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Title: Kazhdan-Lusztig cells in affine Weyl groups with unequal parameters
Author: Guilhot, Jérémie
ISNI:       0000 0001 3521 9406
Awarding Body: University of Aberdeen
Current Institution: University of Aberdeen
Date of Award: 2008
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Hecke algebras arise naturally in the representation theory of reductive groups over finite or p-adic fields.  These algebras are specializations of Iwahori-Hecke algebras which can be defined in terms of a Coxeter group and a weight function without reference to reductive groups and this is the setting we are working in.  Kazhdan-Lusztig cells play a crucial role in the study of Iwahori-Hecke algebras.  The aim of this work is to study the Kazhdan-Lusztig cells in affine Weyl groups with unequal parameters.  More precisely, we show that the Kazhdan-Lusztig polynomials of an affine Weyl group are invariant under “long enough” translations, we decompose the lowest two-sided cell into left cells and we determine the decomposition of the affine Weyl group of type Ğ2 into cells for a whole class of weight functions.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available