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, 306 (2). pp. 645-678. ISSN 0030-8730

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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 Mazorchuk and Miemietz (2011)) 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
Uncontrolled Keywords:	2-category,finite abelian group,simple transitive 2-representation,symmetric bimodule,mathematics(all) ,/dk/atira/pure/subjectarea/asjc/2600
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	15 Feb 2020 06:20
Last Modified:	07 Nov 2024 12:42
URI:	https://ueaeprints.uea.ac.uk/id/eprint/74208
DOI:	10.2140/pjm.2020.306.645

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