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

Research output: Contribution to journal › Article › peer-review

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-Poincaré functions and makes some results of [7] (Chenevier and Clozel, 2009) unconditional.

Original language	English
Pages (from-to)	276-289
Number of pages	14
Journal	Expositiones Mathematicae
Volume	28
Issue number	3
DOIs	https://doi.org/10.1016/j.exmath.2009.12.003
Publication status	Published - 1 Feb 2010

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title = "On the vanishing of some non-semisimple orbital integrals",

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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On the vanishing of some non-semisimple orbital integrals

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