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arXiv · 1608.04435

On the Equivalence of Module Categories over a Group-Theoretical Fusion Category

Sonia Natale
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Abstract

We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category ${\mathcal C}$ to be equivalent. This concludes the classification of such module categories.

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Sonia Natale. 2016-08-15. On the Equivalence of Module Categories over a Group-Theoretical Fusion Category. https://doi.org/10.3842/sigma.2017.042

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