Simple transitive 2-representations of Soergel bimodules in type B₂

2015/09/04 by Zimmermann, Jakob
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1509.01441

Abstract

We prove that every simple transitive 2-representation of the fiat 2-category of Soergel bimodules (over the coinvariant algebra) in type B₂ is equivalent to a cell 2-representation. We also describe some general properties of the 2-category of Soergel bimodules for arbitrary finite Dihedral groups.

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