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Automorphisms of Coxeter Groups and Lusztig’s Conjectures for Hecke Algebras with Unequal Parameters

Published online by Cambridge University Press:  11 January 2016

Cédric Bonnafé
Cédric Bonnafé*
Affiliation:
Labo. de Math. de Besançon (CNRS: UMR 6623)Université de Franche-Comté, 16 Route de Gray 25030 Besançon Cedex, Francecedric.bonnafe@univ-fcomte.fr
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Abstract

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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 ϕG denote the weight function on WG obtained by restriction from ϕ. The aim of this paper is to compare the a-function, the set of Duflo involutions and the Kazhdan-Lusztig cells associated with (W, ϕ) and to (WG,ϕG), provided that Lusztig’s Conjectures hold.

Keywords

20C0820C15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 195 , 2009 , pp. 153 - 164
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

References

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