2-categories of symmetric bimodules and their 2-representations

Mazorchuk, Volodymyr, Miemietz, Vanessa and Zhang, Xiaoting (2020) 2-categories of symmetric bimodules and their 2-representations. Pacific Journal of Mathematics. ISSN 0030-8730 (In Press)

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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 [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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: LivePure Connector
Date Deposited: 15 Feb 2020 06:20
Last Modified: 25 May 2020 00:02
URI: https://ueaeprints.uea.ac.uk/id/eprint/74208
DOI:

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