MacKaay, Marco, Mazorchuk, Volodymyr, Miemietz, Vanessa, Tubbenhauer, Daniel and Zhang, Xiaoting (2021) Finitary birepresentations of finitary bicategories. Forum Mathematicum, 33 (5). pp. 1261-1320.
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Abstract
In this paper, we discuss the generalization of finitary 2-representation theory of finitary 2-categories to finitary birepresentation theory of finitary bicategories. In previous papers on the subject, the classification of simple transitive 2-representations of a given 2-category was reduced to that for certain subquotients. These reduction results were all formulated as bijections between equivalence classes of 2-representations. In this paper, we generalize them to biequivalences between certain 2-categories of birepresentations. Furthermore, we prove an analog of the double centralizer theorem in finitary birepresentation theory.
Item Type: | Article |
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Uncontrolled Keywords: | finitary bicategory,bicomodule,coalgebra,double centralizer theorem,simple transitive birepresentation,strong h-reduction,mathematics(all),applied mathematics ,/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 |
Related URLs: | |
Depositing User: | LivePure Connector |
Date Deposited: | 02 Jul 2021 01:09 |
Last Modified: | 26 Aug 2024 00:29 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/80378 |
DOI: | 10.1515/forum-2021-0021 |
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