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

Marco Mackaay; Volodymyr Mazorchuk; Vanessa Miemietz; Daniel Tubbenhauer; Xiaoting Zhang

doi:10.1112/plms.12515

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

Marco Mackaay
, Volodymyr Mazorchuk
, Vanessa Miemietz
, Daniel Tubbenhauer
, Xiaoting Zhang

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

30 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1585-1655
Number of pages	71
Journal	Proceedings of the London Mathematical Society
Volume	126
Issue number	5
Early online date	10 Feb 2023
DOIs	https://doi.org/10.1112/plms.12515
Publication status	Published - May 2023

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10.1112/plms.12515

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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.",

author = "Marco Mackaay and Volodymyr Mazorchuk and Vanessa Miemietz and Daniel Tubbenhauer and Xiaoting Zhang",

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AU - Miemietz, Vanessa

AU - Tubbenhauer, Daniel

AU - Zhang, Xiaoting

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

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2-representation theory and categorification

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

Abstract

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2-representation theory and categorification

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