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Zelevinskiĭ, Andreĭ V. (b. 1953 d. 2013)

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
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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

114 Publications have been cited 7,846 times in 4,358 Documents Cited by Year
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
940
1994
Cluster algebras. I: Foundations. Zbl 1021.16017
Fomin, Sergey; Zelevinsky, Andrei
933
2002
Cluster algebras. II: Finite type classification. Zbl 1054.17024
Fomin, Sergey; Zelevinsky, Andrei
418
2003
Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014
Zelevinsky, A. V.
384
1980
Cluster algebras. IV: Coefficients. Zbl 1127.16023
Fomin, Sergey; Zelevinsky, Andrei
371
2007
Induced representations of reductive \(p\)-adic groups. I. Zbl 0412.22015
Bernstein, I. N.; Zelevinsky, A. V.
370
1977
Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
267
2005
Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
213
2008
\(Y\)-systems and generalized associahedra. Zbl 1057.52003
Fomin, Sergey; Zelevinsky, Andrei
212
2003
Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009
Zelevinsky, Andrey V.
180
1981
Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
178
2010
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
162
2008
Quantum cluster algebras. Zbl 1124.20028
Berenstein, Arkady; Zelevinsky, Andrei
150
2005
Tensor product multiplicities, canonical and totally positive varieties. Zbl 1061.17006
Berenstein, Arkady; Zelevinsky, Andrei
147
2001
Double Bruhat cells and total positivity. Zbl 0913.22011
Fomin, Sergey; Zelevinsky, Andrei
141
1999
The Laurent phenomenon. Zbl 1012.05012
Fomin, Sergey; Zelevinsky, Andrei
139
2002
Parametrizations of canonical bases and totally positive matrices. Zbl 0966.17011
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
131
1996
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
124
1990
Representations of the group \(\mathrm{GL}(n,F)\) where \(F\) is a non-Archimedean local field. Zbl 0348.43007
Bernshteĭn, I. N.; Zelevinskiĭ, A. V.
117
1976
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.
115
1976
Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
114
1989
Total positivity: tests and parametrizations. Zbl 1052.15500
Fomin, Sergey; Zelevinsky, Andrei
100
2000
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
98
2015
Polytopal realizations of generalized associahedra. Zbl 1018.52007
Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei
91
2002
Generalized associahedra via quiver representations. Zbl 1042.52007
Marsh, Bethany R.; Reineke, Markus; Zelevinsky, Andrei
85
2003
Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014
Nakashima, Toshiki; Zelevinsky, Andrei
76
1997
On tropical dualities in cluster algebras. Zbl 1317.13054
Nakanishi, Tomoki; Zelevinsky, Andrei
71
2012
Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021
Leclerc, Bernard; Zelevinsky, Andrei
66
1998
Total positivity in Schubert varieties. Zbl 0891.20030
Berenstein, Arkady; Zelevinsky, Andrei
64
1997
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018
Sherman, Paul; Zelevinsky, Andrei
56
2004
Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070
Barot, Michael; Geiss, Christof; Zelevinsky, Andrei
54
2006
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
52
1992
Multiple flag varieties of finite type. Zbl 0951.14034
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
51
1999
String bases for quantum groups of type \(A_ r\). Zbl 0794.17007
Berenstein, Arkady; Zelevinsky, Andrei
50
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.
49
1992
Maximal minors and their leading terms. Zbl 0776.13009
Sturmfels, Bernd; Zelevinsky, Andrei V.
48
1993
Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108
Fomin, Sergey; Zelevinsky, Andrei
48
2003
A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence. Zbl 0464.20010
Zelevinsky, A. V.
47
1981
Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006
Berenshtein, A. D.; Zelevinskii, A. V.
46
1988
Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V.
45
1987
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
38
1991
Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010
Yang, Shih-Wei; Zelevinsky, Andrei
36
2008
Laurent expansions in cluster algebras via quiver representations. Zbl 1133.16012
Caldero, Philippe; Zelevinsky, Andrei
35
2006
Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006
Berenstein, Arkady; Zelevinsky, Andrei
35
1996
Small resolutions of singularities of Schubert varieties. Zbl 0559.14006
Zelevinskij, A. V.
33
1983
Nested complexes and their polyhedral realizations. Zbl 1109.52010
Zelevinsky, Andrei
33
2006
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
31
1992
Symplectic multiple flag varieties of finite type. Zbl 0996.14023
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
26
2000
Combinatorics of maximal minors. Zbl 0794.13021
Bernstein, David; Zelevinsky, Andrei
26
1993
Two remarks on graded nilpotent classes. Zbl 0577.20032
Zelevinskiĭ, A. V.
25
1985
Greedy elements in rank 2 cluster algebras. Zbl 1295.13031
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
25
2014
Littlewood-Richardson semigroups. Zbl 0935.05094
Zelevinsky, Andrei
24
1999
p-adic analog of the Kazhdan-Lusztig hypothesis. Zbl 0476.22014
Zelevinskij, A. V.
23
1981
Models of representations of classical groups and their hidden symmetries. Zbl 0573.22008
Gel’fand, I. M.; Zelevinskiĭ, A. V.
22
1984
Singularities of hyperdeterminants. Zbl 0853.14001
Weyman, Jerzy; Zelevinsky, Andrei
21
1996
Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
20
1990
Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009
Knight, Harold; Zelevinsky, Andrei
20
1996
Multigraded resultants of Sylvester type. Zbl 0813.13018
Sturmfels, Bernd; Zelevinsky, Andrei V.
19
1994
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
19
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
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
19
1990
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
18
1988
A p-adic analogue of a conjecture of Kazhdan-Lusztig. Zbl 0463.22013
Zelevinskij, A. V.
17
1981
Triangular bases in quantum cluster algebras. Zbl 1303.13026
Berenstein, Arkady; Zelevinsky, Andrei
17
2014
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
15
1989
Multiplicities of points on Schubert varieties in Grassmannians. Zbl 1015.14025
Rosenthal, Joachim; Zelevinsky, Andrei
15
2001
When is the multiplicity of a weight equal to 1? Zbl 0718.17008
Berenshtejn, A. D.; Zelevinskij, A. V.
14
1990
Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
14
1990
Resolutions, dual pairs, and character formulas. Zbl 0636.17003
Zelevinskij, A. V.
13
1987
Determinantal formulas for multigraded resultants. Zbl 0816.13007
Weyman, Jerzy; Zelevinsky, Andrei
13
1994
Multiplicative properties of projectively dual varieties. Zbl 0839.14039
Weyman, Jerzy; Zelevinsky, Andrei
12
1994
Models of representations of classical groups and their latent symmetries. Zbl 0556.22003
Gel’fand, I. M.; Zelevinskii, A. V.
12
1984
Recognizing Schubert cells. Zbl 1056.14504
Fomin, Sergey; Zelevinsky, Andrei
12
2000
General hypergeometric functions on complex Grassmannians. Zbl 0625.33006
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V.
11
1987
Totally nonnegative and oscillatory elements in semisimple groups. Zbl 0953.22016
Fomin, Sergey; Zelevinsky, Andrei
11
2000
Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022
Springer, T. A.; Zelevinsky, A. V.
10
1984
Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Zbl 0619.33004
Gel’fand, I. M.; Zelevinskij, A. V.
9
1986
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.
9
1988
A geometric characterization of Coxeter matroids. Zbl 0927.05020
Serganova, V. V.; Vince, A.; Zelevinsky, A.
9
1997
Strongly primitive species with potentials. I: Mutations. Zbl 1378.16024
Labardini-Fragoso, Daniel; Zelevinsky, Andrei
9
2016
What is \(\dots\) a cluster algebra? Zbl 1130.13301
Zelevinsky, Andrei
9
2007
Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015
Zelevinsky, Andrei
9
2007
Simply laced Coxeter groups and groups generated by symplectic transvections. Zbl 0998.20038
Shapiro, Boris; Shapiro, Michael; Vainshtein, Alek; Zelevinsky, Andrei
8
2000
Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018
Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei
8
2014
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.
7
1985
From Littlewood-Richardson coefficients to cluster algebras in three lectures. Zbl 1155.17303
Zelevinsky, Andrei
7
2002
Induzierte Darstellungen der Gruppe \(\text{GL}(n)\) über einem \(\mathfrak p\)-adischen Körper. Zbl 0335.22013
Bernstein, I. N.; Zelevinskiĭ, A. V.
6
1976
Representation models for classical groups and their higher symmetries. Zbl 0594.22007
Gelfand, I. M.; Zelevinsky, A. V.
6
1985
Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
6
2014
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
5
1991
Classification of irreducible noncuspidal representations of \(GL_n\) over the \(p\)-adic field. Zbl 0371.22015
Zelevinskii, A. V.
5
1977
A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
5
1990
Canonical basis in irreducible representations of \({\mathfrak gl}_ 3\) and its applications. Zbl 0668.17006
Gel’fand, I.; Zelevinskij, A.
5
1986
Multiplicities and proper bases for \({\mathfrak gl}_ n\). Zbl 0677.17003
Gel’fand, I. M.; Zelevinskii, A.
4
1986
Induced representations of the group \(\text{GL}(n)\) over a \(\mathfrak p\)-adic field. Zbl 0342.22014
Bernstein, I. N.; Zelevinskiĭ, A. V.
4
1977
Classification of irreducible non-cuspidal representations of the group \(GL_n\) over a \(p\)-adic field. Zbl 0363.22012
Zelevinskii, A. V.
4
1977
Representations of contragredient Lie algebras and the Kac-Macdonald identities. Zbl 0599.17010
Feigin, B. L.; Zelevinskii, A. V.
4
1985
Multisegment duality, canonical bases and total positivity. Zbl 0918.05104
Zelevinsky, Andrei
4
1998
General hypergeometric functions on complex Grassmannians. Zbl 0614.33008
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskii, A. V.
3
1987
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
9
2016
The existence of greedy bases in rank 2 quantum cluster algebras. Zbl 1397.16022
Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei
3
2016
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
98
2015
Greedy elements in rank 2 cluster algebras. Zbl 1295.13031
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
25
2014
Triangular bases in quantum cluster algebras. Zbl 1303.13026
Berenstein, Arkady; Zelevinsky, Andrei
17
2014
Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018
Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei
8
2014
Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034
Lee, Kyungyong; Li, Li; Zelevinsky, Andrei
6
2014
On tropical dualities in cluster algebras. Zbl 1317.13054
Nakanishi, Tomoki; Zelevinsky, Andrei
71
2012
Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
178
2010
Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008
Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei
213
2008
Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
162
2008
Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010
Yang, Shih-Wei; Zelevinsky, Andrei
36
2008
Cluster algebras. IV: Coefficients. Zbl 1127.16023
Fomin, Sergey; Zelevinsky, Andrei
371
2007
What is \(\dots\) a cluster algebra? Zbl 1130.13301
Zelevinsky, Andrei
9
2007
Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015
Zelevinsky, Andrei
9
2007
Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070
Barot, Michael; Geiss, Christof; Zelevinsky, Andrei
54
2006
Laurent expansions in cluster algebras via quiver representations. Zbl 1133.16012
Caldero, Philippe; Zelevinsky, Andrei
35
2006
Nested complexes and their polyhedral realizations. Zbl 1109.52010
Zelevinsky, Andrei
33
2006
Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013
Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei
267
2005
Quantum cluster algebras. Zbl 1124.20028
Berenstein, Arkady; Zelevinsky, Andrei
150
2005
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018
Sherman, Paul; Zelevinsky, Andrei
56
2004
Cluster algebras: origins, results and conjectures. Zbl 1066.22016
Zelevinsky, Andrei
3
2004
Cluster algebras. II: Finite type classification. Zbl 1054.17024
Fomin, Sergey; Zelevinsky, Andrei
418
2003
\(Y\)-systems and generalized associahedra. Zbl 1057.52003
Fomin, Sergey; Zelevinsky, Andrei
212
2003
Generalized associahedra via quiver representations. Zbl 1042.52007
Marsh, Bethany R.; Reineke, Markus; Zelevinsky, Andrei
85
2003
Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108
Fomin, Sergey; Zelevinsky, Andrei
48
2003
Cluster algebras. I: Foundations. Zbl 1021.16017
Fomin, Sergey; Zelevinsky, Andrei
933
2002
The Laurent phenomenon. Zbl 1012.05012
Fomin, Sergey; Zelevinsky, Andrei
139
2002
Polytopal realizations of generalized associahedra. Zbl 1018.52007
Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei
91
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
7
2002
Tensor product multiplicities, canonical and totally positive varieties. Zbl 1061.17006
Berenstein, Arkady; Zelevinsky, Andrei
147
2001
Multiplicities of points on Schubert varieties in Grassmannians. Zbl 1015.14025
Rosenthal, Joachim; Zelevinsky, Andrei
15
2001
Total positivity: tests and parametrizations. Zbl 1052.15500
Fomin, Sergey; Zelevinsky, Andrei
100
2000
Symplectic multiple flag varieties of finite type. Zbl 0996.14023
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
26
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
12
2000
Totally nonnegative and oscillatory elements in semisimple groups. Zbl 0953.22016
Fomin, Sergey; Zelevinsky, Andrei
11
2000
Simply laced Coxeter groups and groups generated by symplectic transvections. Zbl 0998.20038
Shapiro, Boris; Shapiro, Michael; Vainshtein, Alek; Zelevinsky, Andrei
8
2000
Double Bruhat cells and total positivity. Zbl 0913.22011
Fomin, Sergey; Zelevinsky, Andrei
141
1999
Multiple flag varieties of finite type. Zbl 0951.14034
Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei
51
1999
Littlewood-Richardson semigroups. Zbl 0935.05094
Zelevinsky, Andrei
24
1999
Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021
Leclerc, Bernard; Zelevinsky, Andrei
66
1998
Multisegment duality, canonical bases and total positivity. Zbl 0918.05104
Zelevinsky, Andrei
4
1998
Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014
Nakashima, Toshiki; Zelevinsky, Andrei
76
1997
Total positivity in Schubert varieties. Zbl 0891.20030
Berenstein, Arkady; Zelevinsky, Andrei
64
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
131
1996
Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006
Berenstein, Arkady; Zelevinsky, Andrei
35
1996
Singularities of hyperdeterminants. Zbl 0853.14001
Weyman, Jerzy; Zelevinsky, Andrei
21
1996
Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009
Knight, Harold; Zelevinsky, Andrei
20
1996
Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
940
1994
Multigraded resultants of Sylvester type. Zbl 0813.13018
Sturmfels, Bernd; Zelevinsky, Andrei V.
19
1994
Determinantal formulas for multigraded resultants. Zbl 0816.13007
Weyman, Jerzy; Zelevinsky, Andrei
13
1994
Multiplicative properties of projectively dual varieties. Zbl 0839.14039
Weyman, Jerzy; Zelevinsky, Andrei
12
1994
Simple vertices of maximal minor polytopes. Zbl 0797.52008
Santhanakrishnan, Prakash; Zelevinsky, Andrei
2
1994
String bases for quantum groups of type \(A_ r\). Zbl 0794.17007
Berenstein, Arkady; Zelevinsky, Andrei
50
1993
Maximal minors and their leading terms. Zbl 0776.13009
Sturmfels, Bernd; Zelevinsky, Andrei V.
48
1993
Combinatorics of maximal minors. Zbl 0794.13021
Bernstein, David; Zelevinsky, Andrei
26
1993
A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
19
1993
Chow polytopes and general resultants. Zbl 0780.14027
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
52
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.
49
1992
Hyperdeterminants. Zbl 0774.15002
Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V.
31
1992
Quotients of toric varieties. Zbl 0762.14023
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V.
38
1991
Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008
Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
5
1991
Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
124
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.
20
1990
Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002
Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V.
19
1990
When is the multiplicity of a weight equal to 1? Zbl 0718.17008
Berenshtejn, A. D.; Zelevinskij, A. V.
14
1990
Discriminants of polynomials in several variables. Zbl 0719.15003
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
14
1990
A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
5
1990
Geometry and combinatorics related to vector partition functions. Zbl 0751.05024
Zelevinskij, A. V.
1
1990
Loop groups. (Gruppy petel’). With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. Zbl 0733.22012
Pressley, Andrew; Segal, Graeme B.
1
1990
Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
114
1989
Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
15
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.
46
1988
Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010
Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M.
18
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.
9
1988
Involutions on Gel’fand-Tsetlin schemes and multiplicities in skew \(GL_ n\)-modules. Zbl 0674.20024
Berenshtejn, A. D.; Zelevinskij, A. V.
3
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.
2
1988
Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V.
45
1987
Resolutions, dual pairs, and character formulas. Zbl 0636.17003
Zelevinskij, A. V.
13
1987
General hypergeometric functions on complex Grassmannians. Zbl 0625.33006
Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V.
11
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.
2
1987
Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Zbl 0619.33004
Gel’fand, I. M.; Zelevinskij, A. V.
9
1986
Canonical basis in irreducible representations of \({\mathfrak gl}_ 3\) and its applications. Zbl 0668.17006
Gel’fand, I.; Zelevinskij, A.
5
1986
Multiplicities and proper bases for \({\mathfrak gl}_ n\). Zbl 0677.17003
Gel’fand, I. M.; Zelevinskii, A.
4
1986
Two remarks on graded nilpotent classes. Zbl 0577.20032
Zelevinskiĭ, A. V.
25
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.
7
1985
Representation models for classical groups and their higher symmetries. Zbl 0594.22007
Gelfand, I. M.; Zelevinsky, A. V.
6
1985
Representations of contragredient Lie algebras and the Kac-Macdonald identities. Zbl 0599.17010
Feigin, B. L.; Zelevinskii, A. V.
4
1985
Models of representations of classical groups and their hidden symmetries. Zbl 0573.22008
Gel’fand, I. M.; Zelevinskiĭ, A. V.
22
1984
Models of representations of classical groups and their latent symmetries. Zbl 0556.22003
Gel’fand, I. M.; Zelevinskii, A. V.
12
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.
33
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.
2
1982
Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009
Zelevinsky, Andrey V.
180
1981
...and 14 more Documents
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Cited by 3,651 Authors

45 Schiffler, Ralf
42 Sturmfels, Bernd
36 Zelevinskiĭ, Andreĭ V.
29 Flicker, Yuval Z.
28 Dickenstein, Alicia M.
28 Marsh, Bethany Rose
28 Pilaud, Vincent
24 Zhu, Bin
22 Assem, Ibrahim
22 Koshevoy, Gleb A.
22 Matringe, Nadir
22 Shapiro, Michael Z.
21 Lam, Thomas F.
21 Reading, Nathan
21 Speyer, David E.
20 Galashin, Pavel
20 Li, Fang
20 Tadić, Marko
20 Williams, Lauren K.
20 Yakimov, Milen T.
19 Fomin, Sergey Vladimirovich
19 Hone, Andrew N. W.
19 Pylyavskyy, Pavlo
18 Baur, Karin
18 Igusa, Kiyoshi
18 Kapranov, Mikhail M.
18 Keller, Bernhard
17 Iyama, Osamu
17 Leclerc, Bernard
17 Lee, Kyungyong
17 Thomas, Hugh Ross
16 Buan, Aslak Bakke
16 Ding, Ming
16 Nakashima, Toshiki
16 Reiten, Idun
16 Tsikh, Avgust Karlovich
15 Berenstein, Arkady
15 Busé, Laurent
15 Geiss, Christof
15 Lapid, Erez Moshe
15 Matić, Ivan
15 Musiker, Gregg
15 Offen, Omer
15 Todorov, Gordana
15 Walther, Uli
14 Brüstle, Thomas
14 Di Francesco, Philippe
14 Jantzen, Chris
14 Jing, Naihuan
14 Kaplan, Eyal
14 Muić, Goran
14 Santos, Francisco
14 Serhiyenko, Khrystyna
14 Xu, Fan
13 Ceballos, Cesar
13 Danilov, Vladimir I.
13 Felikson, Anna Aleksandrovna
13 Forsgård, Jens
13 Fu, Changjian
13 Henniart, Guy M.
13 Karzanov, Aleksandr V.
13 Matusevich, Laura Felicia
13 Rojas, J. Maurice
13 Schröer, Jan
13 Shin, Dong-Uy
13 Stella, Salvatore
13 Tumarkin, Pavel
13 Yong, Alexander
12 Canakci, Ilke
12 Cao, Peigen
12 D’Andrea, Carlos
12 Dupont, Grégoire
12 Emiris, Ioannis Z.
12 Gourevitch, Dmitry
12 Hanzer, Marcela
12 Kim, Jeong-Ah
12 Labardini-Fragoso, Daniel
12 Plamondon, Pierre-Guy
12 Rupel, Dylan C.
12 Sayag, Eitan
12 Sherman-Bennett, Melissa U.
12 Vainshtein, Alek
12 Weyman, Jerzy M.
11 Aubert, Anne-Marie
11 Caldero, Philippe
11 Cerulli Irelli, Giovanni
11 Garver, Alexander
11 Gekhtman, Mikhaèl I.
11 Geng, Shengfei
11 Gurevich, Maxim
11 Liu, Baiying
11 Mikhalkin, Evgeniĭ N.
11 Mínguez, Alberto
11 Mohammadi, Fatemeh
11 Morier-Genoud, Sophie
11 Nakanishi, Tomoki
11 Ottaviani, Giorgio Maria
11 Reiner, Victor
11 Rietsch, Konstanze
11 Zhang, Weinian
...and 3,551 more Authors
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Cited in 417 Serials

278 Journal of Algebra
267 Advances in Mathematics
117 Transactions of the American Mathematical Society
108 Journal of Pure and Applied Algebra
104 Journal of Algebraic Combinatorics
102 Journal of High Energy Physics
88 Journal of Symbolic Computation
85 Mathematische Zeitschrift
83 Algebras and Representation Theory
82 Duke Mathematical Journal
78 Selecta Mathematica. New Series
75 Linear Algebra and its Applications
69 Compositio Mathematica
69 Journal of Combinatorial Theory. Series A
68 Communications in Algebra
61 Inventiones Mathematicae
58 Communications in Mathematical Physics
53 Proceedings of the American Mathematical Society
49 Representation Theory
48 Séminaire Lotharingien de Combinatoire
47 Israel Journal of Mathematics
47 Manuscripta Mathematica
46 Mathematische Annalen
44 The Electronic Journal of Combinatorics
42 Transformation Groups
42 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
40 Annales de l’Institut Fourier
40 Journal of Number Theory
40 Advances in Applied Mathematics
39 Journal of Mathematical Physics
36 Algebraic Combinatorics
31 Journal of the American Mathematical Society
29 Functional Analysis and its Applications
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
28 Proceedings of the London Mathematical Society. Third Series
28 Discrete & Computational Geometry
27 Journal für die Reine und Angewandte Mathematik
27 European Journal of Combinatorics
26 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
26 Journal of the London Mathematical Society. Second Series
23 Discrete Mathematics
23 Letters in Mathematical Physics
23 Memoirs of the American Mathematical Society
23 Journal of the European Mathematical Society (JEMS)
23 Journal of Algebra and its Applications
23 Forum of Mathematics, Sigma
22 Nagoya Mathematical Journal
22 Annals of Combinatorics
21 Pacific Journal of Mathematics
20 Journal of Mathematical Sciences (New York)
19 Journal of Geometry and Physics
19 Bulletin of the London Mathematical Society
18 Science China. Mathematics
17 Journal of Functional Analysis
16 Mathematics of Computation
16 Journal of the Institute of Mathematics of Jussieu
16 Proceedings of the Steklov Institute of Mathematics
16 Journal of Physics A: Mathematical and Theoretical
15 Theoretical and Mathematical Physics
15 Glasgow Mathematical Journal
15 Annals of Mathematics. Second Series
14 Nuclear Physics. B
14 Bulletin de la Société Mathématique de France
14 Foundations of Computational Mathematics
14 Algebra & Number Theory
13 Linear and Multilinear Algebra
13 Tôhoku Mathematical Journal. Second Series
13 Acta Mathematica Sinica. English Series
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12 Bulletin of the American Mathematical Society. New Series
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12 SIAM Journal on Applied Algebra and Geometry
11 International Journal of Mathematics
11 Experimental Mathematics
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10 Michigan Mathematical Journal
10 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
9 Discrete Applied Mathematics
9 Beiträge zur Algebra und Geometrie
9 Archiv der Mathematik
9 Canadian Journal of Mathematics
9 Geometriae Dedicata
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 IMRN. International Mathematics Research Notices
9 Geometric and Functional Analysis. GAFA
9 Arnold Mathematical Journal
8 Journal of Mathematical Analysis and Applications
8 Journal of Computational and Applied Mathematics
8 Proceedings of the Japan Academy. Series A
8 Proceedings of the National Academy of Sciences of the United States of America
8 Journal of Algebraic Geometry
8 The Ramanujan Journal
8 Geometry & Topology
8 International Journal of Geometric Methods in Modern Physics
7 Mathematical Notes
7 Collectanea Mathematica
7 Journal of Differential Equations
...and 317 more Serials
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Cited in 62 Fields

1,301 Algebraic geometry (14-XX)
979 Commutative algebra (13-XX)
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723 Associative rings and algebras (16-XX)
661 Topological groups, Lie groups (22-XX)
629 Group theory and generalizations (20-XX)
623 Number theory (11-XX)
522 Nonassociative rings and algebras (17-XX)
375 Convex and discrete geometry (52-XX)
333 Quantum theory (81-XX)
279 Linear and multilinear algebra; matrix theory (15-XX)
242 Category theory; homological algebra (18-XX)
221 Several complex variables and analytic spaces (32-XX)
184 Special functions (33-XX)
175 Differential geometry (53-XX)
168 Computer science (68-XX)
159 Dynamical systems and ergodic theory (37-XX)
121 Manifolds and cell complexes (57-XX)
100 Numerical analysis (65-XX)
90 Field theory and polynomials (12-XX)
81 Order, lattices, ordered algebraic structures (06-XX)
80 Difference and functional equations (39-XX)
78 Functions of a complex variable (30-XX)
68 Geometry (51-XX)
67 Ordinary differential equations (34-XX)
65 Statistical mechanics, structure of matter (82-XX)
46 Partial differential equations (35-XX)
44 Algebraic topology (55-XX)
40 Relativity and gravitational theory (83-XX)
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13 Harmonic analysis on Euclidean spaces (42-XX)
11 Systems theory; control (93-XX)
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