Descent Construction for Gspin Groups: Main Results and Applications
Number Theory
2008-12-08 v2 Representation Theory
Abstract
The purpose of this note is to announce an extension of the descent method of Ginzburg, Rallis and Soudry to the setting of essentially self dual representations. This extension of the descent construction provides a complement to recent work of Asgari and Shahidi on the generic transfer for general Spin groups as well as to the work of Asgari and Raghuram on cuspidality of the exterior square lift for representations of GL4. Complete proofs of the results announced in the present note will appear in our forthcoming articles.
Cite
@article{arxiv.0808.2269,
title = {Descent Construction for Gspin Groups: Main Results and Applications},
author = {Joseph Hundley and Eitan Sayag},
journal= {arXiv preprint arXiv:0808.2269},
year = {2008}
}
Comments
The statement of the main results has been corrected to include the assumption that the cuspidal representations in the isobaric sums must be distinct