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Zelevinskiĭ, Andreĭ V.

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Author ID: zelevinsky.andrei-v Recent zbMATH articles by "Zelevinskiĭ, Andreĭ V."
Published as: Zelevinsky, Andrei; Zelevinskij, A. V.; Zelevinskii, A. V.; Zelevinsky, A. V.; Zelevinskiĭ, A. V.; Zelevinsky, Andrei V.; Zelevinsky, Andrey V.; Zelevinskii, A.; Zelevinskij, A.; Zelevinsky, A.
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 116 Publications since 1973, including 3 Books
4 Further Contributions
Biographic References: 5 Publications
Co-Authors: 48 Co-Authors with 91 Joint Publications
1,607 Co-Co-Authors
all top 5

Serials

15 Functional Analysis and its Applications
10 Advances in Mathematics
10 Soviet Mathematics. Doklady
7 Funktsional’nyĭ Analiz i ego Prilozheniya
5 Journal of Algebraic Combinatorics
4 Uspekhi Matematicheskikh Nauk [N. S.]
3 Duke Mathematical Journal
3 Journal of Algebra
3 Journal of the American Mathematical Society
3 IMRN. International Mathematics Research Notices
3 Notices of the American Mathematical Society
2 Russian Mathematical Surveys
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Selecta Mathematica. New Series
2 Moscow Mathematical Journal
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Annales de l’Institut Fourier
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Discrete & Computational Geometry
1 Leningrad Mathematical Journal
1 Proceedings of the National Academy of Sciences of the United States of America
1 Journal of Algebraic Geometry
1 The Electronic Journal of Combinatorics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Documenta Mathematica
1 Transformation Groups
1 Annals of Combinatorics
1 Annals of Mathematics. Second Series
1 Pure and Applied Mathematics Quarterly
1 Lecture Notes in Mathematics
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 6,114 times in 3,426 Documents Cited by Year
Cluster algebras. I: Foundations. Zbl 1021.16017
Fomin, Sergey; Zelevinsky, Andrei
730
2002
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
717
1994
Cluster algebras. II: Finite type classification. Zbl 1054.17024
Fomin, Sergey; Zelevinsky, Andrei
343
2003
Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014
Zelevinsky, A. V.
314
1980
Induced representations of reductive \(p\)-adic groups. I. Zbl 0412.22015
Bernstein, I. N.; Zelevinsky, A. V.
306
1977
Cluster algebras. IV: Coefficients. Zbl 1127.16023
Fomin, Sergey; Zelevinsky, Andrei
283
2007
Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
201
2005
\(Y\)-systems and generalized associahedra. Zbl 1057.52003
Fomin, Sergey; Zelevinsky, Andrei
174
2003
Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
171
2008
Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009
Zelevinsky, Andrey V.
138
1981
Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
134
2010
Tensor product multiplicities, canonical and totally positive varieties. Zbl 1061.17006
Berenstein, Arkady; Zelevinsky, Andrei
118
2001
The Laurent phenomenon. Zbl 1012.05012
Fomin, Sergey; Zelevinsky, Andrei
115
2002
Quantum cluster algebras. Zbl 1124.20028
Berenstein, Arkady; Zelevinsky, Andrei
114
2005
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
112
2008
Double Bruhat cells and total positivity. Zbl 0913.22011
Fomin, Sergey; Zelevinsky, Andrei
110
1999
Parametrizations of canonical bases and totally positive matrices. Zbl 0966.17011
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
100
1996
Representations of the group \(\text{GL}(n,F)\) where \(F\) is a non-Archimedean local field. Zbl 0348.43007
Bernshteĭn, I. N.; Zelevinskiĭ, A. V.
95
1976
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
86
1990
Total positivity: tests and parametrizations. Zbl 1052.15500
Fomin, Sergey; Zelevinsky, Andrei
83
2000
Generalized associahedra via quiver representations. Zbl 1042.52007
Marsh, Robert; Reineke, Markus; Zelevinsky, Andrei
77
2003
Representations of the group \(\text{GL}(n,F),\) where \(F\) is a local non-archimedean field. Zbl 0342.43017
Bernshteĭn, I. N.; Zelevinskiĭ, A. V.
72
1976
Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
70
1989
Polytopal realizations of generalized associahedra. Zbl 1018.52007
Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei
65
2002
Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014
Nakashima, Toshiki; Zelevinsky, Andrei
62
1997
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
58
2015
Total positivity in Schubert varieties. Zbl 0891.20030
Berenstein, Arkady; Zelevinsky, Andrei
55
1997
Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021
Leclerc, Bernard; Zelevinsky, Andrei
51
1998
On tropical dualities in cluster algebras. Zbl 1317.13054
Nakanishi, Tomoki; Zelevinsky, Andrei
48
2012
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
47
1992
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018
Sherman, Paul; Zelevinsky, Andrei
47
2004
Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070
Barot, Michael; Geiss, Christof; Zelevinsky, Andrei
47
2006
Triple multiplicities for \(s\ell (r+1)\) and the spectrum of the exterior algebra of the adjoint representation. Zbl 0799.17005
Berenstein, A. D.; Zelevinsky, A. V.
44
1992
String bases for quantum groups of type \(A_ r\). Zbl 0794.17007
Berenstein, Arkady; Zelevinsky, Andrei
43
1993
A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence. Zbl 0464.20010
Zelevinsky, A. V.
42
1981
Multiple flag varieties of finite type. Zbl 0951.14034
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
39
1999
Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108
Fomin, Sergey; Zelevinsky, Andrei
38
2003
Maximal minors and their leading terms. Zbl 0776.13009
Sturmfels, Bernd; Zelevinsky, Andrei V.
33
1993
Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006
Berenshtein, A. D.; Zelevinskii, A. V.
33
1988
Laurent expansions in cluster algebras via quiver representations. Zbl 1133.16012
Caldero, Philippe; Zelevinsky, Andrei
31
2006
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
30
1991
Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006
Berenstein, Arkady; Zelevinsky, Andrei
29
1996
Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010
Yang, Shih-Wei; Zelevinsky, Andrei
28
2008
Nested complexes and their polyhedral realizations. Zbl 1109.52010
Zelevinsky, Andrei
26
2006
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
25
1992
Greedy elements in rank 2 cluster algebras. Zbl 1295.13031
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
21
2014
p-adic analog of the Kazhdan-Lusztig hypothesis. Zbl 0476.22014
Zelevinskij, A. V.
21
1981
Symplectic multiple flag varieties of finite type. Zbl 0996.14023
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
19
2000
Connected components of real double Bruhat cells. Zbl 0978.20021
Zelevinsky, Andrei
19
2000
On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups. Zbl 1006.22015
Kogan, Mikhail; Zelevinsky, Andrei
19
2002
Combinatorics of maximal minors. Zbl 0794.13021
Bernstein, David; Zelevinsky, Andrei
18
1993
Littlewood-Richardson semigroups. Zbl 0935.05094
Zelevinsky, Andrei
17
1999
Multigraded resultants of Sylvester type. Zbl 0813.13018
Sturmfels, Bernd; Zelevinsky, Andrei V.
16
1994
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
16
1990
Models of representations of classical groups and their hidden symmetries. Zbl 0573.22008
Gel’fand, I. M.; Zelevinskiĭ, A. V.
16
1984
Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
15
1990
Singularities of hyperdeterminants. Zbl 0853.14001
Weyman, Jerzy; Zelevinsky, Andrei
15
1996
Two remarks on graded nilpotent classes. Zbl 0577.20032
Zelevinskiĭ, A. V.
15
1985
Triangular bases in quantum cluster algebras. Zbl 1303.13026
Berenstein, Arkady; Zelevinsky, Andrei
14
2014
Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009
Knight, Harold; Zelevinsky, Andrei
13
1996
Multiplicities of points on Schubert varieties in Grassmannians. Zbl 1015.14025
Rosenthal, Joachim; Zelevinsky, Andrei
13
2001
Small resolutions of singularities of Schubert varieties. Zbl 0559.14006
Zelevinskij, A. V.
13
1983
Resolutions, dual pairs, and character formulas. Zbl 0636.17003
Zelevinskij, A. V.
12
1987
Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
12
1990
Determinantal formulas for multigraded resultants. Zbl 0816.13007
Weyman, Jerzy; Zelevinsky, Andrei
11
1994
A p-adic analogue of a conjecture of Kazhdan-Lusztig. Zbl 0463.22013
Zelevinskij, A. V.
11
1981
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
10
1993
Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V.
10
1987
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
10
1988
Multiplicative properties of projectively dual varieties. Zbl 0839.14039
Weyman, Jerzy; Zelevinsky, Andrei
10
1994
Recognizing Schubert cells. Zbl 1056.14504
Fomin, Sergey; Zelevinsky, Andrei
9
2000
General hypergeometric functions on complex Grassmannians. Zbl 0625.33006
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V.
9
1987
A geometric characterization of Coxeter matroids. Zbl 0927.05020
Serganova, V. V.; Vince, A.; Zelevinsky, A.
9
1997
Models of representations of classical groups and their latent symmetries. Zbl 0556.22003
Gel’fand, I. M.; Zelevinskii, A. V.
9
1984
Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022
Springer, T. A.; Zelevinsky, A. V.
9
1984
Strongly primitive species with potentials. I: Mutations. Zbl 1378.16024
Labardini-Fragoso, Daniel; Zelevinsky, Andrei
8
2016
Totally nonnegative and oscillatory elements in semisimple groups. Zbl 0953.22016
Fomin, Sergey; Zelevinsky, Andrei
8
2000
Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015
Zelevinsky, Andrei
8
2007
What is \(\dots\) a cluster algebra? Zbl 1130.13301
Zelevinsky, Andrei
8
2007
An arrangement of real hyperplanes and the partition function connected with it. Zbl 0662.51010
Alekseevskaya, T. V.; Gel’fand, I. M.; Zelevinskij, A. V.
7
1988
Simply laced Coxeter groups and groups generated by symplectic transvections. Zbl 0998.20038
Shapiro, Boris; Shapiro, Michael; Vainshtein, Alek; Zelevinsky, Andrei
7
2000
Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Zbl 0619.33004
Gel’fand, I. M.; Zelevinskij, A. V.
7
1986
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
6
1989
From Littlewood-Richardson coefficients to cluster algebras in three lectures. Zbl 1155.17303
Zelevinsky, Andrei
6
2002
Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
5
2014
Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018
Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei
5
2014
When is the multiplicity of a weight equal to 1? Zbl 0718.17008
Berenshtejn, A. D.; Zelevinskij, A. V.
4
1990
Induzierte Darstellungen der Gruppe \(\text{GL}(n)\) über einem \(\mathfrak p\)-adischen Körper. Zbl 0335.22013
Bernstein, I. N.; Zelevinskiĭ, A. V.
4
1976
Classification of irreducible noncuspidal representations of \(GL_n\) over the \(p\)-adic field. Zbl 0371.22015
Zelevinskii, A. V.
4
1977
Multisegment duality, canonical bases and total positivity. Zbl 0918.05104
Zelevinsky, Andrei
3
1998
General hypergeometric functions on complex Grassmannians. Zbl 0614.33008
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskii, A. V.
3
1987
Projectively dual varieties and hyperdeterminants. Zbl 0715.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
3
1989
A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
3
1990
Induced representations of the group \(\text{GL}(n)\) over a \(\mathfrak p\)-adic field. Zbl 0342.22014
Bernstein, I. N.; Zelevinskiĭ, A. V.
3
1977
Classification of irreducible non-cuspidal representations of the group \(GL_n\) over a \(p\)-adic field. Zbl 0363.22012
Zelevinskii, A. V.
3
1977
Involutions on Gel’fand-Tsetlin schemes and multiplicities in skew \(GL_ n\)-modules. Zbl 0674.20024
Berenshtejn, A. D.; Zelevinskij, A. V.
2
1988
Canonical basis in irreducible representations of \({\mathfrak gl}_ 3\) and its applications. Zbl 0668.17006
Gel’fand, I.; Zelevinskij, A.
1
1986
The base affine space and canonical basis in irreducible representations of the group \(Sp_ 4\). Zbl 0672.22013
Zelevinskij, A. V.; Retakh, V. S.
1
1988
Multiplicities and proper bases for \({\mathfrak gl}_ n\). Zbl 0677.17003
Gel’fand, I. M.; Zelevinskii, A.
1
1986
Polyhedra in the scheme space and the canonical basis in irreducible representations of \({\mathfrak gl}_ 3\). Zbl 0606.17006
Gel’fand, I. M.; Zelevinskij, A. V.
1
1985
2018 Leroy P. Steele Prizes. Zbl 1390.01053
1
2018
Strongly primitive species with potentials. I: Mutations. Zbl 1378.16024
Labardini-Fragoso, Daniel; Zelevinsky, Andrei
8
2016
The existence of greedy bases in rank 2 quantum cluster algebras. Zbl 1397.16022
Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei
1
2016
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
58
2015
Greedy elements in rank 2 cluster algebras. Zbl 1295.13031
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
21
2014
Triangular bases in quantum cluster algebras. Zbl 1303.13026
Berenstein, Arkady; Zelevinsky, Andrei
14
2014
Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
5
2014
Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018
Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei
5
2014
On tropical dualities in cluster algebras. Zbl 1317.13054
Nakanishi, Tomoki; Zelevinsky, Andrei
48
2012
Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
134
2010
Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
171
2008
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
112
2008
Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010
Yang, Shih-Wei; Zelevinsky, Andrei
28
2008
Cluster algebras. IV: Coefficients. Zbl 1127.16023
Fomin, Sergey; Zelevinsky, Andrei
283
2007
Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015
Zelevinsky, Andrei
8
2007
What is \(\dots\) a cluster algebra? Zbl 1130.13301
Zelevinsky, Andrei
8
2007
Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070
Barot, Michael; Geiss, Christof; Zelevinsky, Andrei
47
2006
Laurent expansions in cluster algebras via quiver representations. Zbl 1133.16012
Caldero, Philippe; Zelevinsky, Andrei
31
2006
Nested complexes and their polyhedral realizations. Zbl 1109.52010
Zelevinsky, Andrei
26
2006
Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
201
2005
Quantum cluster algebras. Zbl 1124.20028
Berenstein, Arkady; Zelevinsky, Andrei
114
2005
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018
Sherman, Paul; Zelevinsky, Andrei
47
2004
Cluster algebras: origins, results and conjectures. Zbl 1066.22016
Zelevinsky, Andrei
1
2004
Cluster algebras. II: Finite type classification. Zbl 1054.17024
Fomin, Sergey; Zelevinsky, Andrei
343
2003
\(Y\)-systems and generalized associahedra. Zbl 1057.52003
Fomin, Sergey; Zelevinsky, Andrei
174
2003
Generalized associahedra via quiver representations. Zbl 1042.52007
Marsh, Robert; Reineke, Markus; Zelevinsky, Andrei
77
2003
Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108
Fomin, Sergey; Zelevinsky, Andrei
38
2003
Cluster algebras. I: Foundations. Zbl 1021.16017
Fomin, Sergey; Zelevinsky, Andrei
730
2002
The Laurent phenomenon. Zbl 1012.05012
Fomin, Sergey; Zelevinsky, Andrei
115
2002
Polytopal realizations of generalized associahedra. Zbl 1018.52007
Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei
65
2002
On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups. Zbl 1006.22015
Kogan, Mikhail; Zelevinsky, Andrei
19
2002
From Littlewood-Richardson coefficients to cluster algebras in three lectures. Zbl 1155.17303
Zelevinsky, Andrei
6
2002
Tensor product multiplicities, canonical and totally positive varieties. Zbl 1061.17006
Berenstein, Arkady; Zelevinsky, Andrei
118
2001
Multiplicities of points on Schubert varieties in Grassmannians. Zbl 1015.14025
Rosenthal, Joachim; Zelevinsky, Andrei
13
2001
Total positivity: tests and parametrizations. Zbl 1052.15500
Fomin, Sergey; Zelevinsky, Andrei
83
2000
Symplectic multiple flag varieties of finite type. Zbl 0996.14023
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
19
2000
Connected components of real double Bruhat cells. Zbl 0978.20021
Zelevinsky, Andrei
19
2000
Recognizing Schubert cells. Zbl 1056.14504
Fomin, Sergey; Zelevinsky, Andrei
9
2000
Totally nonnegative and oscillatory elements in semisimple groups. Zbl 0953.22016
Fomin, Sergey; Zelevinsky, Andrei
8
2000
Simply laced Coxeter groups and groups generated by symplectic transvections. Zbl 0998.20038
Shapiro, Boris; Shapiro, Michael; Vainshtein, Alek; Zelevinsky, Andrei
7
2000
Double Bruhat cells and total positivity. Zbl 0913.22011
Fomin, Sergey; Zelevinsky, Andrei
110
1999
Multiple flag varieties of finite type. Zbl 0951.14034
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
39
1999
Littlewood-Richardson semigroups. Zbl 0935.05094
Zelevinsky, Andrei
17
1999
Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021
Leclerc, Bernard; Zelevinsky, Andrei
51
1998
Multisegment duality, canonical bases and total positivity. Zbl 0918.05104
Zelevinsky, Andrei
3
1998
Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014
Nakashima, Toshiki; Zelevinsky, Andrei
62
1997
Total positivity in Schubert varieties. Zbl 0891.20030
Berenstein, Arkady; Zelevinsky, Andrei
55
1997
A geometric characterization of Coxeter matroids. Zbl 0927.05020
Serganova, V. V.; Vince, A.; Zelevinsky, A.
9
1997
Parametrizations of canonical bases and totally positive matrices. Zbl 0966.17011
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
100
1996
Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006
Berenstein, Arkady; Zelevinsky, Andrei
29
1996
Singularities of hyperdeterminants. Zbl 0853.14001
Weyman, Jerzy; Zelevinsky, Andrei
15
1996
Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009
Knight, Harold; Zelevinsky, Andrei
13
1996
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
717
1994
Multigraded resultants of Sylvester type. Zbl 0813.13018
Sturmfels, Bernd; Zelevinsky, Andrei V.
16
1994
Determinantal formulas for multigraded resultants. Zbl 0816.13007
Weyman, Jerzy; Zelevinsky, Andrei
11
1994
Multiplicative properties of projectively dual varieties. Zbl 0839.14039
Weyman, Jerzy; Zelevinsky, Andrei
10
1994
Simple vertices of maximal minor polytopes. Zbl 0797.52008
Santhanakrishnan, Prakash; Zelevinsky, Andrei
1
1994
String bases for quantum groups of type \(A_ r\). Zbl 0794.17007
Berenstein, Arkady; Zelevinsky, Andrei
43
1993
Maximal minors and their leading terms. Zbl 0776.13009
Sturmfels, Bernd; Zelevinsky, Andrei V.
33
1993
Combinatorics of maximal minors. Zbl 0794.13021
Bernstein, David; Zelevinsky, Andrei
18
1993
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
10
1993
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
47
1992
Triple multiplicities for \(s\ell (r+1)\) and the spectrum of the exterior algebra of the adjoint representation. Zbl 0799.17005
Berenstein, A. D.; Zelevinsky, A. V.
44
1992
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
25
1992
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
30
1991
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
1
1991
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
86
1990
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
16
1990
Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
15
1990
Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
12
1990
When is the multiplicity of a weight equal to 1? Zbl 0718.17008
Berenshtejn, A. D.; Zelevinskij, A. V.
4
1990
A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
3
1990
Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
70
1989
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
6
1989
Projectively dual varieties and hyperdeterminants. Zbl 0715.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
3
1989
Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006
Berenshtein, A. D.; Zelevinskii, A. V.
33
1988
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
10
1988
An arrangement of real hyperplanes and the partition function connected with it. Zbl 0662.51010
Alekseevskaya, T. V.; Gel’fand, I. M.; Zelevinskij, A. V.
7
1988
Involutions on Gel’fand-Tsetlin schemes and multiplicities in skew \(GL_ n\)-modules. Zbl 0674.20024
Berenshtejn, A. D.; Zelevinskij, A. V.
2
1988
The base affine space and canonical basis in irreducible representations of the group \(Sp_ 4\). Zbl 0672.22013
Zelevinskij, A. V.; Retakh, V. S.
1
1988
Resolutions, dual pairs, and character formulas. Zbl 0636.17003
Zelevinskij, A. V.
12
1987
Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V.
10
1987
General hypergeometric functions on complex Grassmannians. Zbl 0625.33006
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V.
9
1987
General hypergeometric functions on complex Grassmannians. Zbl 0614.33008
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskii, A. V.
3
1987
Resolutions, dual pairs, and formulae for characters. Zbl 0631.17003
Zelevinskiĭ, A. V.
1
1987
Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Zbl 0619.33004
Gel’fand, I. M.; Zelevinskij, A. V.
7
1986
Canonical basis in irreducible representations of \({\mathfrak gl}_ 3\) and its applications. Zbl 0668.17006
Gel’fand, I.; Zelevinskij, A.
1
1986
Multiplicities and proper bases for \({\mathfrak gl}_ n\). Zbl 0677.17003
Gel’fand, I. M.; Zelevinskii, A.
1
1986
Two remarks on graded nilpotent classes. Zbl 0577.20032
Zelevinskiĭ, A. V.
15
1985
Polyhedra in the scheme space and the canonical basis in irreducible representations of \({\mathfrak gl}_ 3\). Zbl 0606.17006
Gel’fand, I. M.; Zelevinskij, A. V.
1
1985
Models of representations of classical groups and their hidden symmetries. Zbl 0573.22008
Gel’fand, I. M.; Zelevinskiĭ, A. V.
16
1984
Models of representations of classical groups and their latent symmetries. Zbl 0556.22003
Gel’fand, I. M.; Zelevinskii, A. V.
9
1984
Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022
Springer, T. A.; Zelevinsky, A. V.
9
1984
Small resolutions of singularities of Schubert varieties. Zbl 0559.14006
Zelevinskij, A. V.
13
1983
The representation theory of the symmetric groups. (Teoriya predstavlenij simmetricheskikh grupp). Transl. from the English by A. V. Zelevinskij and S. V. Kerov. Zbl 0525.20003
James, G. D.
1
1982
Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009
Zelevinsky, Andrey V.
138
1981
A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence. Zbl 0464.20010
Zelevinsky, A. V.
42
1981
p-adic analog of the Kazhdan-Lusztig hypothesis. Zbl 0476.22014
Zelevinskij, A. V.
21
1981
A p-adic analogue of a conjecture of Kazhdan-Lusztig. Zbl 0463.22013
Zelevinskij, A. V.
11
1981
Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014
Zelevinsky, A. V.
314
1980
...and 8 more Documents
all top 5

Cited by 2,956 Authors

42 Schiffler, Ralf
35 Zelevinskiĭ, Andreĭ V.
33 Sturmfels, Bernd
27 Marsh, Bethany Rose
26 Flicker, Yuval Z.
24 Dickenstein, Alicia M.
23 Zhu, Bin
22 Assem, Ibrahim
19 Pilaud, Vincent
18 Fomin, Sergey Vladimirovich
18 Reading, Nathan
17 Kapranov, Mikhail M.
17 Koshevoy, Gleb A.
17 Pylyavskyy, Pavlo
17 Shapiro, Michael Z.
17 Tadić, Marko
17 Yakimov, Milen T.
16 Iyama, Osamu
16 Keller, Bernhard
16 Lee, Kyungyong
15 Buan, Aslak Bakke
15 Ding, Ming
15 Igusa, Kiyoshi
15 Reiten, Idun
15 Speyer, David E.
15 Williams, Lauren K.
14 Berenstein, Arkady
14 Geiss, Christof
14 Jantzen, Chris
14 Lam, Thomas F.
14 Leclerc, Bernard
14 Nakashima, Toshiki
13 Brüstle, Thomas
13 Danilov, Vladimir I.
13 Henniart, Guy M.
13 Hone, Andrew N. W.
13 Jing, Naihuan
13 Karzanov, Aleksandr V.
13 Lapid, Erez Moshe
13 Li, Fang
13 Matić, Ivan
13 Matringe, Nadir
13 Offen, Omer
13 Tsikh, Avgust Karlovich
13 Xu, Fan
12 Baur, Karin
12 Busé, Laurent
12 Di Francesco, Philippe
12 Dupont, Grégoire
12 Emiris, Ioannis Z.
12 Matusevich, Laura Felicia
12 Sayag, Eitan
12 Schröer, Jan
12 Stella, Salvatore
11 Aubert, Anne-Marie
11 Caldero, Philippe
11 Ceballos, Cesar
11 Cerulli Irelli, Giovanni
11 D’Andrea, Carlos
11 Galashin, Pavel
11 Hanzer, Marcela
11 Morier-Genoud, Sophie
11 Muić, Goran
11 Musiker, Gregg
11 Plamondon, Pierre-Guy
11 Rietsch, Konstanze
11 Rupel, Dylan C.
11 Shin, Dong-Uy
11 Todorov, Gordana
11 Tumarkin, Pavel
11 Zhang, Weinian
10 Canakci, Ilke
10 Felikson, Anna Aleksandrovna
10 Forsgård, Jens
10 Gekhtman, Mikhaèl I.
10 Gourevitch, Dmitry
10 Kim, Jeong-Ah
10 Labardini-Fragoso, Daniel
10 Mínguez, Alberto
10 Ottaviani, Giorgio Maria
10 Plymen, Roger J.
10 Reiner, Victor
10 Rojas, J. Maurice
10 Santos, Francisco
10 Serhiyenko, Khrystyna
10 Thomas, Hugh Ross
10 Vainshtein, Alek
10 Weyman, Jerzy M.
9 Aizenbud, Avraham
9 Amiot, Claire
9 Cao, Peigen
9 Gel’fand, Israil’ Moiseevich
9 Inoue, Rei
9 Kazhdan, David A.
9 McConville, Thomas
9 Michałek, Mateusz
9 Mikhalkin, Evgeniĭ N.
9 Seven, Ahmet I.
9 Takeuchi, Kiyoshi
9 Tingley, Peter W.
...and 2,856 more Authors
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Cited in 353 Serials

239 Journal of Algebra
227 Advances in Mathematics
110 Transactions of the American Mathematical Society
96 Journal of Algebraic Combinatorics
85 Journal of Pure and Applied Algebra
77 Duke Mathematical Journal
73 Journal of Symbolic Computation
69 Algebras and Representation Theory
68 Journal of Combinatorial Theory. Series A
68 Linear Algebra and its Applications
64 Journal of High Energy Physics
63 Mathematische Zeitschrift
62 Compositio Mathematica
60 Communications in Algebra
60 Selecta Mathematica. New Series
56 Inventiones Mathematicae
48 Communications in Mathematical Physics
48 Proceedings of the American Mathematical Society
45 Israel Journal of Mathematics
45 Representation Theory
38 Transformation Groups
37 Mathematische Annalen
37 The Electronic Journal of Combinatorics
36 Annales de l’Institut Fourier
36 Manuscripta Mathematica
33 Advances in Applied Mathematics
33 Séminaire Lotharingien de Combinatoire
33 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
32 Journal of Mathematical Physics
30 Journal of Number Theory
29 Functional Analysis and its Applications
28 Journal of the American Mathematical Society
24 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 European Journal of Combinatorics
21 Discrete & Computational Geometry
20 Discrete Mathematics
20 Algebraic Combinatorics
19 Nagoya Mathematical Journal
19 Annals of Combinatorics
19 Journal of Algebra and its Applications
18 Letters in Mathematical Physics
18 Journal für die Reine und Angewandte Mathematik
17 Journal of Mathematical Sciences (New York)
17 Forum of Mathematics, Sigma
16 Journal of the European Mathematical Society (JEMS)
16 Proceedings of the Steklov Institute of Mathematics
15 Mathematics of Computation
15 Science China. Mathematics
14 Journal of Geometry and Physics
14 Memoirs of the American Mathematical Society
13 Theoretical and Mathematical Physics
13 Journal of Functional Analysis
13 Proceedings of the London Mathematical Society. Third Series
13 Tohoku Mathematical Journal. Second Series
13 Journal of Siberian Federal University. Mathematics & Physics
12 Glasgow Mathematical Journal
12 Publications Mathématiques
12 Bulletin of the American Mathematical Society. New Series
12 Annals of Mathematics. Second Series
12 Acta Mathematica Sinica. English Series
11 Forum Mathematicum
11 Foundations of Computational Mathematics
10 Linear and Multilinear Algebra
10 Nuclear Physics. B
10 Michigan Mathematical Journal
10 Pacific Journal of Mathematics
10 Indagationes Mathematicae. New Series
10 Journal of the Institute of Mathematics of Jussieu
9 Discrete Applied Mathematics
9 Journal d’Analyse Mathématique
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Experimental Mathematics
8 Archiv der Mathematik
8 Journal of Computational and Applied Mathematics
8 Proceedings of the National Academy of Sciences of the United States of America
8 Journal of Physics A: Mathematical and Theoretical
8 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
7 Journal of Mathematical Analysis and Applications
7 Mathematical Notes
7 Geometriae Dedicata
7 Proceedings of the Japan Academy. Series A
7 Theoretical Computer Science
7 International Journal of Mathematics
7 International Journal of Algebra and Computation
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Algebraic Geometry
6 Beiträge zur Algebra und Geometrie
6 Bulletin de la Société Mathématique de France
6 Journal of Differential Equations
6 Journal of the Mathematical Society of Japan
6 Osaka Journal of Mathematics
6 SIAM Journal on Discrete Mathematics
6 IMRN. International Mathematics Research Notices
6 The Journal of Geometric Analysis
6 Geometric and Functional Analysis. GAFA
6 Mémoires de la Société Mathématique de France. Nouvelle Série
6 Algebra Colloquium
6 Finite Fields and their Applications
6 Journal of Lie Theory
...and 253 more Serials
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Cited in 62 Fields

969 Algebraic geometry (14-XX)
760 Commutative algebra (13-XX)
717 Combinatorics (05-XX)
601 Associative rings and algebras (16-XX)
537 Topological groups, Lie groups (22-XX)
505 Group theory and generalizations (20-XX)
475 Number theory (11-XX)
424 Nonassociative rings and algebras (17-XX)
276 Convex and discrete geometry (52-XX)
242 Quantum theory (81-XX)
221 Linear and multilinear algebra; matrix theory (15-XX)
208 Category theory; homological algebra (18-XX)
177 Several complex variables and analytic spaces (32-XX)
141 Special functions (33-XX)
136 Differential geometry (53-XX)
134 Dynamical systems and ergodic theory (37-XX)
129 Computer science (68-XX)
88 Manifolds and cell complexes (57-XX)
77 Numerical analysis (65-XX)
76 Field theory and polynomials (12-XX)
64 Order, lattices, ordered algebraic structures (06-XX)
61 Difference and functional equations (39-XX)
57 Functions of a complex variable (30-XX)
57 Ordinary differential equations (34-XX)
49 Geometry (51-XX)
39 Partial differential equations (35-XX)
39 Statistical mechanics, structure of matter (82-XX)
35 Algebraic topology (55-XX)
35 Relativity and gravitational theory (83-XX)
32 Probability theory and stochastic processes (60-XX)
30 Mechanics of particles and systems (70-XX)
29 Real functions (26-XX)
28 Functional analysis (46-XX)
26 Global analysis, analysis on manifolds (58-XX)
25 Biology and other natural sciences (92-XX)
24 Operations research, mathematical programming (90-XX)
22 Abstract harmonic analysis (43-XX)
17 \(K\)-theory (19-XX)
16 Operator theory (47-XX)
14 Statistics (62-XX)
12 Mathematical logic and foundations (03-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Systems theory; control (93-XX)
8 Information and communication theory, circuits (94-XX)
7 Approximations and expansions (41-XX)
6 Potential theory (31-XX)
6 Integral transforms, operational calculus (44-XX)
5 Measure and integration (28-XX)
5 General topology (54-XX)
4 History and biography (01-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 General and overarching topics; collections (00-XX)
2 General algebraic systems (08-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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