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 , 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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Algebras and Representation Theory, Springer Verlag, 2016, 19 (3), pp.645 - 656. <http://link.springer.com/article/10.1007%2Fs10468-016-9593-8>. <10.1007/s10468-016-9593-8>
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01414575
Contributeur : Imb - Université de Bourgogne <>
Soumis le : lundi 12 décembre 2016 - 14:19:59
Dernière modification le : mardi 13 décembre 2016 - 09:30:19

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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. <http://link.springer.com/article/10.1007%2Fs10468-016-9593-8>. <10.1007/s10468-016-9593-8>. <hal-01414575>

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