Frobenius–Schur indicators for a class of fusion categories

Sonia Natale

Vol. 221 (2005), No. 2, 353–377

DOI: 10.2140/pjm.2005.221.353

Abstract

We give an explicit description of group-theoretical quasi-Hopf algebras up to gauge equivalence. We then use it to compute the Frobenius–Schur indicators for group-theoretical fusion categories.

Keywords

semisimple quasi-Hopf algebra, Frobenius–Schur indicators

Mathematical Subject Classification 2000

Primary: 16W30

Milestones

Received: 26 December 2003

Revised: 5 October 2004

Accepted: 6 October 2004

Published: 1 October 2005