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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: Zelevinskii, A.; Zelevinskii, A. V.; Zelevinskij, A.; Zelevinskij, A. V.; Zelevinskiĭ, A. V.; Zelevinsky, A.; Zelevinsky, A. V.; Zelevinsky, Andrei; Zelevinsky, Andrei V.; Zelevinsky, Andrey V.
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 116 Publications since 1973, including 3 Books
Biographic References: 5 Publications
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
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 Notices of the American Mathematical Society
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

105 Publications have been cited 5,668 times in 3,177 Documents Cited by Year
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
682
1994
Cluster algebras. I: Foundations. Zbl 1021.16017
Fomin, Sergey; Zelevinsky, Andrei
654
2002
Cluster algebras. II: Finite type classification. Zbl 1054.17024
Fomin, Sergey; Zelevinsky, Andrei
313
2003
Induced representations of reductive \(p\)-adic groups. I. Zbl 0412.22015
Bernstein, I. N.; Zelevinsky, A. V.
288
1977
Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014
Zelevinsky, A. V.
286
1980
Cluster algebras. IV: Coefficients. Zbl 1127.16023
Fomin, Sergey; Zelevinsky, Andrei
259
2007
Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
187
2005
\(Y\)-systems and generalized associahedra. Zbl 1057.52003
Fomin, Sergey; Zelevinsky, Andrei
160
2003
Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009
Zelevinsky, Andrey V.
159
1981
Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
157
2008
Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
123
2010
The Laurent phenomenon. Zbl 1012.05012
Fomin, Sergey; Zelevinsky, Andrei
107
2002
Tensor product multiplicities, canonical and totally positive varieties. Zbl 1061.17006
Berenstein, Arkady; Zelevinsky, Andrei
103
2001
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
102
2008
Double Bruhat cells and total positivity. Zbl 0913.22011
Fomin, Sergey; Zelevinsky, Andrei
101
1999
Quantum cluster algebras. Zbl 1124.20028
Berenstein, Arkady; Zelevinsky, Andrei
97
2005
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.
92
1976
Parametrizations of canonical bases and totally positive matrices. Zbl 0966.17011
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
89
1996
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
82
1990
Total positivity: tests and parametrizations. Zbl 1052.15500
Fomin, Sergey; Zelevinsky, Andrei
77
2000
Hypergeometric functions and toric varieties. Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
77
1989
Generalized associahedra via quiver representations. Zbl 1042.52007
Marsh, Robert; Reineke, Markus; Zelevinsky, Andrei
76
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.
70
1976
Polytopal realizations of generalized associahedra. Zbl 1018.52007
Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei
59
2002
Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014
Nakashima, Toshiki; Zelevinsky, Andrei
58
1997
Total positivity in Schubert varieties. Zbl 0891.20030
Berenstein, Arkady; Zelevinsky, Andrei
51
1997
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018
Sherman, Paul; Zelevinsky, Andrei
45
2004
Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021
Leclerc, Bernard; Zelevinsky, Andrei
45
1998
On tropical dualities in cluster algebras. Zbl 1317.13054
Nakanishi, Tomoki; Zelevinsky, Andrei
44
2012
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
44
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.
42
1992
String bases for quantum groups of type \(A_ r\). Zbl 0794.17007
Berenstein, Arkady; Zelevinsky, Andrei
40
1993
A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence. Zbl 0464.20010
Zelevinsky, A. V.
40
1981
Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108
Fomin, Sergey; Zelevinsky, Andrei
39
2003
Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070
Barot, Michael; Geiss, Christof; Zelevinsky, Andrei
38
2006
Multiple flag varieties of finite type. Zbl 0951.14034
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
35
1999
Laurent expansions in cluster algebras via quiver representations. Zbl 1133.16012
Caldero, Philippe; Zelevinsky, Andrei
31
2006
Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006
Berenshtein, A. D.; Zelevinskii, A. V.
30
1988
Maximal minors and their leading terms. Zbl 0776.13009
Sturmfels, Bernd; Zelevinsky, Andrei V.
29
1993
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
27
1991
Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010
Yang, Shih-Wei; Zelevinsky, Andrei
26
2008
Nested complexes and their polyhedral realizations. Zbl 1109.52010
Zelevinsky, Andrei
26
2006
Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006
Berenstein, Arkady; Zelevinsky, Andrei
24
1996
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
24
1992
p-adic analog of the Kazhdan-Lusztig hypothesis. Zbl 0476.22014
Zelevinskij, A. V.
21
1981
Greedy elements in rank 2 cluster algebras. Zbl 1295.13031
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
19
2014
On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups. Zbl 1006.22015
Kogan, Mikhail; Zelevinsky, Andrei
18
2002
Connected components of real double Bruhat cells. Zbl 0978.20021
Zelevinsky, Andrei
18
2000
Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
18
1990
Symplectic multiple flag varieties of finite type. Zbl 0996.14023
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
17
2000
Littlewood-Richardson semigroups. Zbl 0935.05094
Zelevinsky, Andrei
17
1999
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
17
1990
Combinatorics of maximal minors. Zbl 0794.13021
Bernstein, David; Zelevinsky, Andrei
16
1993
Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V.
16
1987
Models of representations of classical groups and their hidden symmetries. Zbl 0573.22008
Gel’fand, I. M.; Zelevinskiĭ, A. V.
16
1984
Multigraded resultants of Sylvester type. Zbl 0813.13018
Sturmfels, Bernd; Zelevinsky, Andrei V.
15
1994
Two remarks on graded nilpotent classes. Zbl 0577.20032
Zelevinskiĭ, A. V.
14
1985
Triangular bases in quantum cluster algebras. Zbl 1303.13026
Berenstein, Arkady; Zelevinsky, Andrei
13
2014
Multiplicities of points on Schubert varieties in Grassmannians. Zbl 1015.14025
Rosenthal, Joachim; Zelevinsky, Andrei
13
2001
Singularities of hyperdeterminants. Zbl 0853.14001
Weyman, Jerzy; Zelevinsky, Andrei
13
1996
Small resolutions of singularities of Schubert varieties. Zbl 0559.14006
Zelevinskij, A. V.
13
1983
Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009
Knight, Harold; Zelevinsky, Andrei
12
1996
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
12
1993
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.
11
1990
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
11
1988
Determinantal formulas for multigraded resultants. Zbl 0816.13007
Weyman, Jerzy; Zelevinsky, Andrei
10
1994
General hypergeometric functions on complex Grassmannians. Zbl 0625.33006
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V.
10
1987
Models of representations of classical groups and their latent symmetries. Zbl 0556.22003
Gel’fand, I. M.; Zelevinskii, A. V.
10
1984
Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022
Springer, T. A.; Zelevinsky, A. V.
10
1984
A p-adic analogue of a conjecture of Kazhdan-Lusztig. Zbl 0463.22013
Zelevinskij, A. V.
10
1981
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
Multiplicative properties of projectively dual varieties. Zbl 0839.14039
Weyman, Jerzy; Zelevinsky, Andrei
9
1994
Strongly primitive species with potentials. I: Mutations. Zbl 1378.16024
Labardini-Fragoso, Daniel; Zelevinsky, Andrei
8
2016
What is \(\dots\) a cluster algebra? Zbl 1130.13301
Zelevinsky, Andrei
8
2007
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
Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Zbl 0619.33004
Gel’fand, I. M.; Zelevinskij, A. V.
8
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
Induzierte Darstellungen der Gruppe \(\text{GL}(n)\) über einem \(\mathfrak p\)-adischen Körper. Zbl 0335.22013
Bernstein, I. N.; Zelevinskiĭ, A. V.
5
1976
Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018
Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei
4
2014
Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
4
2014
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.
4
1990
Projectively dual varieties and hyperdeterminants. Zbl 0715.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
4
1989
Classification of irreducible noncuspidal representations of \(GL_n\) over the \(p\)-adic field. Zbl 0371.22015
Zelevinskii, A. V.
4
1977
General hypergeometric functions on complex Grassmannians. Zbl 0614.33008
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskii, A. V.
3
1987
Canonical basis in irreducible representations of \({\mathfrak gl}_ 3\) and its applications. Zbl 0668.17006
Gel’fand, I.; Zelevinskij, A.
3
1986
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
Multisegment duality, canonical bases and total positivity. Zbl 0918.05104
Zelevinsky, Andrei
2
1998
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
Cluster algebras: origins, results and conjectures. Zbl 1066.22016
Zelevinsky, Andrei
1
2004
Simple vertices of maximal minor polytopes. Zbl 0797.52008
Santhanakrishnan, Prakash; Zelevinsky, Andrei
1
1994
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
1
1991
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
Greedy elements in rank 2 cluster algebras. Zbl 1295.13031
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
19
2014
Triangular bases in quantum cluster algebras. Zbl 1303.13026
Berenstein, Arkady; Zelevinsky, Andrei
13
2014
Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018
Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei
4
2014
Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
4
2014
On tropical dualities in cluster algebras. Zbl 1317.13054
Nakanishi, Tomoki; Zelevinsky, Andrei
44
2012
Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
123
2010
Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
157
2008
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
102
2008
Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010
Yang, Shih-Wei; Zelevinsky, Andrei
26
2008
Cluster algebras. IV: Coefficients. Zbl 1127.16023
Fomin, Sergey; Zelevinsky, Andrei
259
2007
What is \(\dots\) a cluster algebra? Zbl 1130.13301
Zelevinsky, Andrei
8
2007
Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015
Zelevinsky, Andrei
8
2007
Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070
Barot, Michael; Geiss, Christof; Zelevinsky, Andrei
38
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
187
2005
Quantum cluster algebras. Zbl 1124.20028
Berenstein, Arkady; Zelevinsky, Andrei
97
2005
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018
Sherman, Paul; Zelevinsky, Andrei
45
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
313
2003
\(Y\)-systems and generalized associahedra. Zbl 1057.52003
Fomin, Sergey; Zelevinsky, Andrei
160
2003
Generalized associahedra via quiver representations. Zbl 1042.52007
Marsh, Robert; Reineke, Markus; Zelevinsky, Andrei
76
2003
Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108
Fomin, Sergey; Zelevinsky, Andrei
39
2003
Cluster algebras. I: Foundations. Zbl 1021.16017
Fomin, Sergey; Zelevinsky, Andrei
654
2002
The Laurent phenomenon. Zbl 1012.05012
Fomin, Sergey; Zelevinsky, Andrei
107
2002
Polytopal realizations of generalized associahedra. Zbl 1018.52007
Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei
59
2002
On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups. Zbl 1006.22015
Kogan, Mikhail; Zelevinsky, Andrei
18
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
103
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
77
2000
Connected components of real double Bruhat cells. Zbl 0978.20021
Zelevinsky, Andrei
18
2000
Symplectic multiple flag varieties of finite type. Zbl 0996.14023
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
17
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
101
1999
Multiple flag varieties of finite type. Zbl 0951.14034
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
35
1999
Littlewood-Richardson semigroups. Zbl 0935.05094
Zelevinsky, Andrei
17
1999
Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021
Leclerc, Bernard; Zelevinsky, Andrei
45
1998
Multisegment duality, canonical bases and total positivity. Zbl 0918.05104
Zelevinsky, Andrei
2
1998
Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014
Nakashima, Toshiki; Zelevinsky, Andrei
58
1997
Total positivity in Schubert varieties. Zbl 0891.20030
Berenstein, Arkady; Zelevinsky, Andrei
51
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
89
1996
Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006
Berenstein, Arkady; Zelevinsky, Andrei
24
1996
Singularities of hyperdeterminants. Zbl 0853.14001
Weyman, Jerzy; Zelevinsky, Andrei
13
1996
Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009
Knight, Harold; Zelevinsky, Andrei
12
1996
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
682
1994
Multigraded resultants of Sylvester type. Zbl 0813.13018
Sturmfels, Bernd; Zelevinsky, Andrei V.
15
1994
Determinantal formulas for multigraded resultants. Zbl 0816.13007
Weyman, Jerzy; Zelevinsky, Andrei
10
1994
Multiplicative properties of projectively dual varieties. Zbl 0839.14039
Weyman, Jerzy; Zelevinsky, Andrei
9
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
40
1993
Maximal minors and their leading terms. Zbl 0776.13009
Sturmfels, Bernd; Zelevinsky, Andrei V.
29
1993
Combinatorics of maximal minors. Zbl 0794.13021
Bernstein, David; Zelevinsky, Andrei
16
1993
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
12
1993
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
44
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.
42
1992
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
24
1992
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
27
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.
82
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.
18
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. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
11
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.
4
1990
Hypergeometric functions and toric varieties. Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
77
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.
4
1989
Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006
Berenshtein, A. D.; Zelevinskii, A. V.
30
1988
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
11
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
Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V.
16
1987
Resolutions, dual pairs, and character formulas. Zbl 0636.17003
Zelevinskij, A. V.
12
1987
General hypergeometric functions on complex Grassmannians. Zbl 0625.33006
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V.
10
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.
8
1986
Canonical basis in irreducible representations of \({\mathfrak gl}_ 3\) and its applications. Zbl 0668.17006
Gel’fand, I.; Zelevinskij, A.
3
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.
14
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
Representation models for classical groups and their higher symmetries. Zbl 0594.22007
Gelfand, I. M.; Zelevinsky, 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.
10
1984
Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022
Springer, T. A.; Zelevinsky, A. V.
10
1984
Small resolutions of singularities of Schubert varieties. Zbl 0559.14006
Zelevinskij, A. V.
13
1983
Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009
Zelevinsky, Andrey V.
159
1981
A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence. Zbl 0464.20010
Zelevinsky, A. V.
40
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.
10
1981
Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014
Zelevinsky, A. V.
286
1980
Induced representations of reductive \(p\)-adic groups. I. Zbl 0412.22015
Bernstein, I. N.; Zelevinsky, A. V.
288
1977
Classification of irreducible noncuspidal representations of \(GL_n\) over the \(p\)-adic field. Zbl 0371.22015
Zelevinskii, A. V.
4
1977
...and 5 more Documents
all top 5

Cited by 2,844 Authors

41 Schiffler, Ralf
35 Zelevinskiĭ, Andreĭ V.
32 Sturmfels, Bernd
26 Flicker, Yuval Z.
26 Marsh, Robert James
25 Dickenstein, Alicia M.
23 Zhu, Bin
20 Assem, Ibrahim
17 Pilaud, Vincent
17 Pylyavskyy, Pavlo
17 Reading, Nathan
17 Tadić, Marko
16 Fomin, Sergey Vladimirovich
16 Iyama, Osamu
16 Kapranov, Mikhail M.
16 Yakimov, Milen T.
15 Keller, Bernhard
15 Koshevoy, Gleb A.
15 Reiten, Idun
15 Shapiro, Michael Z.
15 Williams, Lauren K.
14 Ding, Ming
14 Leclerc, Bernard
14 Nakashima, Toshiki
14 Speyer, David E.
13 Berenstein, Arkady
13 Brüstle, Thomas
13 Buan, Aslak Bakke
13 Geiss, Christof
13 Henniart, Guy M.
13 Hone, Andrew N. W.
13 Jantzen, Chris
13 Jing, Naihuan
13 Lee, Kyungyong
13 Offen, Omer
12 Danilov, Vladimir I.
12 Dupont, Grégoire
12 Emiris, Ioannis Z.
12 Igusa, Kiyoshi
12 Karzanov, Aleksandr V.
12 Lam, Thomas F.
12 Li, Fang
12 Matić, Ivan
12 Xu, Fan
11 Aubert, Anne-Marie
11 Busé, Laurent
11 D’Andrea, Carlos
11 Lapid, Erez Moshe
11 Matusevich, Laura Felicia
11 Morier-Genoud, Sophie
11 Muić, Goran
11 Rietsch, Konstanze
11 Rupel, Dylan C.
11 Schröer, Jan
11 Shin, Dong-Uy
11 Stella, Salvatore
11 Tsikh, Avgust Karlovich
11 Zhang, Weinian
10 Baur, Karin
10 Caldero, Philippe
10 Ceballos, Cesar
10 Cerulli Irelli, Giovanni
10 Di Francesco, Philippe
10 Hanzer, Marcela
10 Kim, Jeong-Ah
10 Matringe, Nadir
10 Musiker, Gregg
10 Plymen, Roger J.
10 Reiner, Victor
10 Rojas, J. Maurice
10 Serhiyenko, Khrystyna
10 Thomas, Hugh Ross
10 Todorov, Gordana
10 Tumarkin, Pavel
10 Vainshtein, Alek
10 Weyman, Jerzy M.
9 Canakci, Ilke
9 Cao, Peigen
9 Felikson, Anna Aleksandrovna
9 Galashin, Pavel
9 Gel’fand, Israil’ Moiseevich
9 Kazhdan, David A.
9 Labardini-Fragoso, Daniel
9 Michałek, Mateusz
9 Mínguez, Alberto
9 Ottaviani, Giorgio Maria
9 Plamondon, Pierre-Guy
9 Santos, Francisco
9 Sayag, Eitan
9 Seven, Ahmet I.
9 Takeuchi, Kiyoshi
9 Tingley, Peter W.
9 Walther, Uli
8 Amiot, Claire
8 Barot, Michael
8 Cecotti, Sergio
8 Fei, Jiarui
8 Forsgård, Jens
8 Fu, Changjian
8 Garver, Alexander
...and 2,744 more Authors
all top 5

Cited in 334 Serials

234 Journal of Algebra
220 Advances in Mathematics
104 Transactions of the American Mathematical Society
92 Journal of Algebraic Combinatorics
84 Journal of Pure and Applied Algebra
75 Duke Mathematical Journal
75 Journal of Symbolic Computation
68 Journal of High Energy Physics
67 Journal of Combinatorial Theory. Series A
65 Linear Algebra and its Applications
63 Algebras and Representation Theory
61 Compositio Mathematica
57 Mathematische Zeitschrift
56 Communications in Algebra
54 Inventiones Mathematicae
50 Selecta Mathematica. New Series
45 Proceedings of the American Mathematical Society
44 Communications in Mathematical Physics
43 Israel Journal of Mathematics
39 Representation Theory
35 Annales de l’Institut Fourier
35 Mathematische Annalen
33 Manuscripta Mathematica
33 Séminaire Lotharingien de Combinatoire
33 Transformation Groups
32 Journal of Mathematical Physics
31 Journal of Number Theory
30 Advances in Applied Mathematics
28 Functional Analysis and its Applications
28 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
27 Journal of the American Mathematical Society
24 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
24 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 European Journal of Combinatorics
20 Discrete & Computational Geometry
19 Discrete Mathematics
18 Nagoya Mathematical Journal
18 Journal of Algebra and its Applications
17 Letters in Mathematical Physics
17 Journal für die Reine und Angewandte Mathematik
17 Journal of Mathematical Sciences (New York)
16 Annals of Combinatorics
16 Proceedings of the Steklov Institute of Mathematics
16 Algebraic Combinatorics
15 Journal of the European Mathematical Society (JEMS)
14 Journal of Geometry and Physics
14 Science China. Mathematics
13 Mathematics of Computation
13 Journal of Functional Analysis
13 Proceedings of the London Mathematical Society. Third Series
13 Tohoku Mathematical Journal. Second Series
13 The Electronic Journal of Combinatorics
12 Theoretical and Mathematical Physics
12 Bulletin of the American Mathematical Society. New Series
12 Forum of Mathematics, Sigma
11 Nuclear Physics. B
11 Publications Mathématiques
11 Memoirs of the American Mathematical Society
11 Annals of Mathematics. Second Series
11 Acta Mathematica Sinica. English Series
10 Linear and Multilinear Algebra
10 Glasgow Mathematical Journal
10 Michigan Mathematical Journal
10 Pacific Journal of Mathematics
10 Foundations of Computational Mathematics
9 Journal d’Analyse Mathématique
9 Forum Mathematicum
9 Journal of Siberian Federal University. Mathematics & Physics
8 Journal of Computational and Applied Mathematics
8 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Proceedings of the National Academy of Sciences of the United States of America
8 Experimental Mathematics
8 Journal of the Institute of Mathematics of Jussieu
8 Journal of Physics A: Mathematical and Theoretical
7 Discrete Applied Mathematics
7 Journal of Mathematical Analysis and Applications
7 Archiv der Mathematik
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
7 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
6 Mathematical Notes
6 Beiträge zur Algebra und Geometrie
6 Bulletin de la Société Mathématique de France
6 Geometriae Dedicata
6 Journal of the Mathematical Society of Japan
6 Journal of Complexity
6 Mémoires de la Société Mathématique de France. Nouvelle Série
6 Indagationes Mathematicae. New Series
6 Algebra Colloquium
6 Geometry & Topology
6 International Journal of Geometric Methods in Modern Physics
6 Research in the Mathematical Sciences
5 International Journal of Modern Physics A
5 Applied Mathematics and Computation
5 Journal of Differential Equations
5 Osaka Journal of Mathematics
5 Proceedings of the Japan Academy. Series A
...and 234 more Serials
all top 5

Cited in 62 Fields

888 Algebraic geometry (14-XX)
690 Commutative algebra (13-XX)
648 Combinatorics (05-XX)
559 Associative rings and algebras (16-XX)
497 Topological groups, Lie groups (22-XX)
474 Group theory and generalizations (20-XX)
444 Number theory (11-XX)
384 Nonassociative rings and algebras (17-XX)
250 Convex and discrete geometry (52-XX)
231 Quantum theory (81-XX)
199 Category theory; homological algebra (18-XX)
198 Linear and multilinear algebra; matrix theory (15-XX)
165 Several complex variables and analytic spaces (32-XX)
137 Special functions (33-XX)
123 Computer science (68-XX)
122 Dynamical systems and ergodic theory (37-XX)
120 Differential geometry (53-XX)
77 Manifolds and cell complexes (57-XX)
75 Numerical analysis (65-XX)
70 Field theory and polynomials (12-XX)
59 Order, lattices, ordered algebraic structures (06-XX)
54 Functions of a complex variable (30-XX)
54 Difference and functional equations (39-XX)
47 Ordinary differential equations (34-XX)
46 Geometry (51-XX)
41 Partial differential equations (35-XX)
40 Statistical mechanics, structure of matter (82-XX)
33 Algebraic topology (55-XX)
33 Relativity and gravitational theory (83-XX)
29 Functional analysis (46-XX)
29 Probability theory and stochastic processes (60-XX)
27 Real functions (26-XX)
26 Mechanics of particles and systems (70-XX)
23 Abstract harmonic analysis (43-XX)
21 Global analysis, analysis on manifolds (58-XX)
21 Biology and other natural sciences (92-XX)
20 Operations research, mathematical programming (90-XX)
18 \(K\)-theory (19-XX)
17 Operator theory (47-XX)
13 Statistics (62-XX)
11 Mathematical logic and foundations (03-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Information and communication theory, circuits (94-XX)
7 Approximations and expansions (41-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Systems theory; control (93-XX)
5 Measure and integration (28-XX)
5 Potential theory (31-XX)
5 General topology (54-XX)
4 History and biography (01-XX)
4 General algebraic systems (08-XX)
4 Integral transforms, operational calculus (44-XX)
3 General and overarching topics; collections (00-XX)
3 Calculus of variations and optimal control; optimization (49-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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