Document Type

Article

Publication Title

Algebra & Number Theory

Department

Mathematics

ISSN

1937-0652

Volume

6

Issue

2

DOI

10.2140/ant.2012.6.327

First Page

327

Last Page

339

Publication Date

June 2012

Abstract

We investigate the representation theory and fusion rules of a class of cocentral abelian (quasi-)Hopf extensions of Hopf algebras which includes twisted (generalized) quantum doubles of finite groups, and a certain quasi-Hopf algebra of Schauenburg associated to group-theoretical fusion categories. We then present a nontrivial example with noncommutative fusion rules.

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