The fundamental lemma of Jacquet and Rallis

Type: Article

Publication Date: 2011-02-01

Citations: 41

DOI: https://doi.org/10.1215/00127094-2010-210

Abstract

We prove both the group version and the Lie algebra version of the Fundamental Lemma appearing in a relative trace formula of Jacquet-Rallis in the function field case when the characteristic is greater than the rank of the relevant groups.

Locations

  • Duke Mathematical Journal - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat The fundamental lemma of Jacquet-Rallis in positive characteristics 2009 Zhiwei Yun
+ A new proof of the Jacquet–Rallis fundamental lemma 2021 Raphaël Beuzart-Plessis
+ A new proof of Jacquet-Rallis's fundamental lemma 2019 Raphaël Beuzart-Plessis
+ PDF Chat On the smooth transfer for Guo–Jacquet relative trace formulae 2015 Chong Zhang
+ PDF Chat A remark on the fundamental lemma of Jacquet 2006 Omer Offen
+ On the stabilization of a relative trace formula: the fundamental lemma 2020 Spencer Leslie
+ The Trace Formula and the Proof of the Global Jacquet-Langlands Correspondence 2019 Alexandru Ioan Badulescu
+ PDF Chat Contributions to the relative trace formula of Guo-Jacquet 2020 Huajie Li
+ The Trace Formula and the Proof of the Global Jacquet-Langlands Correspondence 2018 Alexandru Ioan Badulescu
+ The Principal Trace Formula and Its Applications 2022 Alan L. Carey
Galina Levitina
+ On the stabilization of relative trace formulae: descent and the fundamental lemma 2020 Spencer Leslie
+ On the stabilization of relative trace formulae: descent and the fundamental lemma 2020 Spencer Leslie
+ PDF Chat Relative Fundamental Lemmas for Spherical Hecke Algebras and Multiplicative Hitchin Fibrations: the Jacquet--Rallis Case 2024 Xiunan Wang
Zhe Zhang
+ PDF Chat On the Nagy-Foias-Parrott commutant lifting theorem 1995 Rodrigo Arocena
+ On Relative Trace Formulae: the Case of Jacquet-Rallis 2019 Pierre-Henri Chaudouard
+ A proof of the general theta transformation formula 2010 Bruce C. Berndt
Chadwick Gugg
Sarachai Kongsiriwong
Johann Thiel
+ PDF Chat On the stabilization of relative trace formulae: Descent and the fundamental lemma 2021 Spencer Leslie
+ The fundamental lemma of a relative trace formula for $GL(3)$ 1993 Yangbo Ye
+ PDF Chat Kloosterman-Fourier inversion for symmetric matrices 2005 Omer Offen
+ Formules des traces relative de Jacquet-Rallis 2015 Michal Zydor