Fusion rules for abelian extensions of Hopf algebras

被引：2

作者：

Goff, Christopher ^{[1
]}

机构：

[1] Univ Pacific, Dept Math, Stockton, CA 95211 USA

来源：

ALGEBRA & NUMBER THEORY | 2012年 / 6卷 / 02期

关键词：

fusion rules; Hopf algebras; quasi-Hopf; abelian extensions; group-theoretical fusion categories; FINITE-GROUPS; COHOMOLOGY; CATEGORIES;

D O I：

10.2140/ant.2012.6.327

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：327 / 339

页数：13

共 18 条

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