Translator Disclaimer
2013 The Picard crossed module of a braided tensor category
Alexei Davydov, Dmitri Nikshych
Algebra Number Theory 7(6): 1365-1403 (2013). DOI: 10.2140/ant.2013.7.1365

Abstract

For a finite braided tensor category C we introduce its Picard crossed module P(C) consisting of the group of invertible C-module categories and the group of braided tensor autoequivalences of C. We describe P(C) in terms of braided autoequivalences of the Drinfeld center of C. As an illustration, we compute the Picard crossed module of a braided pointed fusion category.

Citation

Download Citation

Alexei Davydov. Dmitri Nikshych. "The Picard crossed module of a braided tensor category." Algebra Number Theory 7 (6) 1365 - 1403, 2013. https://doi.org/10.2140/ant.2013.7.1365

Information

Received: 6 February 2012; Revised: 8 November 2012; Accepted: 20 November 2012; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1284.18015
MathSciNet: MR3107567
Digital Object Identifier: 10.2140/ant.2013.7.1365

Subjects:
Primary: 18D10
Secondary: 16W30

Rights: Copyright © 2013 Mathematical Sciences Publishers

JOURNAL ARTICLE
39 PAGES


SHARE
Vol.7 • No. 6 • 2013
MSP
Back to Top