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arXiv · 2504.07639

Int\'egrale orbitale pond\'er\'ee via l'induite de Lusztig-Spaltenstein g\'en\'eralis\'ee

Yan-Der Lu
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Abstract

In this article, we present two novel approaches to constructing weighted orbital integrals of an inner form of a general linear group. Our method utilizes generalized Lustig-Spaltenstein induction. Furthermore, we will prove that a weighted orbital integral on the Lie algebra constitutes a tempered distribution. We also demonstrate that our new definitions and Arthur's original definition are consistent.

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BibTeXRIS

Yan-Der Lu. 2025-04-10. Int\'egrale orbitale pond\'er\'ee via l'induite de Lusztig-Spaltenstein g\'en\'eralis\'ee. https://arxiv.org/abs/2504.07639

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