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Article Dans Une Revue Duke Mathematical Journal Année : 2021

A new proof of Jacquet-Rallis's fundamental lemma

Résumé

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.

Dates et versions

hal-02150701 , version 1 (07-06-2019)

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Raphaël Beuzart-Plessis. A new proof of Jacquet-Rallis's fundamental lemma. Duke Mathematical Journal, 2021, 170 (12), ⟨10.1215/00127094-2020-0090⟩. ⟨hal-02150701⟩
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