Indecomposable Soergel bimodules for universal Coxeter groups

Elias, Ben; Libedinsky, Nicolas

doi:10.1090/tran/6754

Indecomposable Soergel bimodules for universal Coxeter groups
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by Ben Elias and Nicolas Libedinsky; with an appendix by Ben Webster PDF

Trans. Amer. Math. Soc. 369 (2017), 3883-3910 Request permission

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.

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