Pyramids and 2-representations

Mazorchuk, Volodymyr, Zhang, Xiaoting and Miemietz, Vanessa (2020) Pyramids and 2-representations. Revista Matematica Iberoamericana, 36 (2). 387–405. ISSN 0213-2230

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Abstract

We describe a diagrammatic procedure which lifts strict monoidal actions from additive categories to categories of complexes avoiding any use of direct sums. As an application, we prove that every simple transitive 2-representation of the 2-category of projective bimodules over a finite dimensional algebra is equivalent to a cell 2-representation.

Item Type:	Article
Uncontrolled Keywords:	2-category,2-representation,finite dimensional algebra,projective bimodule,simple transitive 2-representation,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
Depositing User:	LivePure Connector
Date Deposited:	24 May 2019 08:30
Last Modified:	07 Nov 2024 12:41
URI:	https://ueaeprints.uea.ac.uk/id/eprint/71122
DOI:	10.4171/rmi/1133

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