18 citations · 19 across the 3 of their papers we have counts for
3 papers
math.QA2008★ 18 cited
Weakly group-theoretical and solvable fusion categories
Pavel Etingof, Dmitri Nikshych, Victor Ostrik
We introduce two new classes of fusion categories which are obtained by a certain procedure from finite groups - weakly group-theoretical categories and solvable categories. These…
math.QA2007★ 1 cited
Non group-theoretical semisimple Hopf algebras from group actions on fusion categories
Dmitri Nikshych
Given an action of a finite group G on a fusion category C we give a criterion for the category of G-equivariant objects in C to be group-theoretical, i.e., to be categorically Mor…
math.QA2006
Nilpotent fusion categories
Shlomo Gelaki, Dmitri Nikshych
In this paper we extend categorically the notion of a finite nilpotent group to fusion categories. To this end, we first analyze the trivial component of the universal grading of a…