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arXiv · 1809.11113

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

Hankyung Ko·Volodymyr Mazorchuk
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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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Hankyung Ko, Volodymyr Mazorchuk. 2018-09-28. 2-representations of small quotients of Soergel bimodules in infinite types. https://arxiv.org/abs/1809.11113

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