The Langlands-Shahidi Method for the metaplectic group and applications

Details The Langlands-Shahidi Method for the metaplectic group and applications The Langlands-Shahidi Method for the metaplectic group and applications

2010-04-20

arxiv.org/abs/1004.3516v1

Mathematics

Number Theory

Scientific paper

I am applying the Langlands-Shahidi method to the metaplectic double cover of Sp(2n). I proved that a Whittaker model of an irreducible admissible representation of this group is unique. As a result I was able to define the local coefficients for this group. I used them to determine irreducibility of parabolic induction. I also found some connections with the representation theory of SO(2n+1). I have defined local gamma factors and proved some properties of them.

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