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.
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页码：327 / 339
页数：13
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