RIBBON STRUCTURES OF THE DRINFELD CENTER OF A FINITE TENSOR CATEGORY

Kenichi Shimizu

RIBBON STRUCTURES OF THE DRINFELD CENTER OF A FINITE TENSOR CATEGORY

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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 language	English
Journal	Unknown Journal
Publication status	Published - 2017 Jul 30

ASJC Scopus subject areas

General

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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{\textquoteright}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.",

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