On unitary unipotent representations of $p$-adic groups and affine Hecke algebras with unequal parameters

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dc.creatorCiubotaru, Dan
dc.date2008-10-29
dc.date.accessioned2026-07-07T10:14:06Z
dc.date.available2026-07-07T10:14:06Z
dc.descriptionWe determine the unitary dual of the geometric graded Hecke algebras with {unequal} parameters which appear in Lusztig's classification of unipotent representations for {exceptional} $p$-adic groups. The largest such algebra is of type $F_4.$ Via the Barbasch-Moy correspondence of unitarity applied to this setting, this is equivalent to the identification of the corresponding unitary unipotent representations with real central character of the $p$-adic groups. In order for this correspondence to be applicable here, we show (following Lusztig's geometric classification, and Barbasch and Moy's original argument) that the set of tempered modules with real central character for a geometric graded Hecke algebra is linearly independent when restricted to the Weyl group.
dc.description46 pp
dc.identifierhttps://arxiv.org/abs/0810.5366
dc.identifierhttp://arxiv.org/abs/0810.5366
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172762
dc.subjectRepresentation Theory
dc.subject22E50
dc.titleOn unitary unipotent representations of $p$-adic groups and affine Hecke algebras with unequal parameters
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