57 citations · 73 across the 12 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…
On the Classification of Finite-Dimensional Triangular Hopf Algebras
Shlomo Gelaki
A fundamental problem in the theory of Hopf algebras is the classification and explicit construction of finite-dimensional quasitriangular Hopf algebras over C. These Hopf algebras…
Semisimple Triangular Hopf Algebras and Tannakian Categories
Shlomo Gelaki
One of the most fundamental problems in the theory of finite- dimensional Hopf algebras is their classification over an algebraically closed field k of characteristic 0. This probl…
On cotriangular Hopf algebras
Pavel Etingof, Shlomo Gelaki
In 1997 we proved that any triangular semisimple Hopf algebra over an algebraically closed field k of characteristic 0 is obtained from the group algebra k[G] of a finite group G,…