Descent Construction for Gspin Groups: Main Results and Applications

Details Descent Construction for Gspin Groups: Main Results and Applications Descent Construction for Gspin Groups: Main Results and Applications

2008-08-16

arxiv.org/abs/0808.2269v2

Mathematics

Number Theory

The statement of the main results has been corrected to include the assumption that the cuspidal representations in the isobar

Scientific paper

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.

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