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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.
Further Spellings: Зелевинский Андрей Владленович
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
1,631 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 6,375 times in 3,573 Documents Cited by Year
Cluster algebras. I: Foundations. Zbl 1021.16017
Fomin, Sergey; Zelevinsky, Andrei
778
2002
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
735
1994
Cluster algebras. II: Finite type classification. Zbl 1054.17024
Fomin, Sergey; Zelevinsky, Andrei
361
2003
Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014
Zelevinsky, A. V.
338
1980
Induced representations of reductive \(p\)-adic groups. I. Zbl 0412.22015
Bernstein, I. N.; Zelevinsky, A. V.
323
1977
Cluster algebras. IV: Coefficients. Zbl 1127.16023
Fomin, Sergey; Zelevinsky, Andrei
305
2007
Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
212
2005
\(Y\)-systems and generalized associahedra. Zbl 1057.52003
Fomin, Sergey; Zelevinsky, Andrei
181
2003
Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
180
2008
Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
146
2010
Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009
Zelevinsky, Andrey V.
142
1981
Tensor product multiplicities, canonical and totally positive varieties. Zbl 1061.17006
Berenstein, Arkady; Zelevinsky, Andrei
127
2001
Quantum cluster algebras. Zbl 1124.20028
Berenstein, Arkady; Zelevinsky, Andrei
124
2005
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
122
2008
The Laurent phenomenon. Zbl 1012.05012
Fomin, Sergey; Zelevinsky, Andrei
120
2002
Double Bruhat cells and total positivity. Zbl 0913.22011
Fomin, Sergey; Zelevinsky, Andrei
118
1999
Parametrizations of canonical bases and totally positive matrices. Zbl 0966.17011
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
106
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.
97
1976
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
92
1990
Total positivity: tests and parametrizations. Zbl 1052.15500
Fomin, Sergey; Zelevinsky, Andrei
84
2000
Generalized associahedra via quiver representations. Zbl 1042.52007
Marsh, Bethany R.; Reineke, Markus; Zelevinsky, Andrei
81
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.
77
1976
Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
74
1989
Polytopal realizations of generalized associahedra. Zbl 1018.52007
Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei
67
2002
Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014
Nakashima, Toshiki; Zelevinsky, Andrei
66
1997
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
64
2015
Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021
Leclerc, Bernard; Zelevinsky, Andrei
56
1998
Total positivity in Schubert varieties. Zbl 0891.20030
Berenstein, Arkady; Zelevinsky, Andrei
56
1997
On tropical dualities in cluster algebras. Zbl 1317.13054
Nakanishi, Tomoki; Zelevinsky, Andrei
51
2012
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018
Sherman, Paul; Zelevinsky, Andrei
50
2004
Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070
Barot, Michael; Geiss, Christof; Zelevinsky, Andrei
48
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.
47
1992
String bases for quantum groups of type \(A_ r\). Zbl 0794.17007
Berenstein, Arkady; Zelevinsky, Andrei
47
1993
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
47
1992
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
42
1999
Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108
Fomin, Sergey; Zelevinsky, Andrei
40
2003
Maximal minors and their leading terms. Zbl 0776.13009
Sturmfels, Bernd; Zelevinsky, Andrei V.
36
1993
Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006
Berenshtein, A. D.; Zelevinskii, A. V.
36
1988
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
33
1991
Laurent expansions in cluster algebras via quiver representations. Zbl 1133.16012
Caldero, Philippe; Zelevinsky, Andrei
31
2006
Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006
Berenstein, Arkady; Zelevinsky, Andrei
30
1996
Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010
Yang, Shih-Wei; Zelevinsky, Andrei
29
2008
Nested complexes and their polyhedral realizations. Zbl 1109.52010
Zelevinsky, Andrei
27
2006
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
26
1992
Greedy elements in rank 2 cluster algebras. Zbl 1295.13031
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
22
2014
Symplectic multiple flag varieties of finite type. Zbl 0996.14023
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
22
2000
p-adic analog of the Kazhdan-Lusztig hypothesis. Zbl 0476.22014
Zelevinskij, A. V.
21
1981
Combinatorics of maximal minors. Zbl 0794.13021
Bernstein, David; Zelevinsky, Andrei
20
1993
On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups. Zbl 1006.22015
Kogan, Mikhail; Zelevinsky, Andrei
19
2002
Connected components of real double Bruhat cells. Zbl 0978.20021
Zelevinsky, Andrei
19
2000
Littlewood-Richardson semigroups. Zbl 0935.05094
Zelevinsky, Andrei
19
1999
Models of representations of classical groups and their hidden symmetries. Zbl 0573.22008
Gel’fand, I. M.; Zelevinskiĭ, A. V.
18
1984
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
17
1990
Singularities of hyperdeterminants. Zbl 0853.14001
Weyman, Jerzy; Zelevinsky, Andrei
16
1996
Multigraded resultants of Sylvester type. Zbl 0813.13018
Sturmfels, Bernd; Zelevinsky, Andrei V.
16
1994
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
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
Small resolutions of singularities of Schubert varieties. Zbl 0559.14006
Zelevinskij, A. V.
14
1983
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
Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
13
1990
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.
11
1987
A p-adic analogue of a conjecture of Kazhdan-Lusztig. Zbl 0463.22013
Zelevinskij, A. V.
11
1981
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
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
10
1988
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
Recognizing Schubert cells. Zbl 1056.14504
Fomin, Sergey; Zelevinsky, Andrei
9
2000
A geometric characterization of Coxeter matroids. Zbl 0927.05020
Serganova, V. V.; Vince, A.; Zelevinsky, A.
9
1997
General hypergeometric functions on complex Grassmannians. Zbl 0625.33006
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V.
9
1987
Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022
Springer, T. A.; Zelevinsky, A. V.
9
1984
Models of representations of classical groups and their latent symmetries. Zbl 0556.22003
Gel’fand, I. M.; Zelevinskii, A. V.
9
1984
Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015
Zelevinsky, Andrei
8
2007
Totally nonnegative and oscillatory elements in semisimple groups. Zbl 0953.22016
Fomin, Sergey; Zelevinsky, Andrei
8
2000
What is \(\dots\) a cluster algebra? Zbl 1130.13301
Zelevinsky, Andrei
8
2007
Strongly primitive species with potentials. I: Mutations. Zbl 1378.16024
Labardini-Fragoso, Daniel; Zelevinsky, Andrei
8
2016
Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Zbl 0619.33004
Gel’fand, I. M.; Zelevinskij, A. V.
7
1986
Simply laced Coxeter groups and groups generated by symplectic transvections. Zbl 0998.20038
Shapiro, Boris; Shapiro, Michael; Vainshtein, Alek; Zelevinsky, Andrei
7
2000
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
7
1989
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
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
Classification of irreducible noncuspidal representations of \(GL_n\) over the \(p\)-adic field. Zbl 0371.22015
Zelevinskii, A. V.
4
1977
Induzierte Darstellungen der Gruppe \(\text{GL}(n)\) über einem \(\mathfrak p\)-adischen Körper. Zbl 0335.22013
Bernstein, I. N.; Zelevinskiĭ, A. V.
4
1976
General hypergeometric functions on complex Grassmannians. Zbl 0614.33008
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskii, A. V.
3
1987
Multisegment duality, canonical bases and total positivity. Zbl 0918.05104
Zelevinsky, Andrei
3
1998
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
Classification of irreducible non-cuspidal representations of the group \(GL_n\) over a \(p\)-adic field. Zbl 0363.22012
Zelevinskii, A. V.
3
1977
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
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
2
1991
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 existence of greedy bases in rank 2 quantum cluster algebras. Zbl 1397.16022
Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei
1
2016
Simple vertices of maximal minor polytopes. Zbl 0797.52008
Santhanakrishnan, Prakash; Zelevinsky, Andrei
1
1994
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.
64
2015
Greedy elements in rank 2 cluster algebras. Zbl 1295.13031
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
22
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
51
2012
Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
146
2010
Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
180
2008
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
122
2008
Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010
Yang, Shih-Wei; Zelevinsky, Andrei
29
2008
Cluster algebras. IV: Coefficients. Zbl 1127.16023
Fomin, Sergey; Zelevinsky, Andrei
305
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
48
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
27
2006
Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
212
2005
Quantum cluster algebras. Zbl 1124.20028
Berenstein, Arkady; Zelevinsky, Andrei
124
2005
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018
Sherman, Paul; Zelevinsky, Andrei
50
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
361
2003
\(Y\)-systems and generalized associahedra. Zbl 1057.52003
Fomin, Sergey; Zelevinsky, Andrei
181
2003
Generalized associahedra via quiver representations. Zbl 1042.52007
Marsh, Bethany R.; Reineke, Markus; Zelevinsky, Andrei
81
2003
Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108
Fomin, Sergey; Zelevinsky, Andrei
40
2003
Cluster algebras. I: Foundations. Zbl 1021.16017
Fomin, Sergey; Zelevinsky, Andrei
778
2002
The Laurent phenomenon. Zbl 1012.05012
Fomin, Sergey; Zelevinsky, Andrei
120
2002
Polytopal realizations of generalized associahedra. Zbl 1018.52007
Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei
67
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
127
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
84
2000
Symplectic multiple flag varieties of finite type. Zbl 0996.14023
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
22
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
118
1999
Multiple flag varieties of finite type. Zbl 0951.14034
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
42
1999
Littlewood-Richardson semigroups. Zbl 0935.05094
Zelevinsky, Andrei
19
1999
Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021
Leclerc, Bernard; Zelevinsky, Andrei
56
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
66
1997
Total positivity in Schubert varieties. Zbl 0891.20030
Berenstein, Arkady; Zelevinsky, Andrei
56
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
106
1996
Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006
Berenstein, Arkady; Zelevinsky, Andrei
30
1996
Singularities of hyperdeterminants. Zbl 0853.14001
Weyman, Jerzy; Zelevinsky, Andrei
16
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.
735
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
47
1993
Maximal minors and their leading terms. Zbl 0776.13009
Sturmfels, Bernd; Zelevinsky, Andrei V.
36
1993
Combinatorics of maximal minors. Zbl 0794.13021
Bernstein, David; Zelevinsky, Andrei
20
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
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.
47
1992
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
47
1992
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
26
1992
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
33
1991
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
2
1991
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
92
1990
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
17
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.
13
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.
74
1989
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
7
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.
36
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.
11
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.
18
1984
Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022
Springer, T. A.; Zelevinsky, A. V.
9
1984
Models of representations of classical groups and their latent symmetries. Zbl 0556.22003
Gel’fand, I. M.; Zelevinskii, A. V.
9
1984
Small resolutions of singularities of Schubert varieties. Zbl 0559.14006
Zelevinskij, A. V.
14
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.
142
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.
338
1980
...and 8 more Documents
all top 5

Cited by 3,062 Authors

43 Schiffler, Ralf
35 Zelevinskiĭ, Andreĭ V.
33 Sturmfels, Bernd
27 Marsh, Bethany Rose
26 Flicker, Yuval Z.
24 Dickenstein, Alicia M.
24 Zhu, Bin
22 Assem, Ibrahim
20 Koshevoy, Gleb A.
20 Pilaud, Vincent
19 Reading, Nathan
18 Fomin, Sergey Vladimirovich
18 Tadić, Marko
17 Kapranov, Mikhail M.
17 Lee, Kyungyong
17 Pylyavskyy, Pavlo
17 Shapiro, Michael Z.
17 Williams, Lauren K.
17 Yakimov, Milen T.
16 Igusa, Kiyoshi
16 Iyama, Osamu
16 Keller, Bernhard
16 Speyer, David E.
15 Buan, Aslak Bakke
15 Ding, Ming
15 Lam, Thomas F.
15 Leclerc, Bernard
15 Nakashima, Toshiki
15 Reiten, Idun
14 Baur, Karin
14 Berenstein, Arkady
14 Geiss, Christof
14 Hone, Andrew N. W.
14 Jantzen, Chris
14 Li, Fang
14 Matringe, Nadir
13 Brüstle, Thomas
13 Busé, Laurent
13 Danilov, Vladimir I.
13 Di Francesco, Philippe
13 Henniart, Guy M.
13 Jing, Naihuan
13 Karzanov, Aleksandr V.
13 Lapid, Erez Moshe
13 Matić, Ivan
13 Muić, Goran
13 Offen, Omer
13 Todorov, Gordana
13 Tsikh, Avgust Karlovich
13 Xu, Fan
12 Ceballos, Cesar
12 Dupont, Grégoire
12 Emiris, Ioannis Z.
12 Galashin, Pavel
12 Matusevich, Laura Felicia
12 Sayag, Eitan
12 Schröer, Jan
12 Serhiyenko, Khrystyna
12 Stella, Salvatore
11 Aubert, Anne-Marie
11 Caldero, Philippe
11 Cerulli Irelli, Giovanni
11 D’Andrea, Carlos
11 Forsgård, Jens
11 Gekhtman, Mikhaèl I.
11 Hanzer, Marcela
11 Labardini-Fragoso, Daniel
11 Morier-Genoud, Sophie
11 Musiker, Gregg
11 Plamondon, Pierre-Guy
11 Rietsch, Konstanze
11 Rupel, Dylan C.
11 Shin, Dong-Uy
11 Tumarkin, Pavel
11 Zhang, Weinian
10 Canakci, Ilke
10 Felikson, Anna Aleksandrovna
10 Gourevitch, Dmitry
10 Kim, Jeong-Ah
10 Mínguez, Alberto
10 Ottaviani, Giorgio Maria
10 Plymen, Roger J.
10 Reiner, Victor
10 Rojas, J. Maurice
10 Santos, Francisco
10 Thomas, Hugh Ross
10 Vainshtein, Alek
10 Weyman, Jerzy M.
9 Aizenbud, Avraham
9 Amiot, Claire
9 Cao, Peigen
9 Fu, Changjian
9 Garver, Alexander
9 Gel’fand, Israil’ Moiseevich
9 Gurevich, Maksim Isidorovich
9 Inoue, Rei
9 Kazhdan, David A.
9 Kedem, Rinat
9 Li, Li
9 McConville, Thomas
...and 2,962 more Authors
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Cited in 361 Serials

245 Journal of Algebra
234 Advances in Mathematics
113 Transactions of the American Mathematical Society
100 Journal of Algebraic Combinatorics
88 Journal of Pure and Applied Algebra
77 Duke Mathematical Journal
75 Journal of Symbolic Computation
71 Journal of High Energy Physics
70 Algebras and Representation Theory
69 Mathematische Zeitschrift
69 Linear Algebra and its Applications
68 Journal of Combinatorial Theory. Series A
63 Compositio Mathematica
63 Selecta Mathematica. New Series
60 Communications in Algebra
57 Inventiones Mathematicae
50 Proceedings of the American Mathematical Society
48 Communications in Mathematical Physics
47 Representation Theory
45 Israel Journal of Mathematics
40 Transformation Groups
38 Annales de l’Institut Fourier
38 The Electronic Journal of Combinatorics
37 Manuscripta Mathematica
37 Mathematische Annalen
37 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
34 Séminaire Lotharingien de Combinatoire
33 Advances in Applied Mathematics
32 Journal of Mathematical Physics
31 Journal of Number Theory
29 Functional Analysis and its Applications
29 Journal of the American Mathematical Society
24 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
24 European Journal of Combinatorics
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
23 Algebraic Combinatorics
21 Discrete & Computational Geometry
20 Discrete Mathematics
20 Nagoya Mathematical Journal
20 Annals of Combinatorics
20 Journal of Algebra and its Applications
19 Letters in Mathematical Physics
19 Journal für die Reine und Angewandte Mathematik
18 Forum of Mathematics, Sigma
17 Pacific Journal of Mathematics
17 Journal of Mathematical Sciences (New York)
16 Mathematics of Computation
16 Journal of the European Mathematical Society (JEMS)
16 Proceedings of the Steklov Institute of Mathematics
16 Science China. Mathematics
15 Journal of Geometry and Physics
15 Memoirs of the American Mathematical Society
13 Theoretical and Mathematical Physics
13 Glasgow Mathematical Journal
13 Journal of Functional Analysis
13 Proceedings of the London Mathematical Society. Third Series
13 Tôhoku Mathematical Journal. Second Series
13 Annals of Mathematics. Second Series
13 Journal of the Institute of Mathematics of Jussieu
13 Journal of Siberian Federal University. Mathematics & Physics
12 Bulletin de la Société Mathématique de France
12 Publications Mathématiques
12 Bulletin of the American Mathematical Society. New Series
12 Acta Mathematica Sinica. English Series
11 Linear and Multilinear Algebra
11 Forum Mathematicum
11 Foundations of Computational Mathematics
11 Algebra & Number Theory
10 Nuclear Physics. B
10 Michigan Mathematical Journal
10 Indagationes Mathematicae. New Series
10 Experimental Mathematics
9 Discrete Applied Mathematics
9 Journal d’Analyse Mathématique
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
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 SIAM Journal on Applied Algebra and Geometry
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 Geometric and Functional Analysis. GAFA
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Algebraic Geometry
6 Beiträge zur Algebra und Geometrie
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 Mémoires de la Société Mathématique de France. Nouvelle Série
6 Algebra Colloquium
...and 261 more Serials
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Cited in 62 Fields

1,013 Algebraic geometry (14-XX)
802 Commutative algebra (13-XX)
747 Combinatorics (05-XX)
630 Associative rings and algebras (16-XX)
559 Topological groups, Lie groups (22-XX)
527 Group theory and generalizations (20-XX)
501 Number theory (11-XX)
449 Nonassociative rings and algebras (17-XX)
293 Convex and discrete geometry (52-XX)
251 Quantum theory (81-XX)
229 Linear and multilinear algebra; matrix theory (15-XX)
211 Category theory; homological algebra (18-XX)
182 Several complex variables and analytic spaces (32-XX)
147 Special functions (33-XX)
140 Differential geometry (53-XX)
138 Dynamical systems and ergodic theory (37-XX)
135 Computer science (68-XX)
95 Manifolds and cell complexes (57-XX)
84 Numerical analysis (65-XX)
80 Field theory and polynomials (12-XX)
65 Order, lattices, ordered algebraic structures (06-XX)
65 Difference and functional equations (39-XX)
59 Ordinary differential equations (34-XX)
58 Functions of a complex variable (30-XX)
49 Geometry (51-XX)
41 Partial differential equations (35-XX)
40 Statistical mechanics, structure of matter (82-XX)
36 Algebraic topology (55-XX)
36 Probability theory and stochastic processes (60-XX)
35 Relativity and gravitational theory (83-XX)
30 Real functions (26-XX)
30 Global analysis, analysis on manifolds (58-XX)
30 Mechanics of particles and systems (70-XX)
29 Functional analysis (46-XX)
26 Operations research, mathematical programming (90-XX)
26 Biology and other natural sciences (92-XX)
22 Abstract harmonic analysis (43-XX)
18 Operator theory (47-XX)
17 \(K\)-theory (19-XX)
16 Statistics (62-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Mathematical logic and foundations (03-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
8 Approximations and expansions (41-XX)
8 Systems theory; control (93-XX)
8 Information and communication theory, circuits (94-XX)
7 Integral transforms, operational calculus (44-XX)
6 Potential theory (31-XX)
5 Measure and integration (28-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 General topology (54-XX)
4 History and biography (01-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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