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<p>Let <i>F</i> be a non-archimedean local field of characteristic zero. We calculate the Fourier-Jacobi modules of the irreducible, admissible, non-generic, supercuspidal representations of <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="229_2025_1621_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="73" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{GSp}(4,F)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>GSp</mtext> <mo stretchy="false">(</mo> <mn>4</mn> <mo>,</mo> <mi>F</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> of depth zero.</p>

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Fourier-Jacobi modules of depth zero supercuspidals of \(\textrm{GSp}(4)\)

  • 期刊论文

  • 发表日期：

    2025年3月5日

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  • Jonathan Cohen,
  • Ralf Schmidt

摘要

Let F be a non-archimedean local field of characteristic zero. We calculate the Fourier-Jacobi modules of the irreducible, admissible, non-generic, supercuspidal representations of \(\textrm{GSp}(4,F)\) GSp ( 4 , F ) of depth zero.