Indecomposable Soergel bimodules for universal Coxeter groups. With an appendix by Ben Webster. (English) Zbl 1435.20009
Summary: 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.
MSC:
| 20C08 | Hecke algebras and their representations |
| 17B10 | Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
| 18N10 | 2-categories, bicategories, double categories |
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