2000 character limit reached
Modular categories are not determined by their modular data (1708.02796v2)
Published 9 Aug 2017 in math.QA, math.CT, math.RA, and math.RT
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.