Skip Navigation


International Mathematics Research Notices Advance Access originally published online on June 17, 2009
International Mathematics Research Notices (2009) 2009:4183-4219, doi:10.1093/imrn/rnp084 published on October 27, 2009
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
2009/22/4183    most recent
rnp084v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Naidu, D.
Right arrow Articles by Witherspoon, S.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2009. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

Fusion Subcategories of Representation Categories of Twisted Quantum Doubles of Finite Groups

Deepak Naidu1, Dmitri Nikshych2 and Sarah Witherspoon3

1 Department of Mathematics, Texas A&M University, College Station, TX 77843, USA
2 Department of Mathematics and Statistics, University of New Hampshire, Durham, NH 03824, USA
3 Department of Mathematics, Texas A&M University, College Station, TX 77843, USA

Correspondence: Correspondence to be sent to: nikshych{at}math.unh.edu

We describe all fusion subcategories of the representation category Formula of a twisted quantum double Formula , where G is a finite group and Formula is a 3-cocycle on G. In view of the fact that every group-theoretical braided fusion category can be embedded into some Formula , this gives a complete description of all group-theoretical braided fusion categories. We describe the lattice and give formulas for some invariants of the fusion subcategories of Formula . We also give a characterization of group-theoretical braided fusion categories as equivariantizations of pointed categories.

Communicated by Prof. Corrado De Concini


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.