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 |
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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 |
Depositing User: | LivePure Connector |
Date Deposited: | 24 May 2019 08:30 |
Last Modified: | 15 Aug 2024 00:29 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/71122 |
DOI: | 10.4171/rmi/1133 |
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