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Uniqueness of certain Fourier-Jacobi models over finite fields

Institution:	1. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA;2. Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4, Canada

Abstract:	In this paper, we prove the uniqueness of certain Fourier-Jacobi models for the split exceptional group $G_{2}$ over finite fields with odd characteristic. Similar results are also proved for ${Sp}_{4}$ and $U_{4}$ .

Keywords:	Multiplicity one Fourier-Jacobi model
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