2-representations of small quotients of Soergel bimodules in infinite types
Representation Theory
2018-10-09 v2
Abstract
We determine for which Coxeter types the associated small quotient of the -category of Soergel bimodules is finitary and, for such a small quotient, classify the simple transitive -representations (sometimes under the additional assumption of gradability). We also describe the underlying categories of the simple transitive -representations. For the small quotients of general Coxeter types, we give a description for the cell -representations.
Keywords
Cite
@article{arxiv.1809.11113,
title = {2-representations of small quotients of Soergel bimodules in infinite types},
author = {Hankyung Ko and Volodymyr Mazorchuk},
journal= {arXiv preprint arXiv:1809.11113},
year = {2018}
}