Abstract
The main purpose of this paper is to establish the existence of the stable base change transfer of globally generic cuspidal representations of the quasisplit unitary group to the appropriate general linear group. It is based on the Langlands-Shahidi method and the converse theorem of Cogdell and Piatetski-Shapiro. The main result says that the base change is the isobaric sum of (unitary) cuspidal representations of smaller general linear groups such that their Asai L -functions have a pole at s =1. We also construct the local components of the transfer explicitly, using the classification of discrete series due to Mœglin and Tadić and generic nontempered representations due to Muić. The paper concludes with applications toward the generalized Ramanujan conjecture and the holomorphy of the normalized local intertwining operators.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
