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arXiv · 1708.02796

Modular categories are not determined by their modular data

Michaël Mignard·Peter Schauenburg
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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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Michaël Mignard, Peter Schauenburg. 2017-08-09. Modular categories are not determined by their modular data. https://arxiv.org/abs/1708.02796

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