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arXiv · 0805.4269

Automorphisms of Coxeter groups and Lusztig's conjectures for Hecke algebras with unequal parameters

Cédric Bonnafé
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Abstract

Let $(W,S)$ be a Coxeter system, let $G$ be a finite solvable group of automorphisms of $(W,S)$ and let $φ$ be a weight function which is invariant under $G$. Let $φ_G$ denote the weight function on $W^G$ obtained by restriction from $φ$. The aim of this paper is to compare the ${\mathbf{a}}$-function, the set of Duflo involutions and the Kazhdan-Lusztig cells associated to $(W,φ)$ and to $(W^G,φ_G)$, provided that Lusztig's Conjectures hold.

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BibTeXRIS

Cédric Bonnafé. 2009-08-31. Automorphisms of Coxeter groups and Lusztig's conjectures for Hecke algebras with unequal parameters. https://arxiv.org/abs/0805.4269

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