A new proof of Jacquet-Rallis's fundamental lemma
Number Theory
2020-12-22 v3 Representation Theory
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.
Keywords
Cite
@article{arxiv.1901.02653,
title = {A new proof of Jacquet-Rallis's fundamental lemma},
author = {Raphaël Beuzart-Plessis},
journal= {arXiv preprint arXiv:1901.02653},
year = {2020}
}
Comments
Streamlined proof avoiding to use the existence of smooth transfer and local relative trace formulas