Soergel bimodule

introduction

The monoidal category of Soergel bimodules can be thought of as a categorification of the Hecke algebra of a finite Weyl group.

Mikhail Khovanov, Joshua Sussan, The Soergel category and the redotted Webster algebra, arXiv:1605.02678 [math.QA], May 09 2016, http://arxiv.org/abs/1605.02678
Ben Elias, The two-color Soergel calculus, 10.1112/S0010437X15007587, http://dx.doi.org/10.1112/S0010437X15007587, Compositio Mathematica 152 (2015) 327-398, http://arxiv.org/abs/1308.6611v2
Ben Elias, A Diagrammatic Temperley-Lieb Categorification, 10.1155/2010/530808, http://dx.doi.org/10.1155/2010/530808, Int. J. Math. Math. Sci. (2010) Article 530808, http://arxiv.org/abs/1003.3416v2

Ben Elias, Mikhail Khovanov, Diagrammatics for Soergel categories, 10.1155/2010/978635, http://dx.doi.org/10.1155/2010/978635, Int. J. Math. Math. Sci. (2010) Article 978635, http://arxiv.org/abs/0902.4700v2