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

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 $H_3$ and $H_4$.

Final version, to appear in the Proceedings of the LMS

References in corpus (4)

• Derived equivalences for symmetric groups and sl\_2-categorification
• Simple transitive 2-representations via (co)algebra 1-morphisms
• Finitary birepresentations of finitary bicategories
• Categorical diagonalization of full twists

Cited by in corpus (4)

• Sandwich cellularity and a version of cell theory
• Some homological properties of category $\mathcal{O}$, VII
• On rank one 2-representations of web categories
• Kazhdan--Lusztig cells of $\mathbf{a}$-value 2 in $\mathbf{a}(2)$-finite Coxeter systems