Actions of relative Weyl group I

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dc.creatorBonnafe, Cedric
dc.date2001-11-20
dc.date.accessioned2026-07-07T04:44:42Z
dc.date.available2026-07-07T04:44:42Z
dc.descriptionWe construct a new isomorphism between the endomorphism algebra of an induced cuspidal character sheaf and the group algebra of the relative Weyl group involved. We show it differs from Lusztig one by a linear character, and we relate this linear character to some stabilizers. Some consequences on characteristic functions of character sheaves are obtained. In the forthcoming part II, we will apply these methods to obtain a precision on Digne, Lehrer and Michel's theorem on Lusztig restriction of Gel'fand-Graev characters.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0111224
dc.identifierhttp://arxiv.org/abs/math/0111224
dc.identifierprepublications du laboratoire de mathematiques de Besancon 41 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62695
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20G05
dc.titleActions of relative Weyl group I
dc.typetext

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