RIBBON STRUCTURES OF THE DRINFELD CENTER OF A FINITE TENSOR CATEGORY

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Abstract

We classify the ribbon structures of the Drinfeld center Z(C) of a finite tensor category C. Our result generalizes Kauffman and Radford’s classification result of the ribbon elements of the Drinfeld double of a finite-dimensional Hopf algebra. Our result implies that Z(C) is a modular tensor category in the sense of Lyubashenko if C is a spherical finite tensor category in the sense of Douglas, Schommer-Pries and Snyder.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Jul 30

ASJC Scopus subject areas

  • General

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