Article
Fusion rules for abelian extensions of Hopf algebras
Algebra & Number Theory
(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.
Keywords
- fusion rules,
- Hopf algebras,
- quasi-Hopf,
- abelian extensions,
- group-theoretical fusion categories
Disciplines
Publication Date
June 24, 2012
DOI
10.2140/ant.2012.6.327
Citation Information
Christopher Goff. "Fusion rules for abelian extensions of Hopf algebras" Algebra & Number Theory Vol. 6 Iss. 2 (2012) p. 327 - 339 ISSN: 1937-0652 Available at: http://works.bepress.com/chris-goff/1/