Parameters and Theta lifts
Representation Theory
2025-12-23 v1 Number Theory
Abstract
In this note, we make explicit the correspondence between Harish-Chandra parameters and Langlands-Vogan parameters for symplectic groups and orthogonal groups of equal rank over reals. As an application, we reformulate Moeglin's results and Paul's work on the Howe correspondence for symplectic-orthogonal dual pairs using Langlands-Vogan parameters.
Keywords
Cite
@article{arxiv.2512.19344,
title = {Parameters and Theta lifts},
author = {Zhe Li and Shanwen Wang and Zhiqi Zhu},
journal= {arXiv preprint arXiv:2512.19344},
year = {2025}
}
Comments
36 pages