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# Erratum to: A Higher Frobenius–Schur Indicator Formula for Group-Theoretical Fusion Categories

Abstract : Group-theoretical fusion categories are defined by data concerning finite groups and their cohomology: A finite group $G$ endowed with a three-cocycle $ω$, and a subgroup $H ⊂ G$ endowed with a two-cochain whose coboundary is the restriction of ω. The objects of the category are G-graded vector spaces with suitably twisted H-actions; the associativity of tensor products is controlled by $ω$. Simple objects are parametrized in terms of projective representations of finite groups, namely of the stabilizers in $H$ of right $H$-cosets in $G$, with respect to two-cocycles defined by the initial data. We derive and study general formulas that express the higher Frobenius-Schur indicators of simple objects in a group-theoretical fusion category in terms of the group-theoretical and cohomological data defining the category and describing its simples.
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01613340
Contributeur : Imb - Université de Bourgogne <>
Soumis le : lundi 9 octobre 2017 - 14:52:42
Dernière modification le : vendredi 23 avril 2021 - 09:28:02

### Citation

Peter Schauenburg. Erratum to: A Higher Frobenius–Schur Indicator Formula for Group-Theoretical Fusion Categories. Communications in Mathematical Physics, Springer Verlag, 2017, 350 (2), pp.893-896. ⟨10.1007/s00220-016-2770-0⟩. ⟨hal-01613340⟩

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