English

Simple transitive $2$-representations of Soergel bimodules in type $B_2$

Representation Theory 2016-06-20 v2

Abstract

We prove that every simple transitive 22-representation of the fiat 22-category of Soergel bimodules (over the coinvariant algebra) in type B2B_2 is equivalent to a cell 22-representation. We also describe some general properties of the 22-category of Soergel bimodules for arbitrary finite Dihedral groups.

Keywords

Cite

@article{arxiv.1509.01441,
  title  = {Simple transitive $2$-representations of Soergel bimodules in type $B_2$},
  author = {Jakob Zimmermann},
  journal= {arXiv preprint arXiv:1509.01441},
  year   = {2016}
}
R2 v1 2026-06-22T10:49:15.330Z