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arXiv · 1502.02314

Computing Higher Frobenius-Schur Indicators in Fusion Categories Constructed from Inclusions of Finite Groups

Peter Schauenburg
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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.

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BibTeXRIS

Peter Schauenburg. 2015-02-08. Computing Higher Frobenius-Schur Indicators in Fusion Categories Constructed from Inclusions of Finite Groups. https://arxiv.org/abs/1502.02314

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