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Article Dans Une Revue Journal of Group Theory Année : 2005

Actions of relative Weyl groups II

Résumé

The aim of this second part is to compute explicitly the Lusztig restriction of the characteristic function of a regular unipotent class of a finite reductive group, improving slightly a theorem of Digne, Lehrer and Michel. We follow their proof but introduce new information, namely the computation of morphisms $\varphi_{L,v}^G$ defined in the first part when $v$ is a regular unipotent element. This new information is obtained by studying generalizations of the variety of companion matrices which were introduced by Steinberg.

Dates et versions

hal-00318686 , version 1 (04-09-2008)

Identifiants

Citer

Cédric Bonnafé. Actions of relative Weyl groups II. Journal of Group Theory, 2005, 8, pp.351-387. ⟨10.1515/jgth.2005.8.3.351⟩. ⟨hal-00318686⟩
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