The explicit theta correspondence for reductive dual pairs $(Sp(p,q),O^{*}(4))$
Representation Theory
2015-12-18 v2
Abstract
For every irreducible Harish-Chandra module of , we determine its theta lift to in terms of the Langlands parameter, for all non-negative integers and . Our strategy is to determine the desired theta lifts by their infinitesimal characters and lowest -types.
Keywords
Cite
@article{arxiv.1509.01970,
title = {The explicit theta correspondence for reductive dual pairs $(Sp(p,q),O^{*}(4))$},
author = {Yixin Bao},
journal= {arXiv preprint arXiv:1509.01970},
year = {2015}
}