Edit Profile (opens in new tab) Zelevinskiĭ, Andreĭ V. Compute Distance To: Compute Author ID: zelevinsky.andrei-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. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 116 Publications since 1973, including 3 Books 4 Further Contributions Biographic References: 5 Publications Co-Authors: 48 Co-Authors with 91 Joint Publications 1,607 Co-Co-Authors all top 5 Co-Authors 24 single-authored 27 Gel’fand, Israil’ Moiseevich 16 Kapranov, Mikhail M. 14 Fomin, Sergey Vladimirovich 10 Berenstein, Arkady 7 Weyman, Jerzy M. 5 Bernstein, Joseph 4 Lee, Kyungyong 4 Li, Li 4 Sturmfels, Bernd 3 Vasil’ev, Viktor Anatol’evich 2 Derksen, Harm 2 Magyar, Peter 2 Retakh, Vladimir Solomonovich 2 Rupel, Dylan C. 2 Serganova, Vera V. 1 Aigner, Martin 1 Alekseevskaya, T. V. 1 Barot, Michael 1 Berenshtejn, A. D. 1 Bourgain, Jean 1 Caldero, Philippe 1 Chapoton, Frédéric 1 Feĭgin, Boris L’vovich 1 Geiss, Christof 1 Gindikin, Simon Grigorevich 1 Graev, Mark Iosifovich 1 James, Gordon Douglas 1 Kazhdan, David A. 1 Knight, Harold K. 1 Kogan, Mikhail N. 1 Kostant, Bertram 1 Labardini-Fragoso, Daniel 1 Lax, Peter David 1 Leclerc, Bernard 1 Macdonald, Ian Grant 1 Marsh, Bethany Rose 1 Nakanishi, Tomoki 1 Nakashima, Toshiki 1 Narkunskaya, G. S. 1 Pressley, Andrew 1 Radul, A. O. 1 Reineke, Markus 1 Rosenthal, Joachim 1 Santhanakrishnan, Prakash 1 Segal, Graeme B. 1 Shapiro, Boris Zalmanovich 1 Shapiro, Michael Z. 1 Sherman, Paul 1 Singer, Isadore Manuel 1 Springer, Tonny Albert 1 Vainshtein, Alek 1 Vershik, Anatoliĭ Moiseevich 1 Vince, Andrew 1 Wilson, George 1 Yang, Shih-Wei 1 Ziegler, Günter Matthias 1 Zornickii, A. B. 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 all top 5 Fields 39 Algebraic geometry (14-XX) 35 Group theory and generalizations (20-XX) 35 Topological groups, Lie groups (22-XX) 32 Nonassociative rings and algebras (17-XX) 27 Combinatorics (05-XX) 20 Commutative algebra (13-XX) 18 Associative rings and algebras (16-XX) 14 Special functions (33-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Convex and discrete geometry (52-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Geometry (51-XX) 3 History and biography (01-XX) 3 Partial differential equations (35-XX) 3 Abstract harmonic analysis (43-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 6,114 times in 3,426 Documents Cited by ▼ Year ▼ Cluster algebras. I: Foundations. Zbl 1021.16017Fomin, Sergey; Zelevinsky, Andrei 730 2002 Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 717 1994 Cluster algebras. II: Finite type classification. Zbl 1054.17024Fomin, Sergey; Zelevinsky, Andrei 343 2003 Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014Zelevinsky, A. V. 314 1980 Induced representations of reductive \(p\)-adic groups. I. Zbl 0412.22015Bernstein, I. N.; Zelevinsky, A. V. 306 1977 Cluster algebras. IV: Coefficients. Zbl 1127.16023Fomin, Sergey; Zelevinsky, Andrei 283 2007 Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei 201 2005 \(Y\)-systems and generalized associahedra. Zbl 1057.52003Fomin, Sergey; Zelevinsky, Andrei 174 2003 Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei 171 2008 Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009Zelevinsky, Andrey V. 138 1981 Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei 134 2010 Tensor product multiplicities, canonical and totally positive varieties. Zbl 1061.17006Berenstein, Arkady; Zelevinsky, Andrei 118 2001 The Laurent phenomenon. Zbl 1012.05012Fomin, Sergey; Zelevinsky, Andrei 115 2002 Quantum cluster algebras. Zbl 1124.20028Berenstein, Arkady; Zelevinsky, Andrei 114 2005 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 112 2008 Double Bruhat cells and total positivity. Zbl 0913.22011Fomin, Sergey; Zelevinsky, Andrei 110 1999 Parametrizations of canonical bases and totally positive matrices. Zbl 0966.17011Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei 100 1996 Representations of the group \(\text{GL}(n,F)\) where \(F\) is a non-Archimedean local field. Zbl 0348.43007Bernshteĭn, I. N.; Zelevinskiĭ, A. V. 95 1976 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 86 1990 Total positivity: tests and parametrizations. Zbl 1052.15500Fomin, Sergey; Zelevinsky, Andrei 83 2000 Generalized associahedra via quiver representations. Zbl 1042.52007Marsh, Robert; Reineke, Markus; Zelevinsky, Andrei 77 2003 Representations of the group \(\text{GL}(n,F),\) where \(F\) is a local non-archimedean field. Zbl 0342.43017Bernshteĭn, I. N.; Zelevinskiĭ, A. V. 72 1976 Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 70 1989 Polytopal realizations of generalized associahedra. Zbl 1018.52007Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei 65 2002 Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014Nakashima, Toshiki; Zelevinsky, Andrei 62 1997 Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002Macdonald, I. G. 58 2015 Total positivity in Schubert varieties. Zbl 0891.20030Berenstein, Arkady; Zelevinsky, Andrei 55 1997 Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021Leclerc, Bernard; Zelevinsky, Andrei 51 1998 On tropical dualities in cluster algebras. Zbl 1317.13054Nakanishi, Tomoki; Zelevinsky, Andrei 48 2012 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 47 1992 Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018Sherman, Paul; Zelevinsky, Andrei 47 2004 Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070Barot, Michael; Geiss, Christof; Zelevinsky, Andrei 47 2006 Triple multiplicities for \(s\ell (r+1)\) and the spectrum of the exterior algebra of the adjoint representation. Zbl 0799.17005Berenstein, A. D.; Zelevinsky, A. V. 44 1992 String bases for quantum groups of type \(A_ r\). Zbl 0794.17007Berenstein, Arkady; Zelevinsky, Andrei 43 1993 A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence. Zbl 0464.20010Zelevinsky, A. V. 42 1981 Multiple flag varieties of finite type. Zbl 0951.14034Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei 39 1999 Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108Fomin, Sergey; Zelevinsky, Andrei 38 2003 Maximal minors and their leading terms. Zbl 0776.13009Sturmfels, Bernd; Zelevinsky, Andrei V. 33 1993 Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006Berenshtein, A. D.; Zelevinskii, A. V. 33 1988 Laurent expansions in cluster algebras via quiver representations. Zbl 1133.16012Caldero, Philippe; Zelevinsky, Andrei 31 2006 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 30 1991 Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006Berenstein, Arkady; Zelevinsky, Andrei 29 1996 Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010Yang, Shih-Wei; Zelevinsky, Andrei 28 2008 Nested complexes and their polyhedral realizations. Zbl 1109.52010Zelevinsky, Andrei 26 2006 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 25 1992 Greedy elements in rank 2 cluster algebras. Zbl 1295.13031Lee, Kyungyong; Li, Li; Zelevinsky, Andrei 21 2014 p-adic analog of the Kazhdan-Lusztig hypothesis. Zbl 0476.22014Zelevinskij, A. V. 21 1981 Symplectic multiple flag varieties of finite type. Zbl 0996.14023Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei 19 2000 Connected components of real double Bruhat cells. Zbl 0978.20021Zelevinsky, Andrei 19 2000 On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups. Zbl 1006.22015Kogan, Mikhail; Zelevinsky, Andrei 19 2002 Combinatorics of maximal minors. Zbl 0794.13021Bernstein, David; Zelevinsky, Andrei 18 1993 Littlewood-Richardson semigroups. Zbl 0935.05094Zelevinsky, Andrei 17 1999 Multigraded resultants of Sylvester type. Zbl 0813.13018Sturmfels, Bernd; Zelevinsky, Andrei V. 16 1994 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 16 1990 Models of representations of classical groups and their hidden symmetries. Zbl 0573.22008Gel’fand, I. M.; Zelevinskiĭ, A. V. 16 1984 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 15 1990 Singularities of hyperdeterminants. Zbl 0853.14001Weyman, Jerzy; Zelevinsky, Andrei 15 1996 Two remarks on graded nilpotent classes. Zbl 0577.20032Zelevinskiĭ, A. V. 15 1985 Triangular bases in quantum cluster algebras. Zbl 1303.13026Berenstein, Arkady; Zelevinsky, Andrei 14 2014 Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009Knight, Harold; Zelevinsky, Andrei 13 1996 Multiplicities of points on Schubert varieties in Grassmannians. Zbl 1015.14025Rosenthal, Joachim; Zelevinsky, Andrei 13 2001 Small resolutions of singularities of Schubert varieties. Zbl 0559.14006Zelevinskij, A. V. 13 1983 Resolutions, dual pairs, and character formulas. Zbl 0636.17003Zelevinskij, A. V. 12 1987 Discriminants of polynomials in several variables. Zbl 0719.15003Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 12 1990 Determinantal formulas for multigraded resultants. Zbl 0816.13007Weyman, Jerzy; Zelevinsky, Andrei 11 1994 A p-adic analogue of a conjecture of Kazhdan-Lusztig. Zbl 0463.22013Zelevinskij, A. V. 11 1981 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 10 1993 Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V. 10 1987 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 10 1988 Multiplicative properties of projectively dual varieties. Zbl 0839.14039Weyman, Jerzy; Zelevinsky, Andrei 10 1994 Recognizing Schubert cells. Zbl 1056.14504Fomin, Sergey; Zelevinsky, Andrei 9 2000 General hypergeometric functions on complex Grassmannians. Zbl 0625.33006Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V. 9 1987 A geometric characterization of Coxeter matroids. Zbl 0927.05020Serganova, V. V.; Vince, A.; Zelevinsky, A. 9 1997 Models of representations of classical groups and their latent symmetries. Zbl 0556.22003Gel’fand, I. M.; Zelevinskii, A. V. 9 1984 Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022Springer, T. A.; Zelevinsky, A. V. 9 1984 Strongly primitive species with potentials. I: Mutations. Zbl 1378.16024Labardini-Fragoso, Daniel; Zelevinsky, Andrei 8 2016 Totally nonnegative and oscillatory elements in semisimple groups. Zbl 0953.22016Fomin, Sergey; Zelevinsky, Andrei 8 2000 Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015Zelevinsky, Andrei 8 2007 What is \(\dots\) a cluster algebra? Zbl 1130.13301Zelevinsky, Andrei 8 2007 An arrangement of real hyperplanes and the partition function connected with it. Zbl 0662.51010Alekseevskaya, T. V.; Gel’fand, I. M.; Zelevinskij, A. V. 7 1988 Simply laced Coxeter groups and groups generated by symplectic transvections. Zbl 0998.20038Shapiro, Boris; Shapiro, Michael; Vainshtein, Alek; Zelevinsky, Andrei 7 2000 Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Zbl 0619.33004Gel’fand, I. M.; Zelevinskij, A. V. 7 1986 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 6 1989 From Littlewood-Richardson coefficients to cluster algebras in three lectures. Zbl 1155.17303Zelevinsky, Andrei 6 2002 Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034Lee, Kyungyong; Li, Li; Zelevinsky, Andrei 5 2014 Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei 5 2014 When is the multiplicity of a weight equal to 1? Zbl 0718.17008Berenshtejn, A. D.; Zelevinskij, A. V. 4 1990 Induzierte Darstellungen der Gruppe \(\text{GL}(n)\) über einem \(\mathfrak p\)-adischen Körper. Zbl 0335.22013Bernstein, I. N.; Zelevinskiĭ, A. V. 4 1976 Classification of irreducible noncuspidal representations of \(GL_n\) over the \(p\)-adic field. Zbl 0371.22015Zelevinskii, A. V. 4 1977 Multisegment duality, canonical bases and total positivity. Zbl 0918.05104Zelevinsky, Andrei 3 1998 General hypergeometric functions on complex Grassmannians. Zbl 0614.33008Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskii, A. V. 3 1987 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1989 A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1990 Induced representations of the group \(\text{GL}(n)\) over a \(\mathfrak p\)-adic field. Zbl 0342.22014Bernstein, I. N.; Zelevinskiĭ, A. V. 3 1977 Classification of irreducible non-cuspidal representations of the group \(GL_n\) over a \(p\)-adic field. Zbl 0363.22012Zelevinskii, A. V. 3 1977 Involutions on Gel’fand-Tsetlin schemes and multiplicities in skew \(GL_ n\)-modules. Zbl 0674.20024Berenshtejn, A. D.; Zelevinskij, A. V. 2 1988 Canonical basis in irreducible representations of \({\mathfrak gl}_ 3\) and its applications. Zbl 0668.17006Gel’fand, I.; Zelevinskij, A. 1 1986 The base affine space and canonical basis in irreducible representations of the group \(Sp_ 4\). Zbl 0672.22013Zelevinskij, A. V.; Retakh, V. S. 1 1988 Multiplicities and proper bases for \({\mathfrak gl}_ n\). Zbl 0677.17003Gel’fand, I. M.; Zelevinskii, A. 1 1986 Polyhedra in the scheme space and the canonical basis in irreducible representations of \({\mathfrak gl}_ 3\). Zbl 0606.17006Gel’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 1378.16024Labardini-Fragoso, Daniel; Zelevinsky, Andrei 8 2016 The existence of greedy bases in rank 2 quantum cluster algebras. Zbl 1397.16022Lee, 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 1332.05002Macdonald, I. G. 58 2015 Greedy elements in rank 2 cluster algebras. Zbl 1295.13031Lee, Kyungyong; Li, Li; Zelevinsky, Andrei 21 2014 Triangular bases in quantum cluster algebras. Zbl 1303.13026Berenstein, Arkady; Zelevinsky, Andrei 14 2014 Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034Lee, Kyungyong; Li, Li; Zelevinsky, Andrei 5 2014 Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei 5 2014 On tropical dualities in cluster algebras. Zbl 1317.13054Nakanishi, Tomoki; Zelevinsky, Andrei 48 2012 Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei 134 2010 Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei 171 2008 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 112 2008 Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010Yang, Shih-Wei; Zelevinsky, Andrei 28 2008 Cluster algebras. IV: Coefficients. Zbl 1127.16023Fomin, Sergey; Zelevinsky, Andrei 283 2007 Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015Zelevinsky, Andrei 8 2007 What is \(\dots\) a cluster algebra? Zbl 1130.13301Zelevinsky, Andrei 8 2007 Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070Barot, Michael; Geiss, Christof; Zelevinsky, Andrei 47 2006 Laurent expansions in cluster algebras via quiver representations. Zbl 1133.16012Caldero, Philippe; Zelevinsky, Andrei 31 2006 Nested complexes and their polyhedral realizations. Zbl 1109.52010Zelevinsky, Andrei 26 2006 Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei 201 2005 Quantum cluster algebras. Zbl 1124.20028Berenstein, Arkady; Zelevinsky, Andrei 114 2005 Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018Sherman, Paul; Zelevinsky, Andrei 47 2004 Cluster algebras: origins, results and conjectures. Zbl 1066.22016Zelevinsky, Andrei 1 2004 Cluster algebras. II: Finite type classification. Zbl 1054.17024Fomin, Sergey; Zelevinsky, Andrei 343 2003 \(Y\)-systems and generalized associahedra. Zbl 1057.52003Fomin, Sergey; Zelevinsky, Andrei 174 2003 Generalized associahedra via quiver representations. Zbl 1042.52007Marsh, Robert; Reineke, Markus; Zelevinsky, Andrei 77 2003 Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108Fomin, Sergey; Zelevinsky, Andrei 38 2003 Cluster algebras. I: Foundations. Zbl 1021.16017Fomin, Sergey; Zelevinsky, Andrei 730 2002 The Laurent phenomenon. Zbl 1012.05012Fomin, Sergey; Zelevinsky, Andrei 115 2002 Polytopal realizations of generalized associahedra. Zbl 1018.52007Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei 65 2002 On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups. Zbl 1006.22015Kogan, Mikhail; Zelevinsky, Andrei 19 2002 From Littlewood-Richardson coefficients to cluster algebras in three lectures. Zbl 1155.17303Zelevinsky, Andrei 6 2002 Tensor product multiplicities, canonical and totally positive varieties. Zbl 1061.17006Berenstein, Arkady; Zelevinsky, Andrei 118 2001 Multiplicities of points on Schubert varieties in Grassmannians. Zbl 1015.14025Rosenthal, Joachim; Zelevinsky, Andrei 13 2001 Total positivity: tests and parametrizations. Zbl 1052.15500Fomin, Sergey; Zelevinsky, Andrei 83 2000 Symplectic multiple flag varieties of finite type. Zbl 0996.14023Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei 19 2000 Connected components of real double Bruhat cells. Zbl 0978.20021Zelevinsky, Andrei 19 2000 Recognizing Schubert cells. Zbl 1056.14504Fomin, Sergey; Zelevinsky, Andrei 9 2000 Totally nonnegative and oscillatory elements in semisimple groups. Zbl 0953.22016Fomin, Sergey; Zelevinsky, Andrei 8 2000 Simply laced Coxeter groups and groups generated by symplectic transvections. Zbl 0998.20038Shapiro, Boris; Shapiro, Michael; Vainshtein, Alek; Zelevinsky, Andrei 7 2000 Double Bruhat cells and total positivity. Zbl 0913.22011Fomin, Sergey; Zelevinsky, Andrei 110 1999 Multiple flag varieties of finite type. Zbl 0951.14034Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei 39 1999 Littlewood-Richardson semigroups. Zbl 0935.05094Zelevinsky, Andrei 17 1999 Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021Leclerc, Bernard; Zelevinsky, Andrei 51 1998 Multisegment duality, canonical bases and total positivity. Zbl 0918.05104Zelevinsky, Andrei 3 1998 Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014Nakashima, Toshiki; Zelevinsky, Andrei 62 1997 Total positivity in Schubert varieties. Zbl 0891.20030Berenstein, Arkady; Zelevinsky, Andrei 55 1997 A geometric characterization of Coxeter matroids. Zbl 0927.05020Serganova, V. V.; Vince, A.; Zelevinsky, A. 9 1997 Parametrizations of canonical bases and totally positive matrices. Zbl 0966.17011Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei 100 1996 Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006Berenstein, Arkady; Zelevinsky, Andrei 29 1996 Singularities of hyperdeterminants. Zbl 0853.14001Weyman, Jerzy; Zelevinsky, Andrei 15 1996 Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009Knight, Harold; Zelevinsky, Andrei 13 1996 Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 717 1994 Multigraded resultants of Sylvester type. Zbl 0813.13018Sturmfels, Bernd; Zelevinsky, Andrei V. 16 1994 Determinantal formulas for multigraded resultants. Zbl 0816.13007Weyman, Jerzy; Zelevinsky, Andrei 11 1994 Multiplicative properties of projectively dual varieties. Zbl 0839.14039Weyman, Jerzy; Zelevinsky, Andrei 10 1994 Simple vertices of maximal minor polytopes. Zbl 0797.52008Santhanakrishnan, Prakash; Zelevinsky, Andrei 1 1994 String bases for quantum groups of type \(A_ r\). Zbl 0794.17007Berenstein, Arkady; Zelevinsky, Andrei 43 1993 Maximal minors and their leading terms. Zbl 0776.13009Sturmfels, Bernd; Zelevinsky, Andrei V. 33 1993 Combinatorics of maximal minors. Zbl 0794.13021Bernstein, David; Zelevinsky, Andrei 18 1993 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 10 1993 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 47 1992 Triple multiplicities for \(s\ell (r+1)\) and the spectrum of the exterior algebra of the adjoint representation. Zbl 0799.17005Berenstein, A. D.; Zelevinsky, A. V. 44 1992 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 25 1992 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 30 1991 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 1 1991 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 86 1990 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 16 1990 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 15 1990 Discriminants of polynomials in several variables. Zbl 0719.15003Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 12 1990 When is the multiplicity of a weight equal to 1? Zbl 0718.17008Berenshtejn, A. D.; Zelevinskij, A. V. 4 1990 A-discriminants and Cayley-Koszul complexes. Zbl 0716.13016Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1990 Hypergeometric functions and toric varieties. (Hypergeometric functions and toral manifolds.) Zbl 0721.33006Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 70 1989 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 6 1989 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 3 1989 Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006Berenshtein, A. D.; Zelevinskii, A. V. 33 1988 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 10 1988 An arrangement of real hyperplanes and the partition function connected with it. Zbl 0662.51010Alekseevskaya, 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 0674.20024Berenshtejn, A. D.; Zelevinskij, A. V. 2 1988 The base affine space and canonical basis in irreducible representations of the group \(Sp_ 4\). Zbl 0672.22013Zelevinskij, A. V.; Retakh, V. S. 1 1988 Resolutions, dual pairs, and character formulas. Zbl 0636.17003Zelevinskij, A. V. 12 1987 Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V. 10 1987 General hypergeometric functions on complex Grassmannians. Zbl 0625.33006Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V. 9 1987 General hypergeometric functions on complex Grassmannians. Zbl 0614.33008Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskii, A. V. 3 1987 Resolutions, dual pairs, and formulae for characters. Zbl 0631.17003Zelevinskiĭ, A. V. 1 1987 Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Zbl 0619.33004Gel’fand, I. M.; Zelevinskij, A. V. 7 1986 Canonical basis in irreducible representations of \({\mathfrak gl}_ 3\) and its applications. Zbl 0668.17006Gel’fand, I.; Zelevinskij, A. 1 1986 Multiplicities and proper bases for \({\mathfrak gl}_ n\). Zbl 0677.17003Gel’fand, I. M.; Zelevinskii, A. 1 1986 Two remarks on graded nilpotent classes. Zbl 0577.20032Zelevinskiĭ, A. V. 15 1985 Polyhedra in the scheme space and the canonical basis in irreducible representations of \({\mathfrak gl}_ 3\). Zbl 0606.17006Gel’fand, I. M.; Zelevinskij, A. V. 1 1985 Models of representations of classical groups and their hidden symmetries. Zbl 0573.22008Gel’fand, I. M.; Zelevinskiĭ, A. V. 16 1984 Models of representations of classical groups and their latent symmetries. Zbl 0556.22003Gel’fand, I. M.; Zelevinskii, A. V. 9 1984 Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022Springer, T. A.; Zelevinsky, A. V. 9 1984 Small resolutions of singularities of Schubert varieties. Zbl 0559.14006Zelevinskij, A. V. 13 1983 The representation theory of the symmetric groups. (Teoriya predstavlenij simmetricheskikh grupp). Transl. from the English by A. V. Zelevinskij and S. V. Kerov. Zbl 0525.20003James, G. D. 1 1982 Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009Zelevinsky, Andrey V. 138 1981 A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence. Zbl 0464.20010Zelevinsky, A. V. 42 1981 p-adic analog of the Kazhdan-Lusztig hypothesis. Zbl 0476.22014Zelevinskij, A. V. 21 1981 A p-adic analogue of a conjecture of Kazhdan-Lusztig. Zbl 0463.22013Zelevinskij, A. V. 11 1981 Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014Zelevinsky, A. V. 314 1980 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,956 Authors 42 Schiffler, Ralf 35 Zelevinskiĭ, Andreĭ V. 33 Sturmfels, Bernd 27 Marsh, Bethany Rose 26 Flicker, Yuval Z. 24 Dickenstein, Alicia M. 23 Zhu, Bin 22 Assem, Ibrahim 19 Pilaud, Vincent 18 Fomin, Sergey Vladimirovich 18 Reading, Nathan 17 Kapranov, Mikhail M. 17 Koshevoy, Gleb A. 17 Pylyavskyy, Pavlo 17 Shapiro, Michael Z. 17 Tadić, Marko 17 Yakimov, Milen T. 16 Iyama, Osamu 16 Keller, Bernhard 16 Lee, Kyungyong 15 Buan, Aslak Bakke 15 Ding, Ming 15 Igusa, Kiyoshi 15 Reiten, Idun 15 Speyer, David E. 15 Williams, Lauren K. 14 Berenstein, Arkady 14 Geiss, Christof 14 Jantzen, Chris 14 Lam, Thomas F. 14 Leclerc, Bernard 14 Nakashima, Toshiki 13 Brüstle, Thomas 13 Danilov, Vladimir I. 13 Henniart, Guy M. 13 Hone, Andrew N. W. 13 Jing, Naihuan 13 Karzanov, Aleksandr V. 13 Lapid, Erez Moshe 13 Li, Fang 13 Matić, Ivan 13 Matringe, Nadir 13 Offen, Omer 13 Tsikh, Avgust Karlovich 13 Xu, Fan 12 Baur, Karin 12 Busé, Laurent 12 Di Francesco, Philippe 12 Dupont, Grégoire 12 Emiris, Ioannis Z. 12 Matusevich, Laura Felicia 12 Sayag, Eitan 12 Schröer, Jan 12 Stella, Salvatore 11 Aubert, Anne-Marie 11 Caldero, Philippe 11 Ceballos, Cesar 11 Cerulli Irelli, Giovanni 11 D’Andrea, Carlos 11 Galashin, Pavel 11 Hanzer, Marcela 11 Morier-Genoud, Sophie 11 Muić, Goran 11 Musiker, Gregg 11 Plamondon, Pierre-Guy 11 Rietsch, Konstanze 11 Rupel, Dylan C. 11 Shin, Dong-Uy 11 Todorov, Gordana 11 Tumarkin, Pavel 11 Zhang, Weinian 10 Canakci, Ilke 10 Felikson, Anna Aleksandrovna 10 Forsgård, Jens 10 Gekhtman, Mikhaèl I. 10 Gourevitch, Dmitry 10 Kim, Jeong-Ah 10 Labardini-Fragoso, Daniel 10 Mínguez, Alberto 10 Ottaviani, Giorgio Maria 10 Plymen, Roger J. 10 Reiner, Victor 10 Rojas, J. Maurice 10 Santos, Francisco 10 Serhiyenko, Khrystyna 10 Thomas, Hugh Ross 10 Vainshtein, Alek 10 Weyman, Jerzy M. 9 Aizenbud, Avraham 9 Amiot, Claire 9 Cao, Peigen 9 Gel’fand, Israil’ Moiseevich 9 Inoue, Rei 9 Kazhdan, David A. 9 McConville, Thomas 9 Michałek, Mateusz 9 Mikhalkin, Evgeniĭ N. 9 Seven, Ahmet I. 9 Takeuchi, Kiyoshi 9 Tingley, Peter W. ...and 2,856 more Authors all top 5 Cited in 353 Serials 239 Journal of Algebra 227 Advances in Mathematics 110 Transactions of the American Mathematical Society 96 Journal of Algebraic Combinatorics 85 Journal of Pure and Applied Algebra 77 Duke Mathematical Journal 73 Journal of Symbolic Computation 69 Algebras and Representation Theory 68 Journal of Combinatorial Theory. Series A 68 Linear Algebra and its Applications 64 Journal of High Energy Physics 63 Mathematische Zeitschrift 62 Compositio Mathematica 60 Communications in Algebra 60 Selecta Mathematica. 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Série VI 7 Journal of Algebraic Geometry 6 Beiträge zur Algebra und Geometrie 6 Bulletin de la Société Mathématique de France 6 Journal of Differential Equations 6 Journal of the Mathematical Society of Japan 6 Osaka Journal of Mathematics 6 SIAM Journal on Discrete Mathematics 6 IMRN. International Mathematics Research Notices 6 The Journal of Geometric Analysis 6 Geometric and Functional Analysis. GAFA 6 Mémoires de la Société Mathématique de France. Nouvelle Série 6 Algebra Colloquium 6 Finite Fields and their Applications 6 Journal of Lie Theory ...and 253 more Serials all top 5 Cited in 62 Fields 969 Algebraic geometry (14-XX) 760 Commutative algebra (13-XX) 717 Combinatorics (05-XX) 601 Associative rings and algebras (16-XX) 537 Topological groups, Lie groups (22-XX) 505 Group theory and generalizations (20-XX) 475 Number theory (11-XX) 424 Nonassociative rings and algebras (17-XX) 276 Convex and discrete geometry (52-XX) 242 Quantum theory (81-XX) 221 Linear and multilinear algebra; matrix theory (15-XX) 208 Category theory; homological algebra (18-XX) 177 Several complex variables and analytic spaces (32-XX) 141 Special functions (33-XX) 136 Differential geometry (53-XX) 134 Dynamical systems and ergodic theory (37-XX) 129 Computer science (68-XX) 88 Manifolds and cell complexes (57-XX) 77 Numerical analysis (65-XX) 76 Field theory and polynomials (12-XX) 64 Order, lattices, ordered algebraic structures (06-XX) 61 Difference and functional equations (39-XX) 57 Functions of a complex variable (30-XX) 57 Ordinary differential equations (34-XX) 49 Geometry (51-XX) 39 Partial differential equations (35-XX) 39 Statistical mechanics, structure of matter (82-XX) 35 Algebraic topology (55-XX) 35 Relativity and gravitational theory (83-XX) 32 Probability theory and stochastic processes (60-XX) 30 Mechanics of particles and systems (70-XX) 29 Real functions (26-XX) 28 Functional analysis (46-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Biology and other natural sciences (92-XX) 24 Operations research, mathematical programming (90-XX) 22 Abstract harmonic analysis (43-XX) 17 \(K\)-theory (19-XX) 16 Operator theory (47-XX) 14 Statistics (62-XX) 12 Mathematical logic and foundations (03-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Systems theory; control (93-XX) 8 Information and communication theory, circuits (94-XX) 7 Approximations and expansions (41-XX) 6 Potential theory (31-XX) 6 Integral transforms, operational calculus (44-XX) 5 Measure and integration (28-XX) 5 General topology (54-XX) 4 History and biography (01-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 2 General algebraic systems (08-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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