Familles de caracteres de groupes de reflexions complexes

Details Familles de caracteres de groupes de reflexions complexes Familles de caracteres de groupes de reflexions complexes

2003-04-09

arxiv.org/abs/math/0304120v2

Mathematics

Representation Theory

In French. Final version, to appear in "Representation Theory"

Scientific paper

Nous etudions certains types de blocs d'algebres de Hecke associees aux groupes de reflexions complexes qui generalisent les familles de caracteres definies par Lusztig pour les groupes de Weyl. Nous determinons ces blocs pour les groupes de reflexions spetsiaux et nous etablissons un theoreme de compatibilite entre familles et d-series de Harish-Chandra. ----- We study certain types of blocks of Hecke Algebras associated to complex reflection groups which generalize the families of characters defined by Lusztig for Weyl groups. We determine these blocks for the special reflection groups and we establish a compatibility theorem between families and d-series of Harish-Chandra.

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