A new proof of Jacquet-Rallis's fundamental lemma

2019/01/09 by Raphaël Beuzart-Plessis, Beuzart-Plessis, Raphaël · 2 citations
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Mathematical Analysis and Transform Methods #Number Theory (math.NT) #Representation Theory (math.RT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1901.02653

openalex publication_date 2019/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new proof of the so-called Lie algebra version of Jacquet-Rallis's fundamental lemma for local non-Archimedean fields of characteristic zero. This proof is local and based on a previous result of W. Zhang on the compatibility of smooth transfer with a (partial) Fourier transform.

Cited by

• The endoscopic fundamental lemma for unitary Friedberg-Jacquet periods
• Weil representation and Arithmetic Fundamental Lemma

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