. Zbl 07176297
Sergeev, Aleksandr Nikolaevich; Zharinov, Egor Dmitrievich
1
2019
Lie superalgebras and Calogero-Moser-Sutherland systems. Zbl 1422.17014
Sergeev, A. N.
1
2018
Orbits and invariants of super Weyl groupoid. Zbl 1405.17021
Sergeev, Alexander N.; Veselov, Alexander P.
1
2017
Quantum Calogero-Moser systems: a view from infinity. Zbl 1241.81096
Sergeev, Alexander N.; Veselov, Alexander P.
1
2010
Enveloping algebra of \(\text{GL}(3)\) and orthogonal polynomials. Zbl 1248.17009
Sergeev, Alexander
1
2001
Enveloping superalgebra \(U(\mathfrak{osp}(1\mid 2))\) and orthogonal polynomials in discrete indeterminate. Zbl 1049.17009
Sergeev, A.
1
2001
Pieri formulae and specialisation of super Jacobi polynomials. Zbl 07176297
Sergeev, Aleksandr Nikolaevich; Zharinov, Egor Dmitrievich
1
2019
Lie superalgebras and Calogero-Moser-Sutherland systems. Zbl 1422.17014
Sergeev, A. N.
1
2018
Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems. Zbl 1430.17034
Sergeev, A. N.; Veselov, A. P.
6
2017
Orbits and invariants of super Weyl groupoid. Zbl 1405.17021
Sergeev, Alexander N.; Veselov, Alexander P.
1
2017
Jack-Laurent symmetric functions for special values of parameters. Zbl 1343.05158
Sergeev, A. N.; Veselov, A. P.
5
2016
Dunkl operators at infinity and Calogero-Moser systems. Zbl 1329.81433
Sergeev, Alexander N.; Veselov, Alexander P.
10
2015
Jack-Laurent symmetric functions. Zbl 1316.05124
Sergeev, A. N.; Veselov, A. P.
6
2015
Jacobi-Trudy formula for generalized Schur polynomials. Zbl 1297.05244
Sergeev, A. N.; Veselov, A. P.
9
2014
Casimir eigenvalues for universal Lie algebra. Zbl 1331.17007
Mkrtchyan, R. L.; Sergeev, A. N.; Veselov, A. P.
10
2012
Grothendieck rings of basic classical Lie superalgebras. Zbl 1278.17006
Sergeev, Alexander N.; Veselov, Alexander P.
8
2011
Euler characters and super Jacobi polynomials. Zbl 1287.17021
Sergeev, A. N.; Veselov, A. P.
4
2011
Quantum Calogero-Moser systems: a view from infinity. Zbl 1241.81096
Sergeev, Alexander N.; Veselov, Alexander P.
1
2010
\(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials. Zbl 1220.33014
Sergeev, A. N.; Veselov, A. P.
16
2009
Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials. Zbl 1180.33024
Sergeev, 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 1196.20017
Vershik, A. M.; Sergeev, A. N.
2
2008
Centralizer construction of the Yangian of the queer Lie superalgebra. Zbl 1165.17008
Nazarov, Maxim; Sergeev, Alexander
7
2006
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters. Zbl 1188.33019
Kasatani, M.; Miwa, T.; Sergeev, A. N.; Veselov, A. P.
5
2006
Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. Zbl 1069.05076
Sergeev, A. N.; Veselov, A. P.
20
2005
Deformed quantum Calogero-Moser problems and Lie superalgebras. Zbl 1062.81097
Sergeev, A. N.; Veselov, A. P.
30
2004
Projective Schur functions as bispherical functions on certain homogeneous superspaces. Zbl 1082.17008
Sergeev, Alexander
2
2003
Calogero operator and Lie superalgebras. Zbl 1039.81028
Sergeev, A. N.
12
2002
An analog of the classical invariant theory for Lie superalgebras. I, II. Zbl 1002.17002
Sergeev, Alexander
27
2001
Superanalogs of the Calogero operators and Jack polynomials. Zbl 0972.35114
Sergeev, A.
5
2001
Enveloping algebra of \(\text{GL}(3)\) and orthogonal polynomials. Zbl 1248.17009
Sergeev, Alexander
1
2001
Enveloping superalgebra \(U(\mathfrak{osp}(1\mid 2))\) and orthogonal polynomials in discrete indeterminate. Zbl 1049.17009
Sergeev, A.
1
2001
Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021
Leites, D. A.; Sergeev, A. N.
5
2000
Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301
Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A.
2
2000
The Howe duality and the projective representations of symmetric groups. Zbl 0999.17014
Sergeev, Alexander
22
1999
The invariant polynomials on simple Lie superalgebras. Zbl 0999.17016
Sergeev, Alexander
21
1999
Irreducible representations of solvable Lie superalgebras. Zbl 0999.17017
Sergeev, Alexander
5
1999
Analogue of the classical invariant theory for Lie superalgebras. Zbl 0838.17036
Sergeev, 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 0573.17002
Sergeev, A. N.
66
1985
Representations of the Lie superalgebras \({\mathfrak gl}(n,m)\) and Q(n) on the space of tensors. Zbl 0542.17002
Sergeev, A. N.
9
1984
The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\). Zbl 0539.17003
Sergeev, A. N.
27
1983
Invariant polynomial functions on Lie superalgebras. Zbl 0501.17003
Sergeev, A. N.
10
1982
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