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

Published 22 Sep 2023 in math.RT and math.NT | (2309.12590v1)

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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Authors (1)

Fang Shi

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