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arxiv: 1810.11901 · v1 · submitted 2018-10-28 · 🧮 math.RT

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Uniqueness of certain Fourier-Jacobi models over finite fields

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classification 🧮 math.RT
keywords certainfieldsfinitefourier-jacobimodelsuniquenesscharacteristicexceptional
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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 $U_4$.

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