Local Theta correspondence of Tempered Representations and Langlands parameters
Number Theory
2017-11-22 v1 Representation Theory
Abstract
In this paper, we give an explicit determination of the theta lifting for symplectic-orthogonal and unitary dual pairs over a nonarchimedean field of characteristic . We determine when theta lifts of tempered representations are nonzero, and determine the theta lifts in terms of the local Langlands correspondence.
Keywords
Cite
@article{arxiv.1602.01299,
title = {Local Theta correspondence of Tempered Representations and Langlands parameters},
author = {Hiraku Atobe and Wee Teck Gan},
journal= {arXiv preprint arXiv:1602.01299},
year = {2017}
}
Comments
45 pages