Fourier-Jacobi models for real symplectic-metaplectic groups: the basic case
Number Theory
2026-01-15 v1 Representation Theory
Abstract
In this paper, we generalize the method of Gan-Ichino and Atobe in [GI16][A18] to the field of real numbers and prove the basic tempered case of the local Gan-Gross-Prasad conjecture for Fourier-Jacobi models of symplectic-metaplectic groups, based on the tempered case of the conjecture for Bessel models proved in [CL22] by Chen-Luo.
Cite
@article{arxiv.2601.09062,
title = {Fourier-Jacobi models for real symplectic-metaplectic groups: the basic case},
author = {Cheng Chen and Rui Chen and Jialiang Zou},
journal= {arXiv preprint arXiv:2601.09062},
year = {2026}
}
Comments
32 pages. All comments are welcome