Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations

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

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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 (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	https://arxiv.org/abs/1802.02078
Depositing User:	LivePure Connector
Date Deposited:	07 Nov 2018 12:30
Last Modified:	17 Oct 2025 23:44
URI:	https://ueaeprints.uea.ac.uk/id/eprint/68800
DOI:	10.1017/S1474748018000555

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