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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https://hal.archives-ouvertes.fr/hal-01115331
Contributeur : Peter Schauenburg <>
Soumis le : mardi 10 février 2015 - 19:13:24
Dernière modification le : mardi 12 janvier 2016 - 12:58:01
Document(s) archivé(s) le : samedi 12 septembre 2015 - 10:51:18

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1502.02314v1.pdf
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  • HAL Id : hal-01115331, version 1
  • ARXIV : 1502.02314

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Peter Schauenburg. COMPUTING HIGHER FROBENIUS-SCHUR INDICATORS IN FUSION CATEGORIES CONSTRUCTED FROM INCLUSIONS OF FINITE GROUPS. 2015. <hal-01115331>

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