Cluster algebras III: Upper bounds and double Bruhat cells A Berenstein, S Fomin, A Zelevinsky Duke Mathematical Journal 126 (1), 1-52, 2005 | 708 | 2005 |
Quantum cluster algebras A Berenstein, A Zelevinsky Advances in Mathematics 195 (2), 405-455, 2005 | 373 | 2005 |
Tensor product multiplicities, canonical bases and totally positive varieties A Berenstein, A Zelevinsky Inventiones mathematicae 143 (1), 77-128, 2001 | 357 | 2001 |
Parametrizations of canonical bases and totally positive matrices A Berenstein, S Fomin, A Zelevinsky advances in mathematics 122 (1), 49-149, 1996 | 355 | 1996 |
Groups generated by involutions, Gelfand–Tsetlin patterns, and combinatorics of Young tableaux AN Kirillov, AD Berenstein Алгебра и анализ 7 (1), 92-152, 1995 | 171 | 1995 |
Total positivity in Schubert varieties A Berenstein, A Zelevinsky Commentarii Mathematici Helvetici 72 (1), 128-166, 1997 | 167 | 1997 |
Triple multiplicities for sl (r+ 1) and the spectrum of the exterior algebra of the adjoint representation AD Berenstein, AV Zelevinsky Journal of Algebraic Combinatorics 1 (1), 7-22, 1992 | 161 | 1992 |
Tensor product multiplicities and convex polytopes in partition space AD Berenstein, AV Zelevinsky Journal of Geometry and Physics 5 (3), 453-472, 1988 | 147 | 1988 |
Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion A Berenstein, R Sjamaar Journal of the American Mathematical Society 13 (2), 433-466, 2000 | 141 | 2000 |
String bases for quantum groups of type Ar A Berenstein, A Zelevinsky Adv. Soviet Math 16 (1), 51-89, 1993 | 136 | 1993 |
Geometric and unipotent crystals A Berenstein, D Kazhdan Visions in mathematics, 188-236, 2010 | 129 | 2010 |
Geometric and unipotent crystals II: from unipotent bicrystals to crystal bases A Berenstein, D Kazhdan arXiv preprint math/0601391, 2006 | 112 | 2006 |
Canonical bases for the quantum group of type Ar and piecewise-linear combinatorics A Berenstein, A Zelevinsky Duke Mathematical Journal 82 (3), 473-502, 1996 | 102 | 1996 |
Braided symmetric and exterior algebras A Berenstein, S Zwicknagl Transactions of the American Mathematical Society 360 (7), 3429-3472, 2008 | 64 | 2008 |
Triangular bases in quantum cluster algebras A Berenstein, A Zelevinsky International Mathematics Research Notices 2014 (6), 1651-1688, 2014 | 28 | 2014 |
INVOLUTIONS ON THE GELFAND-TSETLIN SCHEMES AND MULTIPLICITIES IN SKEW CLN-MODULES AD Berenstein, AV ZELEVINSKII DOKLADY AKADEMII NAUK SSSR 300 (6), 1291-1294, 1988 | 27 | 1988 |
Braided doubles and rational Cherednik algebras Y Bazlov, A Berenstein Advances in Mathematics 220 (5), 1466-1530, 2009 | 26 | 2009 |
Group-like elements in quantum groups, and Feigin's conjecture A Berenstein arXiv preprint q-alg/9605016, 1996 | 25 | 1996 |
Method and apparatus for informational processing based on creation of term-proximity graphs and their embeddings into informational units L Chernyak, A Berenstein US Patent App. 11/186,249, 2006 | 24 | 2006 |
Noncommutative marked surfaces A Berenstein, V Retakh Advances in Mathematics 328, 1010-1087, 2018 | 23 | 2018 |