On the upper bound of the multiplicities of Fourier-Jacobi models over finite fields

Fang Shi

doi:10.1016/j.jalgebra.2023.07.027

paper

On the upper bound of the multiplicities of Fourier-Jacobi models over finite fields

arXiv:2309.12590 · doi:10.1016/j.jalgebra.2023.07.027

Abstract

In general the multiplicity one theorem fails for Fourier-Jacobi models over finite fields. In this paper we prove that there is an upper bound for the multiplicities of Fourier-Jacobi models which is independent of $q$ . As a consequence, we prove a conjecture of Hiss and Schröer.

accepted by Journal of Algebra