Generalized Tambara-Yamagami categories

Published 16 Feb 2010 in math.QA, math.CT, and math.RT | (1002.3166v2)

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.

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Jesse Liptrap

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