Generalized Tambara-Yamagami categories
Quantum Algebra
2010-03-17 v2 Category Theory
Representation Theory
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.
Cite
@article{arxiv.1002.3166,
title = {Generalized Tambara-Yamagami categories},
author = {Jesse Liptrap},
journal= {arXiv preprint arXiv:1002.3166},
year = {2010}
}
Comments
14 pages, no figures; references added, minor cosmetic changes on pp. 8 and 13