The Shimura-Waldspurger correspondence for $\mathrm{Mp}_{2n}$
Number Theory
2018-08-06 v3 Representation Theory
Abstract
We generalize the Shimura-Waldspurger correspondence, which describes the generic part of the automorphic discrete spectrum of the metaplectic group , to the metaplectic group of higher rank. To establish this, we transport Arthur's endoscopic classification of representations of the odd special orthogonal group with by using a result of J. S. Li on global theta lifts in the stable range.
Cite
@article{arxiv.1705.10106,
title = {The Shimura-Waldspurger correspondence for $\mathrm{Mp}_{2n}$},
author = {Wee Teck Gan and Atsushi Ichino},
journal= {arXiv preprint arXiv:1705.10106},
year = {2018}
}