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

Citation

Whitehouse, David (2005) The Twisted Weighted Fundamental Lemma for the Transfer of Automorphic Forms from GSp(4) to GL(4). Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/26W7-8M37. https://resolver.caltech.edu/CaltechETD:etd-05242005-104909

Abstract

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).

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