Simple transitive 2-representations of Soergel bimodules for finite Coxeter types

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Mackaay, Marco, Mazorchuk, Volodymyr, Miemietz, Vanessa, Tubbenhauer, Daniel and Zhang, Xiaoting (2023) Simple transitive 2-representations of Soergel bimodules for finite Coxeter types. Proceedings of the London Mathematical Society, 126 (5). pp. 1585-1655. ISSN 0024-6115

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Abstract

In this paper, we show that Soergel bimodules for finite Coxeter types have only finitely many equivalence classes of simple transitive 2-representations and we complete their classification in all types but H3 and H4.

Item Type:	Article
Additional Information:	Research Funding: Fundação para a Ciência e a Tecnologia. Grant Numbers: UID/MAT/04459/2013, PTDC/MAT-PUR/31089/2017; Swedish Research Council; Göran Gustafsson Stiftelse; EPSRC. Grant Number: EP/S017216/1; National Natural Science Foundation of China. Grant Number: 12101422
Uncontrolled Keywords:	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 (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	20 Jan 2023 14:30
Last Modified:	22 May 2025 00:09
URI:	https://ueaeprints.uea.ac.uk/id/eprint/90674
DOI:	10.1112/plms.12515

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