Existence of Whittaker models related to four dimensional symplectic Galois representations

Details Existence of Whittaker models related to four dimensional symplectic Galois representations Existence of Whittaker models related to four dimensional symplectic Galois representations

2007-03-08

arxiv.org/abs/math/0703218v1

Mathematics

Number Theory

Scientific paper

We show that an irreducible cuspidal automorphic representation of the group
GSp(4,A), which is not CAP and whose infinite component belongs to the discrete
series, is weakly equivalent to an irreducible generic automorphic cuspidal
representation, whose infinite component belongs to the same archimedean local
L-packet.

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