Soergel bimodules for universal Coxeter groups
Representation Theory
2017-01-11 v2 Quantum Algebra
Abstract
We produce an explicit recursive formula which computes the idempotent projecting to any indecomposable Soergel bimodule for a universal Coxeter system. This gives the exact set of primes for which the positive characteristic analogue of Soergel's conjecture holds. Along the way, we introduce the multicolored Temperley-Lieb algebra. An appendix by Ben Webster gives a precise condition on the base ring for a Jones-Wenzl projector to exist.
Cite
@article{arxiv.1401.2467,
title = {Soergel bimodules for universal Coxeter groups},
author = {Ben Elias and Nicolas Libedinsky},
journal= {arXiv preprint arXiv:1401.2467},
year = {2017}
}
Comments
Many figures, best viewed in color. Added appendix. This version is better than the published version, and has an improved appendix