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Cédric Bonnafé

Actions of relative Weyl groups II

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 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.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 8, 05/2005
Pages: 351 - 387

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