483 citations · 1.7k across the 181 of their papers we have counts for
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Biperfect Hopf Algebras
Pavel Etingof, Shlomo Gelaki, Robert Guralnick +1
Recall that a finite group is called perfect if it does not have non-trivial 1-dimensional representations (over the field of complex numbers C). By analogy, let us say that a fini…
Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras
Pavel Etingof, Travis Schedler, Olivier Schiffmann
We provide an explicit quantization of dynamical r-matrices for semisimple Lie algebras, classified earlier by the third author, which includes the Belavin-Drinfeld r-matrices. We…
Twisted traces of intertwiners for Kac-Moody algebras and classical dynamical r-matrices corresponding to generalized Belavin-Drinfeld triples
Pavel Etingof, Olivier Schiffmann
In early eighties, Belavin and Drinfeld showed that nonskewsymmetric classical r-matrices for simple Lie algebras are classified by combinatorial objects which are now called Belav…
Lectures on the dynamical Yang-Baxter equations
Pavel Etingof, Olivier Schiffmann
This paper contains a systematic and elementary introduction to a new area of the theory of quantum groups -- the theory of the classical and quantum dynamical Yang-Baxter equation…
The Classification of Triangular Semisimple and Cosemisimple Hopf Algebras Over an Algebraically Closed Field
Pavel Etingof, Shlomo Gelaki
In this paper we classify triangular semisimple and cosemisimple Hopf algebras over any algebraically closed field k. Namely, we construct, for each positive integer N, relatively…
Whittaker functions on quantum groups and q-deformed Toda operators
Pavel Etingof
In this paper we q-deform a construction of Kazhdan and Kostant from 1970's which produces quantum Toda Hamiltonians by considering the action of Casimirs of a simple Lie algebra o…