2-representations of small quotients of Soergel bimodules in infinite types

2018/09/28 by Ko, Hankyung, Mazorchuk, Volodymyr
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1809.11113

Abstract

We determine for which Coxeter types the associated small quotient of the 2-category of Soergel bimodules is finitary and, for such a small quotient, classify the simple transitive 2-representations (sometimes under the additional assumption of gradability). We also describe the underlying categories of the simple transitive 2-representations. For the small quotients of general Coxeter types, we give a description for the cell 2-representations.

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