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arXiv · 1904.05798

2-categories of symmetric bimodules and their 2-representations

Volodymyr Mazorchuk·Vanessa Miemietz·Xiaoting Zhang
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Abstract

In this article we analyze the structure of $2$-categories of symmetric projective bimodules over a finite dimensional algebra with respect to the action of a finite abelian group. We determine under which condition the resulting $2$-category is fiat (in the sense of \cite{MM1}) and classify simple transitive $2$-representations of this $2$-category (under some mild technical assumption). We also study several classes of examples in detail.

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BibTeXRIS

Volodymyr Mazorchuk, Vanessa Miemietz, Xiaoting Zhang. 2019-04-11. 2-categories of symmetric bimodules and their 2-representations. https://arxiv.org/abs/1904.05798

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