483 citations · 1.7k across the 181 of their papers we have counts for
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Triangular Hopf algebras with the Chevalley property
Nicolas Andruskiewitsch, Pavel Etingof, Shlomo Gelaki
We say that a Hopf algebra has the Chevalley property if the tensor product of any two simple modules over this Hopf algebra is semisimple. In this paper we classify finite dimensi…
Isocategorical groups
Pavel Etingof, Shlomo Gelaki
It is well known that if two finite groups have the same symmetric tensor categories of representations over C, then they are isomorphic. We study the following question: when do t…
Indecomposable set-theoretical solutions to the Quantum Yang-Baxter Equation on a set with prime number of elements
Pavel Etingof, Robert Guralnick, Alexander Soloviev
In this paper we show that all indecomposable nondegenerate set-theoretical solutions to the Quantum Yang-Baxter equation on a set of prime order are affine, which allows us to giv…
On the moduli space of classical dynamical r-matrices
P. Etingof, O. Schiffmann
We define and study the moduli space of classical dynamical r-matrices associated to a Lie algebra g and a subalgebra l of g. As opposed to the previous papers q-alg/9703040 and q-…
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…
Dynamical quantum groups at roots of 1
Pavel Etingof, Dmitri Nikshych
Given a dynamical twist for a finite dimensional Hopf algebra we construct two weak Hopf algebras, using methods of Xu and Etingof-Varchenko, and show that they are dual to each ot…