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Arkady Berenstein
Arkady Berenstein
University of Oregon
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Title
Cited by
Cited by
Year
Cluster algebras III: Upper bounds and double Bruhat cells
A Berenstein, S Fomin, A Zelevinsky
Duke Mathematical Journal 126 (1), 1-52, 2005
7082005
Quantum cluster algebras
A Berenstein, A Zelevinsky
Advances in Mathematics 195 (2), 405-455, 2005
3732005
Tensor product multiplicities, canonical bases and totally positive varieties
A Berenstein, A Zelevinsky
Inventiones mathematicae 143 (1), 77-128, 2001
3572001
Parametrizations of canonical bases and totally positive matrices
A Berenstein, S Fomin, A Zelevinsky
advances in mathematics 122 (1), 49-149, 1996
3551996
Groups generated by involutions, Gelfand–Tsetlin patterns, and combinatorics of Young tableaux
AN Kirillov, AD Berenstein
Алгебра и анализ 7 (1), 92-152, 1995
1711995
Total positivity in Schubert varieties
A Berenstein, A Zelevinsky
Commentarii Mathematici Helvetici 72 (1), 128-166, 1997
1671997
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
1611992
Tensor product multiplicities and convex polytopes in partition space
AD Berenstein, AV Zelevinsky
Journal of Geometry and Physics 5 (3), 453-472, 1988
1471988
Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
A Berenstein, R Sjamaar
Journal of the American Mathematical Society 13 (2), 433-466, 2000
1412000
String bases for quantum groups of type Ar
A Berenstein, A Zelevinsky
Adv. Soviet Math 16 (1), 51-89, 1993
1361993
Geometric and unipotent crystals
A Berenstein, D Kazhdan
Visions in mathematics, 188-236, 2010
1292010
Geometric and unipotent crystals II: from unipotent bicrystals to crystal bases
A Berenstein, D Kazhdan
arXiv preprint math/0601391, 2006
1122006
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
1021996
Braided symmetric and exterior algebras
A Berenstein, S Zwicknagl
Transactions of the American Mathematical Society 360 (7), 3429-3472, 2008
642008
Triangular bases in quantum cluster algebras
A Berenstein, A Zelevinsky
International Mathematics Research Notices 2014 (6), 1651-1688, 2014
282014
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
271988
Braided doubles and rational Cherednik algebras
Y Bazlov, A Berenstein
Advances in Mathematics 220 (5), 1466-1530, 2009
262009
Group-like elements in quantum groups, and Feigin's conjecture
A Berenstein
arXiv preprint q-alg/9605016, 1996
251996
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
242006
Noncommutative marked surfaces
A Berenstein, V Retakh
Advances in Mathematics 328, 1010-1087, 2018
232018
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