Modular categories are not determined by their modular data

Published 9 Aug 2017 in math.QA, math.CT, math.RA, and math.RT | (1708.02796v2)

Abstract: Arbitrarily many pairwise inequivalent modular categories can share the same modular data. We exhibit a family of examples that are module categories over twisted Drinfeld doubles of finite groups, and thus in particular integral modular categories.

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