Vol. 6, No. 2, 2012

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 7, 1559–1821
Issue 6, 1311–1557
Issue 5, 1001–1309
Issue 4, 751–999
Issue 3, 493–750
Issue 2, 227–492
Issue 1, 1–225

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editors' Addresses
Editors' Interests
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Ethics Statement
Author Index
To Appear
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Fusion rules for abelian extensions of Hopf algebras

Christopher Goff

Vol. 6 (2012), No. 2, 327–339
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
Mathematical Subject Classification 2000
Primary: 16S40, 18D10
Secondary: 16W30
Milestones
Received: 19 August 2010
Revised: 28 February 2011
Accepted: 10 April 2011
Published: 24 June 2012
Authors
Christopher Goff
Mathematics Department
University of the Pacific
3601 Pacific Avenue
Stockton, CA 95211
United States