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arXiv · 1309.0865

Soergel Calculus

Ben Elias·Geordie Williamson
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Abstract

The monoidal category of Soergel bimodules is an incarnation of the Hecke category, a fundamental object in representation theory. We present this category by generators and relations, using the language of planar diagrammatics. We show that Libedinsky's light leaves give a basis for morphism spaces and give a new proof of Soergel's classification of the indecomposable Soergel bimodules.

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Ben Elias, Geordie Williamson. 2013-09-03. Soergel Calculus. https://arxiv.org/abs/1309.0865

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