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Article Dans Une Revue Letters in Mathematical Physics Année : 2021

Modular categories are not determined by their modular data

Résumé

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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Dates et versions

hal-03283222 , version 1 (09-07-2021)

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Michaël Mignard, Peter Schauenburg. Modular categories are not determined by their modular data. Letters in Mathematical Physics, 2021, 111 (3), ⟨10.1007/s11005-021-01395-0⟩. ⟨hal-03283222⟩
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