On $(χ,b)$-factors of Cuspidal Automorphic Representations of Unitary Groups I

Dihua Jiang, Chenyan Wu

Published 2014-09-02Version 1

We investigate the existence of a simple global Arthur parameter $(\chi,b)$ occurring in the global Arthur parameter $\psi$ associated to an irreducible cuspidal automorphic representation $\sigma$ of a unitary group defined over a number field. This is part of the $(\chi, b)$-theory outlined in [Jia14] and can be regarded as a refinement of the theory of theta correspondences and poles of certain L-functions, which was outlined in [Ral91]. Further studies will be considered in our future work.