# 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 $H\subset G$, 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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Article dans une revue
Algebras and Representation Theory, Springer Verlag, 2016, 19 (3), pp.645-656. 〈10.1007/s10468-016-9593-8〉
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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 : jeudi 29 mars 2018 - 11:55:51

### Citation

Peter Schauenburg. Frobenius-Schur indicators for some fusion categories associated to symmetric and alternating groups. Algebras and Representation Theory, Springer Verlag, 2016, 19 (3), pp.645-656. 〈10.1007/s10468-016-9593-8〉. 〈hal-01122467〉

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