Generalized Tambara-Yamagami categories
Abstract
Fusion rules generalize groups by allowing multivalued multiplication. Groups are fusion rules of simple current index 1. We classify nilpotent (in the sense of Gelaki and Nikshych) fusion rules of simple current index 2, and characterize the associated fusion categories.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2010
- DOI:
- 10.48550/arXiv.1002.3166
- arXiv:
- arXiv:1002.3166
- Bibcode:
- 2010arXiv1002.3166L
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematics - Category Theory;
- Mathematics - Representation Theory;
- 18D10;
- 20N20 (Primary) 16T10 (Secondary)
- E-Print:
- 14 pages, no figures