Transfer factors for Jacquet-Mao's metaplectic fundamental lemma
Algebraic Geometry
2020-04-03 v2 Number Theory
Representation Theory
Abstract
In an earlier paper we proved Jacquet-Mao's metaplectic fundamental lemma which is the identity between two orbital integrals (one is defined on the space of symmetric matrices and another one is defined on the -fold cover of the general linear group) corrected by a transfer factor. But we restricted to the case where the relevant representative is a diagonal matrix. Now, we show that we can extend this result for the more general relevant representative. Our proof is based on the concept of Shalika germs for certain Kloosterman integrals.
Keywords
Cite
@article{arxiv.1511.01692,
title = {Transfer factors for Jacquet-Mao's metaplectic fundamental lemma},
author = {Viet Cuong Do},
journal= {arXiv preprint arXiv:1511.01692},
year = {2020}
}
Comments
Rewrite the introduction, correct some mistake in the first version, 27 pages