Edit Profile Zelevinskiĭ, Andreĭ V. Compute Distance To: Compute Author ID: zelevinsky.andrei-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 Co-Authors 24 single-authored 27 Gel’fand, Israil’ Moiseevich 16 Kapranov, Mikhail M. 13 Fomin, Sergey Vladimirovich 9 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 Berenshtejn, A. D. 2 Derksen, Harm 2 Magyar, Peter 2 Retakh, Vladimir Solomonovich 2 Rupel, Dylan C. 2 Serganova, Vera V. 1 Alekseevskaya, T. V. 1 Barot, Michael 1 Berenshtein, A. D. 1 Bernstein, David H. 1 Caldero, Philippe 1 Chapoton, Frédéric 1 Feĭgin, Boris L’vovich 1 Geiss, Christof 1 Gindikin, Simon Grigorevich 1 Graev, Mark Iosifovich 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 Marsh, Robert James 1 Nakanishi, Tomoki 1 Nakashima, Toshiki 1 Narkunskaja, G. S. 1 Reineke, Markus 1 Rosenthal, Joachim 1 Santhanakrishnan, Prakash 1 Shapiro, Boris Zalmanovich 1 Shapiro, Michael Z. 1 Sherman, Paul 1 Singer, Isadore M. 1 Springer, Tonny Albert 1 Vainshtein, Alek 1 Vershik, Anatoliĭ Moiseevich 1 Vince, Andrew 1 Yang, Shih-Wei 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 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 all top 5 Fields 38 Algebraic geometry (14-XX) 34 Group theory and generalizations (20-XX) 34 Topological groups, Lie groups (22-XX) 31 Nonassociative rings and algebras (17-XX) 26 Combinatorics (05-XX) 20 Commutative algebra (13-XX) 18 Associative rings and algebras (16-XX) 13 Special functions (33-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Convex and discrete geometry (52-XX) 4 Geometry (51-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-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 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 1 History and biography (01-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 Functional analysis (46-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 105 Publications have been cited 5,668 times in 3,177 Documents Cited by ▼ Year ▼ Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 682 1994 Cluster algebras. I: Foundations. Zbl 1021.16017Fomin, Sergey; Zelevinsky, Andrei 654 2002 Cluster algebras. II: Finite type classification. Zbl 1054.17024Fomin, Sergey; Zelevinsky, Andrei 313 2003 Induced representations of reductive \(p\)-adic groups. I. Zbl 0412.22015Bernstein, I. N.; Zelevinsky, A. V. 288 1977 Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014Zelevinsky, A. V. 286 1980 Cluster algebras. IV: Coefficients. Zbl 1127.16023Fomin, Sergey; Zelevinsky, Andrei 259 2007 Cluster algebras. III: Upper bounds and double Bruhat cells. Zbl 1135.16013Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei 187 2005 \(Y\)-systems and generalized associahedra. Zbl 1057.52003Fomin, Sergey; Zelevinsky, Andrei 160 2003 Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009Zelevinsky, Andrey V. 159 1981 Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei 157 2008 Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei 123 2010 The Laurent phenomenon. Zbl 1012.05012Fomin, Sergey; Zelevinsky, Andrei 107 2002 Tensor product multiplicities, canonical and totally positive varieties. Zbl 1061.17006Berenstein, Arkady; Zelevinsky, Andrei 103 2001 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 102 2008 Double Bruhat cells and total positivity. Zbl 0913.22011Fomin, Sergey; Zelevinsky, Andrei 101 1999 Quantum cluster algebras. Zbl 1124.20028Berenstein, Arkady; Zelevinsky, Andrei 97 2005 Representations of the group \(\text{GL}(n,F)\) where \(F\) is a non-Archimedean local field. Zbl 0348.43007Bernshteĭn, I. N.; Zelevinskiĭ, A. V. 92 1976 Parametrizations of canonical bases and totally positive matrices. Zbl 0966.17011Berenstein, Arkady; Fomin, Sergey; Zelevinsky, Andrei 89 1996 Generalized Euler integrals and \(A\)-hypergeometric functions. Zbl 0741.33011Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 82 1990 Total positivity: tests and parametrizations. Zbl 1052.15500Fomin, Sergey; Zelevinsky, Andrei 77 2000 Hypergeometric functions and toric varieties. Zbl 0721.33006Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 77 1989 Generalized associahedra via quiver representations. Zbl 1042.52007Marsh, Robert; Reineke, Markus; Zelevinsky, Andrei 76 2003 Representations of the group \(\text{GL}(n,F),\) where \(F\) is a local non-archimedean field. Zbl 0342.43017Bernshteĭn, I. N.; Zelevinskiĭ, A. V. 70 1976 Polytopal realizations of generalized associahedra. Zbl 1018.52007Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei 59 2002 Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014Nakashima, Toshiki; Zelevinsky, Andrei 58 1997 Total positivity in Schubert varieties. Zbl 0891.20030Berenstein, Arkady; Zelevinsky, Andrei 51 1997 Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018Sherman, Paul; Zelevinsky, Andrei 45 2004 Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021Leclerc, Bernard; Zelevinsky, Andrei 45 1998 On tropical dualities in cluster algebras. Zbl 1317.13054Nakanishi, Tomoki; Zelevinsky, Andrei 44 2012 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, 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 0799.17005Berenstein, A. D.; Zelevinsky, A. V. 42 1992 String bases for quantum groups of type \(A_ r\). Zbl 0794.17007Berenstein, Arkady; Zelevinsky, Andrei 40 1993 A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence. Zbl 0464.20010Zelevinsky, A. V. 40 1981 Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108Fomin, Sergey; Zelevinsky, Andrei 39 2003 Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070Barot, Michael; Geiss, Christof; Zelevinsky, Andrei 38 2006 Multiple flag varieties of finite type. Zbl 0951.14034Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei 35 1999 Laurent expansions in cluster algebras via quiver representations. Zbl 1133.16012Caldero, Philippe; Zelevinsky, Andrei 31 2006 Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006Berenshtein, A. D.; Zelevinskii, A. V. 30 1988 Maximal minors and their leading terms. Zbl 0776.13009Sturmfels, Bernd; Zelevinsky, Andrei V. 29 1993 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 27 1991 Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010Yang, Shih-Wei; Zelevinsky, Andrei 26 2008 Nested complexes and their polyhedral realizations. Zbl 1109.52010Zelevinsky, Andrei 26 2006 Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006Berenstein, Arkady; Zelevinsky, Andrei 24 1996 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 24 1992 p-adic analog of the Kazhdan-Lusztig hypothesis. Zbl 0476.22014Zelevinskij, A. V. 21 1981 Greedy elements in rank 2 cluster algebras. Zbl 1295.13031Lee, Kyungyong; Li, Li; Zelevinsky, Andrei 19 2014 On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups. Zbl 1006.22015Kogan, Mikhail; Zelevinsky, Andrei 18 2002 Connected components of real double Bruhat cells. Zbl 0978.20021Zelevinsky, Andrei 18 2000 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 18 1990 Symplectic multiple flag varieties of finite type. Zbl 0996.14023Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei 17 2000 Littlewood-Richardson semigroups. Zbl 0935.05094Zelevinsky, Andrei 17 1999 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 17 1990 Combinatorics of maximal minors. Zbl 0794.13021Bernstein, David; Zelevinsky, Andrei 16 1993 Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V. 16 1987 Models of representations of classical groups and their hidden symmetries. Zbl 0573.22008Gel’fand, I. M.; Zelevinskiĭ, A. V. 16 1984 Multigraded resultants of Sylvester type. Zbl 0813.13018Sturmfels, Bernd; Zelevinsky, Andrei V. 15 1994 Two remarks on graded nilpotent classes. Zbl 0577.20032Zelevinskiĭ, A. V. 14 1985 Triangular bases in quantum cluster algebras. Zbl 1303.13026Berenstein, Arkady; Zelevinsky, Andrei 13 2014 Multiplicities of points on Schubert varieties in Grassmannians. Zbl 1015.14025Rosenthal, Joachim; Zelevinsky, Andrei 13 2001 Singularities of hyperdeterminants. Zbl 0853.14001Weyman, Jerzy; Zelevinsky, Andrei 13 1996 Small resolutions of singularities of Schubert varieties. Zbl 0559.14006Zelevinskij, A. V. 13 1983 Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009Knight, Harold; Zelevinsky, Andrei 12 1996 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 12 1993 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. 11 1990 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 11 1988 Determinantal formulas for multigraded resultants. Zbl 0816.13007Weyman, Jerzy; Zelevinsky, Andrei 10 1994 General hypergeometric functions on complex Grassmannians. Zbl 0625.33006Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V. 10 1987 Models of representations of classical groups and their latent symmetries. Zbl 0556.22003Gel’fand, I. M.; Zelevinskii, A. V. 10 1984 Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022Springer, T. A.; Zelevinsky, A. V. 10 1984 A p-adic analogue of a conjecture of Kazhdan-Lusztig. Zbl 0463.22013Zelevinskij, A. V. 10 1981 Recognizing Schubert cells. Zbl 1056.14504Fomin, Sergey; Zelevinsky, Andrei 9 2000 A geometric characterization of Coxeter matroids. Zbl 0927.05020Serganova, V. V.; Vince, A.; Zelevinsky, A. 9 1997 Multiplicative properties of projectively dual varieties. Zbl 0839.14039Weyman, Jerzy; Zelevinsky, Andrei 9 1994 Strongly primitive species with potentials. I: Mutations. Zbl 1378.16024Labardini-Fragoso, Daniel; Zelevinsky, Andrei 8 2016 What is \(\dots\) a cluster algebra? Zbl 1130.13301Zelevinsky, Andrei 8 2007 Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015Zelevinsky, Andrei 8 2007 Totally nonnegative and oscillatory elements in semisimple groups. Zbl 0953.22016Fomin, Sergey; Zelevinsky, Andrei 8 2000 Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Zbl 0619.33004Gel’fand, I. M.; Zelevinskij, A. V. 8 1986 Simply laced Coxeter groups and groups generated by symplectic transvections. Zbl 0998.20038Shapiro, Boris; Shapiro, Michael; Vainshtein, Alek; Zelevinsky, Andrei 7 2000 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 7 1989 An arrangement of real hyperplanes and the partition function connected with it. Zbl 0662.51010Alekseevskaya, T. V.; Gel’fand, I. M.; Zelevinskij, A. V. 7 1988 From Littlewood-Richardson coefficients to cluster algebras in three lectures. Zbl 1155.17303Zelevinsky, Andrei 6 2002 Induzierte Darstellungen der Gruppe \(\text{GL}(n)\) über einem \(\mathfrak p\)-adischen Körper. Zbl 0335.22013Bernstein, I. N.; Zelevinskiĭ, A. V. 5 1976 Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei 4 2014 Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034Lee, Kyungyong; Li, Li; Zelevinsky, Andrei 4 2014 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. 4 1990 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042Gel’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 0371.22015Zelevinskii, A. V. 4 1977 General hypergeometric functions on complex Grassmannians. Zbl 0614.33008Vasil’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 0668.17006Gel’fand, I.; Zelevinskij, A. 3 1986 Classification of irreducible non-cuspidal representations of the group \(GL_n\) over a \(p\)-adic field. Zbl 0363.22012Zelevinskii, A. V. 3 1977 Induced representations of the group \(\text{GL}(n)\) over a \(\mathfrak p\)-adic field. Zbl 0342.22014Bernstein, I. N.; Zelevinskiĭ, A. V. 3 1977 Multisegment duality, canonical bases and total positivity. Zbl 0918.05104Zelevinsky, Andrei 2 1998 Involutions on Gel’fand-Tsetlin schemes and multiplicities in skew \(GL_ n\)-modules. Zbl 0674.20024Berenshtejn, A. D.; Zelevinskij, A. V. 2 1988 The existence of greedy bases in rank 2 quantum cluster algebras. Zbl 1397.16022Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei 1 2016 Cluster algebras: origins, results and conjectures. Zbl 1066.22016Zelevinsky, Andrei 1 2004 Simple vertices of maximal minor polytopes. Zbl 0797.52008Santhanakrishnan, Prakash; Zelevinsky, Andrei 1 1994 Hypergeometric functions, toric varieties and Newton polyhedra. Zbl 0785.33008Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 1 1991 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 Greedy elements in rank 2 cluster algebras. Zbl 1295.13031Lee, Kyungyong; Li, Li; Zelevinsky, Andrei 19 2014 Triangular bases in quantum cluster algebras. Zbl 1303.13026Berenstein, Arkady; Zelevinsky, Andrei 13 2014 Greedy bases in rank 2 quantum cluster algebras. Zbl 1355.13018Lee, Kyungyong; Li, Li; Rupel, Dylan; Zelevinsky, Andrei 4 2014 Positivity and tameness in rank 2 cluster algebras. Zbl 1316.13034Lee, Kyungyong; Li, Li; Zelevinsky, Andrei 4 2014 On tropical dualities in cluster algebras. Zbl 1317.13054Nakanishi, Tomoki; Zelevinsky, Andrei 44 2012 Quivers with potentials and their representations. II: Applications to cluster algebras. Zbl 1208.16017Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei 123 2010 Quivers with potentials and their representations. I: Mutations. Zbl 1204.16008Derksen, Harm; Weyman, Jerzy; Zelevinsky, Andrei 157 2008 Discriminants, resultants, and multidimensional determinants. Reprint of the 1994 edition. Zbl 1138.14001Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 102 2008 Cluster algebras of finite type via Coxeter elements and principal minors. Zbl 1177.16010Yang, Shih-Wei; Zelevinsky, Andrei 26 2008 Cluster algebras. IV: Coefficients. Zbl 1127.16023Fomin, Sergey; Zelevinsky, Andrei 259 2007 What is \(\dots\) a cluster algebra? Zbl 1130.13301Zelevinsky, Andrei 8 2007 Semicanonical basis generators of the cluster algebra of type \(A_1^{(1)}\). Zbl 1144.16015Zelevinsky, Andrei 8 2007 Cluster algebras of finite type and positive symmetrizable matrices. Zbl 1093.05070Barot, Michael; Geiss, Christof; Zelevinsky, Andrei 38 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 187 2005 Quantum cluster algebras. Zbl 1124.20028Berenstein, Arkady; Zelevinsky, Andrei 97 2005 Positivity and canonical bases in rank 2 cluster algebras of finite and affine types. Zbl 1103.16018Sherman, Paul; Zelevinsky, Andrei 45 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 313 2003 \(Y\)-systems and generalized associahedra. Zbl 1057.52003Fomin, Sergey; Zelevinsky, Andrei 160 2003 Generalized associahedra via quiver representations. Zbl 1042.52007Marsh, Robert; Reineke, Markus; Zelevinsky, Andrei 76 2003 Cluster algebras: notes for the CDM-03 conference. Zbl 1119.05108Fomin, Sergey; Zelevinsky, Andrei 39 2003 Cluster algebras. I: Foundations. Zbl 1021.16017Fomin, Sergey; Zelevinsky, Andrei 654 2002 The Laurent phenomenon. Zbl 1012.05012Fomin, Sergey; Zelevinsky, Andrei 107 2002 Polytopal realizations of generalized associahedra. Zbl 1018.52007Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei 59 2002 On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups. Zbl 1006.22015Kogan, Mikhail; Zelevinsky, Andrei 18 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 103 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 77 2000 Connected components of real double Bruhat cells. Zbl 0978.20021Zelevinsky, Andrei 18 2000 Symplectic multiple flag varieties of finite type. Zbl 0996.14023Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei 17 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 101 1999 Multiple flag varieties of finite type. Zbl 0951.14034Magyar, Peter; Weyman, Jerzy; Zelevinsky, Andrei 35 1999 Littlewood-Richardson semigroups. Zbl 0935.05094Zelevinsky, Andrei 17 1999 Quasicommuting families of quantum Plücker coordinates. Zbl 0894.14021Leclerc, Bernard; Zelevinsky, Andrei 45 1998 Multisegment duality, canonical bases and total positivity. Zbl 0918.05104Zelevinsky, Andrei 2 1998 Polyhedral realizations of crystal bases for quantized Kac-Moody algebras. Zbl 0897.17014Nakashima, Toshiki; Zelevinsky, Andrei 58 1997 Total positivity in Schubert varieties. Zbl 0891.20030Berenstein, Arkady; Zelevinsky, Andrei 51 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 89 1996 Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics. Zbl 0898.17006Berenstein, Arkady; Zelevinsky, Andrei 24 1996 Singularities of hyperdeterminants. Zbl 0853.14001Weyman, Jerzy; Zelevinsky, Andrei 13 1996 Representations of quivers of type \(A\) and the multisegment duality. Zbl 0915.16009Knight, Harold; Zelevinsky, Andrei 12 1996 Discriminants, resultants, and multidimensional determinants. Zbl 0827.14036Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 682 1994 Multigraded resultants of Sylvester type. Zbl 0813.13018Sturmfels, Bernd; Zelevinsky, Andrei V. 15 1994 Determinantal formulas for multigraded resultants. Zbl 0816.13007Weyman, Jerzy; Zelevinsky, Andrei 10 1994 Multiplicative properties of projectively dual varieties. Zbl 0839.14039Weyman, Jerzy; Zelevinsky, Andrei 9 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 40 1993 Maximal minors and their leading terms. Zbl 0776.13009Sturmfels, Bernd; Zelevinsky, Andrei V. 29 1993 Combinatorics of maximal minors. Zbl 0794.13021Bernstein, David; Zelevinsky, Andrei 16 1993 A correction to the paper “Hypergeometric functions and toric varieties”. Zbl 0994.33501Gel’fand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 12 1993 Chow polytopes and general resultants. Zbl 0780.14027Kapranov, 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 0799.17005Berenstein, A. D.; Zelevinsky, A. V. 42 1992 Hyperdeterminants. Zbl 0774.15002Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A. V. 24 1992 Quotients of toric varieties. Zbl 0762.14023Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. 27 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. 82 1990 Discriminants of polynomials in several variables and triangulations of Newton polyhedra. Zbl 0741.14033Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 18 1990 Newton polytopes of the classical resultant and discriminant. Zbl 0721.33002Gelfand, I. M.; Kapranov, M. M.; Zelevinskij, A. V. 17 1990 Discriminants of polynomials in several variables. Zbl 0719.15003Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 11 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. 4 1990 Hypergeometric functions and toric varieties. Zbl 0721.33006Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 77 1989 Newton polyhedra of principal \(A\)-determinants. Zbl 0742.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 7 1989 Projectively dual varieties and hyperdeterminants. Zbl 0715.14042Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 4 1989 Tensor product multiplicities and convex polytopes in partition space. Zbl 0712.17006Berenshtein, A. D.; Zelevinskii, A. V. 30 1988 Equations of hypergeometric type and Newton polyhedra. Zbl 0667.33010Gel’fand, I. M.; Zelevinskij, A. V.; Kapranov, M. M. 11 1988 An arrangement of real hyperplanes and the partition function connected with it. Zbl 0662.51010Alekseevskaya, 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 Holonomic systems of equations and series of hypergeometric type. Zbl 0661.22005Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V. 16 1987 Resolutions, dual pairs, and character formulas. Zbl 0636.17003Zelevinskij, A. V. 12 1987 General hypergeometric functions on complex Grassmannians. Zbl 0625.33006Vasil’ev, V. A.; Gel’fand, I. M.; Zelevinskij, A. V. 10 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. 8 1986 Canonical basis in irreducible representations of \({\mathfrak gl}_ 3\) and its applications. Zbl 0668.17006Gel’fand, I.; Zelevinskij, A. 3 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. 14 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 Representation models for classical groups and their higher symmetries. Zbl 0594.22007Gelfand, I. M.; Zelevinsky, 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. 10 1984 Characters of \(GL(n,{\mathbb{F}}_ q)\) and Hopf algebras. Zbl 0551.20022Springer, T. A.; Zelevinsky, A. V. 10 1984 Small resolutions of singularities of Schubert varieties. Zbl 0559.14006Zelevinskij, A. V. 13 1983 Representations of finite classical groups. A Hopf algebra approach. Zbl 0465.20009Zelevinsky, Andrey V. 159 1981 A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence. Zbl 0464.20010Zelevinsky, A. V. 40 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. 10 1981 Induced representations of reductive \(p\)-adic groups. II: On irreducible representations of \(GL(n)\). Zbl 0441.22014Zelevinsky, A. V. 286 1980 Induced representations of reductive \(p\)-adic groups. I. Zbl 0412.22015Bernstein, I. N.; Zelevinsky, A. V. 288 1977 Classification of irreducible noncuspidal representations of \(GL_n\) over the \(p\)-adic field. Zbl 0371.22015Zelevinskii, A. V. 4 1977 ...and 5 more Documents all cited Publications top 5 cited Publications 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. 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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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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