Generalized Tambara-Yamagami categories

Details Generalized Tambara-Yamagami categories Generalized Tambara-Yamagami categories

2010-02-16

arxiv.org/abs/1002.3166v2

Mathematics

Quantum Algebra

14 pages, no figures; references added, minor cosmetic changes on pp. 8 and 13

Scientific paper

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.

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