Séminaires : Séminaire Claude Chevalley

Equipe(s) :
Responsables :O. Brunat, M. Cabanes, et O. Dudas.
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Salle : 11 rue Pierre et Marie Curie - 75005 Paris
Adresse :
Description

Orateur(s) R. TAYLOR - University of Cambridge - Université Paris VII,
Titre Unipotent Supports and Generalised Gelfand-Graev Representations (GGGRs)
Date25/10/2012
Horaire10:30 à 11:30
Diffusion
RésumeAbstract: Assume $G$ is a connected reductive algebraic group equipped with a Frobenius endomorphism $F$ defined over a field of good characteristic. To each irreducible character of the finite group $G^F$ Lusztig has associated a canonical $F$-stable unipotent conjugacy class of $G$ called the unipotent support of the character. For each unipotent conjugacy class of $G^F$ Kawanaka has defined a character called a GGGR, (which is a Gelfand-Graev character when the class contains regular unipotent elements). In this talk we will discuss results concerning the multiplicities of an irreducible character in the GGGRs defined using elements in its unipotent support.
Salle11 rue Pierre et Marie Curie - 75005 Paris
Adresse
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