English

Diagrammatics for Soergel categories

Representation Theory 2016-03-08 v2 Quantum Algebra

Abstract

The monoidal category of Soergel bimodules can be thought of as a categorification of the Hecke algebra of a finite Weyl group. We present this category, when the Weyl group is the symmetric group, in the language of planar diagrams with local generators and local defining relations.

Keywords

Cite

@article{arxiv.0902.4700,
  title  = {Diagrammatics for Soergel categories},
  author = {Ben Elias and Mikhail Khovanov},
  journal= {arXiv preprint arXiv:0902.4700},
  year   = {2016}
}

Comments

long awaited update to published version

R2 v1 2026-06-21T12:16:10.820Z