Frobenius-Schur indicators for some fusion categories associated to symmetric and alternating groups

Abstract : We calculate Frobenius-Schur indicator values for some fusion categories obtained from inclusions of finite groups H⊂G, where more concretely G is symmetric or alternating, and H is a symmetric, alternating or cyclic group. Our work is strongly related to earlier results by Kashina-Mason-Montgomery, Jedwab-Montgomery, and Timmer for bismash product Hopf algebras obtained from exact factorizations of groups. We can generalize some of their results, settle some open questions and offer shorter proofs; this already pertains to the Hopf algebra case, while our results also cover fusion categories not associated to Hopf algebras.
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https://hal.archives-ouvertes.fr/hal-01122467
Contributeur : Peter Schauenburg <>
Soumis le : mercredi 4 mars 2015 - 07:02:07
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

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Peter Schauenburg. Frobenius-Schur indicators for some fusion categories associated to symmetric and alternating groups. 2015. 〈hal-01122467〉

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