MacKaay, 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
Preview |
PDF (Accepted manuscript)
- Accepted Version
Download (460kB) | Preview |
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 |
Actions (login required)
![]() |
View Item |