114 citations · 392 across the 84 of their papers we have counts for
7 papers · 1 filter
Integrable clusters
Arkady Berenstein, Jacob Greenstein, David Kazhdan
The goal of this note is to study quantum clusters in which cluster variables (not coefficients) commute which each other. It turns out that this property is preserved by mutations…
Lecture notes on Geometric Crystals and their combinatorial analogues
Arkady Berenstein, David Kazhdan
This is an exposition of the results on Geometric crystals and the associated Kashiwara crystal bases (presented by the first author in RIMS, August 2004)
Geometric and unipotent crystals II: From unipotent bicrystals to crystal bases
Arkady Berenstein, David Kazhdan
For each reductive algebraic group G we introduce and study unipotent bicrystals which serve as a regular version of birational geometric and unipotent crystals introduced earlier…
Quantization of Lie bialgebras, part VI: quantization of generalized Kac-Moody algebras
Pavel Etingof, David Kazhdan
This paper is a continuation of the series of papers "Quantization of Lie bialgebras (QLB) I-V". We show that the image of a Kac-Moody Lie bialgebra with the standard quasitriangul…
Geometric and unipotent crystals
Arkady Berenstein, David Kazhdan
In this paper we introduce geometric crystals and unipotent crystals which are algebro-geometric analogues of Kashiwara's crystal bases. Given a reductive group G, let I be the set…
Quantization of Lie bialgebras, V
Pavel Etingof, David Kazhdan
This paper is a continuation of "Quantization of Lie bialgebras I-IV". The goal of this paper is to define and study the notion of a quantum vertex operator algebra in the setting…