<p>In this paper we prove that all A-packets for <i>p</i>-adic <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\operatorname {GL}_n\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mo>GL</mo> <mi>n</mi> </msub> </math></EquationSource> </InlineEquation> are ABV-packets, building on earlier work. The proof uses a special case of endoscopic lifting, adapted from the 1992 book by Adams, Barbasch and Vogan, where it was articulated for real groups.</p>

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Proof of Vogan’s conjecture on Arthur packets for \(\mathop {GL}_n\) over p-adic fields

  • Clifton Cunningham,
  • Mishty Ray

摘要

In this paper we prove that all A-packets for p-adic \(\operatorname {GL}_n\) GL n are ABV-packets, building on earlier work. The proof uses a special case of endoscopic lifting, adapted from the 1992 book by Adams, Barbasch and Vogan, where it was articulated for real groups.