Publications (29)
Dunkl Operators and Canonical Invariants of Reflection Groups
Arkady Berenstein, Yurii Burman
Affine buildings for dihedral groups
Arkady Berenstein, Michael Kapovich
Braided doubles
Yuri Bazlov, Arkady Berenstein
Macdonald Polynomials and BGG reciprocity for current algebras
Matthew Bennett, Arkady Berenstein, Vyjayanthi Chari +2
Generalized adjoint actions
Arkady Berenstein, Vladimir Retakh
Mystic Reflection Groups
Yuri Bazlov, Arkady Berenstein
Quantum cluster algebras
Arkady Berenstein, Andrei Zelevinsky
Noncommutative Double Bruhat cells and their factorizations
Arkady Berenstein, Vladimir Retakh
The Reciprocal of $\sum_{n\geq 0}a^nb^n$ for non-commuting $a$ and $b$, Catalan numbers and non-commutative quadratic equations
Arkady Berenstein, Vladimir Retakh, Christophe Reutenauer +1
Geometric and unipotent crystals II: From unipotent bicrystals to crystal bases
Arkady Berenstein, David Kazhdan
Stability inequalities and universal Schubert calculus of rank 2
Arkady Berenstein, Michael Kapovich
Group-like elements in quantum groups, and Feigin's conjecture
Arkady Berenstein
Primitively generated Hall algebras
Arkady Berenstein, Jacob Greenstein
Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
Arkady Berenstein, Reyer Sjamaar
Littlewood-Richardson coefficients for reflection groups
Arkady Berenstein, Edward Richmond
Triangular bases in quantum cluster algebras
Arkady Berenstein, Andrei Zelevinsky
Geometric and unipotent crystals
Arkady Berenstein, David Kazhdan
Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras
Arkady Berenstein, Yurii Burman
Braided Symmetric and Exterior Algebras
Arkady Berenstein, Sebastian Zwicknagl
Lecture notes on Geometric Crystals and their combinatorial analogues
Arkady Berenstein, David Kazhdan
Quantum folding
Arkady Berenstein, Jacob Greenstein
Cluster algebras III: Upper bounds and double Bruhat cells
Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky
Tensor product multiplicities, canonical bases and totally positive varieties
Arkady Berenstein, Andrei Zelevinsky
Lie algebras and Lie groups over noncommutative rings
Arkady Berenstein, Vladimir Retakh
Quantum Chevalley groups
Arkady Berenstein, Jacob Greenstein
Noncommutative Dunkl operators and braided Cherednik algebras
Yuri Bazlov, Arkady Berenstein
Cocycle Twists and Extensions of Braided Doubles
Yuri Bazlov, Arkady Berenstein
A short proof of Kontsevich cluster conjecture
Arkady Berenstein, Vladimir Retakh
Domino tableaux, Schutzenberger involution, and the symmetric group action
Arkady Berenstein, Anatol N. Kirillov