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A new proof of the Jacquet–Rallis fundamental lemma

Raphaël Beuzart-Plessis

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Source: Crossref

Published: Sep 1, 2021

DOI: 10.1215/00127094-2020-0090

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Source abstract

We give a new proof of the so-called Lie algebra version of the Jacquet–Rallis fundamental lemma for local non-Archimedean fields of characteristic 0. This proof is local and based on a previous result of Zhang on the compatibility of smooth transfer with a (partial) Fourier transform.

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A new proof of the Jacquet–Rallis fundamental lemma — Mathematical Frontier Network