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arXiv · 1206.6625

Fusion rules of equivariantizations of fusion categories

Sebastian Burciu·Sonia Natale
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Abstract

We determine the fusion rules of the equivariantization of a fusion category $\mathcal{C}$ under the action of a finite group $G$ in terms of the fusion rules of $\mathcal{C}$ and group-theoretical data associated to the group action. As an application we obtain a formula for the fusion rules in an equivariantization of a pointed fusion category in terms of group-theoretical data. This entails a description of the fusion rules in any braided group-theoretical fusion category.

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Sebastian Burciu, Sonia Natale. 2012-06-28. Fusion rules of equivariantizations of fusion categories. https://doi.org/10.1063/1.4774293

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