Soergel bimodules for universal Coxeter groups

Ben Elias; Nicolas Libedinsky

arxiv: 1401.2467 · v2 · pith:6A5X3PGTnew · submitted 2014-01-10 · 🧮 math.RT · math.QA

Soergel bimodules for universal Coxeter groups

Ben Elias , Nicolas Libedinsky This is my paper

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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.

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