Orbites unipotentes et poles d'ordre maximal de la fonction $μ$ de Harish-Chandra

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dc.creatorHeiermann, Volker
dc.date2004-04-07
dc.date.accessioned2026-07-07T05:07:17Z
dc.date.available2026-07-07T05:07:17Z
dc.descriptionIn a previous work, we have shown that a representation of a $p$-adic group obtained by (normalized) parabolic induction from an irreducible supercuspidal representation $σ$ of a Levi subgroup $M$ contains a subquotient which is square integrable, if and only if Harish-Chandra's $μ$-function has a pole in $σ$ of order equal to the parabolic rank of $M$. The aim of the present article is to interpret this result in terms of Langlands' functoriality principle.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0404177
dc.identifierhttp://arxiv.org/abs/math/0404177
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70801
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.subject22E50; 11F70; 11F85
dc.titleOrbites unipotentes et poles d'ordre maximal de la fonction $μ$ de Harish-Chandra
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