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arXiv · 2309.12590

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

Fang Shi
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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 Schr\"oer.

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BibTeXRIS

Fang Shi. 2023-09-22. On the upper bound of the multiplicities of Fourier-Jacobi models over finite fields. https://doi.org/10.1016/j.jalgebra.2023.07.027

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