#### Vol. 280, No. 1, 2016

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Computing higher Frobenius–Schur indicators in fusion categories constructed from inclusions of finite groups

### Peter Schauenburg

Vol. 280 (2016), No. 1, 177–201
##### Abstract

We consider a subclass of the class of group-theoretical fusion categories: To every finite group $G$ and subgroup $H$ one can associate the category of $G$-graded vector spaces with a two-sided $H$-action compatible with the grading. We derive a formula that computes higher Frobenius-Schur indicators for the objects in such a category using the combinatorics and representation theory of the groups involved in their construction. We calculate some explicit examples for inclusions of symmetric groups.

##### Keywords
fusion category, Frobenius-Schur indicator
##### Mathematical Subject Classification 2010
Primary: 18D10, 16T05
Secondary: 20C15