Simple transitive 2‐representations of Soergel bimodules for finite Coxeter types-Reference-Cited by-同舟云学术

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

Published:2023-02-10 Issue:5 Volume:126 Page:1585-1655
ISSN:0024-6115
Container-title:Proceedings of the London Mathematical Society
language:en
Short-container-title:Proceedings of London Math Soc

Author:

Mackaay Marco¹²,Mazorchuk Volodymyr³,Miemietz Vanessa⁴,Tubbenhauer Daniel⁵,Zhang Xiaoting⁶

Affiliation:

1. Center for Mathematical Analysis, Geometry and Dynamical Systems Instituto Superior Técnico Lisboa Portugal

2. Departamento de Matemática, FCT Universidade do Algarve Faro Portugal

3. Department of Mathematics Uppsala University Uppsala Sweden

4. School of Mathematics University of East Anglia Norwich UK

5. School of Mathematics and Statistics, The University of Sydney Sydney Australia

6. Beijing Advanced Innovation Center for Imaging Theory and Technology Academy for Multidisciplinary Studies, Capital Normal University Beijing China

Abstract

AbstractIn 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 and .

Funder

Fundação para a Ciência e a Tecnologia

Vetenskapsrådet

Engineering and Physical Sciences Research Council

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/plms.12515

Reference57 articles.