Multiplicity One Theorem for the Ginzburg-Rallis Model: the tempered case
Representation Theory
2016-08-15 v1 Number Theory
Abstract
Following the method developed by Waldspurger and Beuzart-Plessis in their proof of the local Gan-Gross-Prasad conjecture, we are able to prove the multiplicity one theorem for the Ginzburg-Rallis model over the Vogan packets in the tempered case. In some cases, we can also relate the multiplicity to the epsilon factor. This is a sequel of our work \cite{Wan15} in which we consider the supercuspidal case.
Keywords
Cite
@article{arxiv.1608.03840,
title = {Multiplicity One Theorem for the Ginzburg-Rallis Model: the tempered case},
author = {Chen Wan},
journal= {arXiv preprint arXiv:1608.03840},
year = {2016}
}
Comments
88 pages. arXiv admin note: text overlap with arXiv:1506.01452 by other authors