Functoriality for General Spin Groups

TL;DR

This paper proves the transfer of automorphic representations from general spin groups to general linear groups over any number field, fully characterizing the transfer and providing various applications.

Contribution

It establishes the functorial transfer for generic automorphic representations from general spin groups to GL(n), completing previous work and determining the transfer's image.

Findings

Transfer is established for all number fields.

The image of the transfer is fully characterized.

Several applications are derived from the transfer.

Abstract

We establish the functorial transfer of generic, automorphic representations from the quasi-split general spin groups to general linear groups over arbitrary number fields, completing an earlier project. Our results are definitive and, in particular, we determine the image of this transfer completely and give a number of applications.