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ToolsMacKaay, Marco, Mazorchuk, Volodymyr, Miemietz, Vanessa and Zhang, Xiaoting (2020) Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations. Journal of the Institute of Mathematics of Jussieu, 19 (6). pp. 1793-1829. ISSN 1474-7480
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Abstract
The main result of this paper establishes a bijection between the set of equivalence classes of simple transitive 2-representations with a fixed apex of a fiat 2-category and the set of equivalence classes of faithful simple transitive 2-representations of the fiat 2-subquotient of associated with a diagonal-cell in. As an application, we classify simple transitive 2-representations of various categories of Soergel bimodules, in particular, completing the classification in types and.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 2-category,coalgebra 1-morphism,cotensor product,simple transitive 2-representation |
| Faculty \ School: | Faculty of Science > School of Mathematics |
| UEA Research Groups: | Faculty of Science > Research Groups > Algebra and Combinatorics |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 07 Nov 2018 12:30 |
| Last Modified: | 12 May 2023 17:31 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/68800 |
| DOI: | 10.1017/S1474748018000555 |
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