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Article Dans Une Revue Pacific Journal of Mathematics Année : 2016

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

Résumé

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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Dates et versions

hal-01115331 , version 1 (10-02-2015)

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Peter Schauenburg. Computing higher Frobenius–Schur indicators in fusion categories constructed from inclusions of finite groups. Pacific Journal of Mathematics, 2016, 280 (1), pp.177-201. ⟨10.2140/pjm.2016.280.177⟩. ⟨hal-01115331⟩
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