The Langlands-Shahidi Method for the metaplectic group and applications
Number Theory
2010-04-21 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1004.3516,
title = {The Langlands-Shahidi Method for the metaplectic group and applications},
author = {Dani Szpruch},
journal= {arXiv preprint arXiv:1004.3516},
year = {2010}
}