On the vanishing of some non-semisimple orbital integrals

Gaëtan Chenevier; David Renard

doi:10.1016/j.exmath.2009.12.003

On the vanishing of some non-semisimple orbital integrals

Gaëtan Chenevier
, David Renard

Centre de Mathématiques Laurent Schwartz Ecole Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove the vanishing of the (possibly twisted) orbital integrals of certain functions on real Lie groups at non-semisimple elliptic elements. This applies to Euler-Poincaré functions and makes some results of [7] (Chenevier and Clozel, 2009) unconditional.

langue originale	Anglais
Pages (de - à)	276-289
Nombre de pages	14
journal	Expositiones Mathematicae
Volume	28
Numéro de publication	3
Les DOIs	https://doi.org/10.1016/j.exmath.2009.12.003
état	Publié - 1 févr. 2010

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10.1016/j.exmath.2009.12.003

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abstract = "We prove the vanishing of the (possibly twisted) orbital integrals of certain functions on real Lie groups at non-semisimple elliptic elements. This applies to Euler-Poincar{\'e} functions and makes some results of [7] (Chenevier and Clozel, 2009) unconditional.",

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AU - Renard, David

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AB - We prove the vanishing of the (possibly twisted) orbital integrals of certain functions on real Lie groups at non-semisimple elliptic elements. This applies to Euler-Poincaré functions and makes some results of [7] (Chenevier and Clozel, 2009) unconditional.

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M3 - Article

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JO - Expositiones Mathematicae

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ER -

On the vanishing of some non-semisimple orbital integrals

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