19 citations · 71 across the 24 of their papers we have counts for
5 papers · 1 filter
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…
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…