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Soergel bimodules for universal Coxeter groups

Authors :
Elias, Ben
Libedinsky, Nicolas
Publication Year :
2014

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.<br />Comment: Many figures, best viewed in color. Added appendix. This version is better than the published version, and has an improved appendix

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1401.2467
Document Type :
Working Paper