The Twisted Weighted Fundamental Lemma for the Transfer of Automorphic Forms from GSp(4) to GL(4)

automorphic forms;fundamental lemma

Whitehouse, David ; Ramakrishnan, Dinakar

University:California Institute of Technology

Department:Physics, Mathematics and Astronomy

关键词: automorphic forms;    fundamental lemma;   

Others  :  https://thesis.library.caltech.edu/1995/1/Thesis_onesided.pdf

美国|英语

来源: Caltech THESIS

【 摘 要 】

We prove the twisted weighted fundamental lemma for the group GL(4) x GL(1) relative to a certain outer automorphism α, which yields GSp(4) as a twisted endoscopic group. This version of the fundamental lemma is needed to stabilize the twisted trace formula for the pair (GL(4) xGL(1),α). This stabilized twisted trace formula is required for Arthur's classification of the discrete spectrum of $GSp(4)$ in terms of automorphic representations of GL(4).