483 citations · 1.7k across the 181 of their papers we have counts for
9 papers · 2 filters
Quantization of non-unitary geometric classical r-matrices
P. Etingof, M. Graña
In this paper we explicitly attach to a geometric classical r-matrix (not necessarily unitary), a geometric (i.e., set-theoretical) quantum R-matrix , which is a quantizatio…
On the dynamical Yang-Baxter equation
Pavel Etingof
This talk is inspired by two previous ICM talks, by V.Drinfeld (1986) and G.Felder (1994). Namely, one of the main ideas of Drinfeld's talk is that the quantum Yang-Baxter equation…
On Vafa's theorem for tensor categories
Pavel Etingof
In this note we prove two main results. 1. In a rigid braided finite tensor category over C (not necessarily semisimple), some power of the Casimir element and some even power of t…
Elliptic Central Characters and Blocks of Finite Dimensional Representations of Quantum Affine Algebras
Pavel I. Etingof, Adriano A. Moura
The category of finite dimensional (type 1) representations of a quantum affine algebra is not semisimple. However, as any abelian category with finite-len…
On the quantum Kazhdan-Lusztig functor
Pavel Etingof, Adriano Moura
We study a quantum version of the Kazhdan-Lusztig functor. Namely, we prove that there exists a fully faithfull exact tensor functor from the category of finite dimensional represe…
Lectures on quasi-invariants of Coxeter groups and the Cherednik algebra
Pavel Etingof, Elisabetta Strickland
The paper an elementary introduction for non-specialists to the theory of quasi-invariants of Coxeter groups. The main object of study is the variety X_m of quasi-invariants for a…