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

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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Article dans une revue
Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2016, 280 (1), pp.177 - 201. 〈http://msp.org/pjm/2016/280-1/p09.xhtml〉. 〈10.2140/pjm.2016.280.177〉
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https://hal.archives-ouvertes.fr/hal-01414829
Contributeur : Imb - Université de Bourgogne <>
Soumis le : lundi 12 décembre 2016 - 15:56:33
Dernière modification le : mardi 13 décembre 2016 - 09:30:19

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Peter Schauenburg. Computing higher Frobenius–Schur indicators in fusion categories constructed from inclusions of finite groups. Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2016, 280 (1), pp.177 - 201. 〈http://msp.org/pjm/2016/280-1/p09.xhtml〉. 〈10.2140/pjm.2016.280.177〉. 〈hal-01414829〉

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