Soergel Calculus
Quantum Algebra
2016-11-18 v1 Representation Theory
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.
Cite
@article{arxiv.1309.0865,
title = {Soergel Calculus},
author = {Ben Elias and Geordie Williamson},
journal= {arXiv preprint arXiv:1309.0865},
year = {2016}
}
Comments
83 pages, many figures, best viewed in color