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arXiv · 1405.7896

Module categories over equivariantized tensor categories

Martín Mombelli·Sonia Natale
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Abstract

For a finite tensor category $\mathcal C$ and a Hopf monad $T:\mathcal C\to \mathcal C$ satisfying certain conditions we describe exact indecomposable left $\mathcal C^T$-module categories in terms of left $\mathcal C$-module categories and some extra data. We also give a 2-categorical interpretation of the process of equivariantization of module categories.

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Martín Mombelli, Sonia Natale. 2014-05-30. Module categories over equivariantized tensor categories. https://arxiv.org/abs/1405.7896

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