Recognizing Kazhdan-Lusztig cells using representations

Tuesday, 5-March-2024 

Abstract

The aim of this talk is to show on various examples that one can recognize Kazhdan-Lusztig cells using representations of Hecke algebras. This idea is especially interesting in the case of affine Weyl groups where one can use representations that have a very nice combinatorial descriptions in terms of alcove paths.  (This is part of an ongoing project with Nathan Chapelier, Eloise Little and James Parkinson)