The twisted weighted fundamental lemma for the transfer of automorphic forms from GSp(4) to GL(4)

Abstract: We prove the twisted weighted fundamental lemma for the group GL(4) x GL(1) relative to a certain outer automorphism a, 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) x GL(1),a). 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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