The Prasad conjectures for $\mathrm{GSp_4}$ and $\mathrm{PGSp_4}$
Representation Theory
2020-10-21 v4
Abstract
In this paper, we use the theta correspondence between and to discuss the -distinction problems over a quadratic field extension With a similar strategy, we study the period for the pair where is the unique inner form of Then we verify the Prasad conjecture for .
Cite
@article{arxiv.1802.10336,
title = {The Prasad conjectures for $\mathrm{GSp_4}$ and $\mathrm{PGSp_4}$},
author = {Hengfei Lu},
journal= {arXiv preprint arXiv:1802.10336},
year = {2020}
}
Comments
We extend the results from tempered representations in the previous version (v1) to the generic representations. arXiv admin note: text overlap with arXiv:0706.0952 by other authors