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

Published online by Cambridge University Press:  20 November 2018

Volker Heiermann
Volker Heiermann*
Affiliation:
Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Allemagne e-mail: heierman@mathematik.hu-berlin.de
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Résumé

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Dans un travail antérieur, nous avions montré que l’induite parabolique (normalisée) d’une représentation irréductible cuspidale $\sigma $ d’un sous-groupe de Levi $M$ d’un groupe $p$-adique contient un sous-quotient de carré intégrable, si et seulement si la fonction $\mu $ de Harish-Chandra a un pôle en $\sigma $ d’ordre égal au rang parabolique de $M$. L’objet de cet article est d’interpréter ce résultat en termes de fonctorialité de Langlands.

Keywords

11F7011F8022E50
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 58 , Issue 6 , 01 December 2006 , pp. 1203 - 1228
Copyright
Copyright © Canadian Mathematical Society 2006

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