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arXiv · 1401.2467

Soergel bimodules for universal Coxeter groups

Ben Elias·Nicolas Libedinsky
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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.

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Ben Elias, Nicolas Libedinsky. 2014-01-10. Soergel bimodules for universal Coxeter groups. https://arxiv.org/abs/1401.2467

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