On parabolic induction on inner forms of the general linear group over a non-archimedean local field

• Erez Lapid ^[1] ; Alberto Mínguez ^[2]
  1. [1] Weizmann Institute of Science

     Weizmann Institute of Science

     Israel

     
  2. [2] Université Paris
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 4 (Special Issue: The Mathematics of Joseph Bernstein), 2016, págs. 2347-2400
• Idioma: inglés
• DOI: 10.1007/s00029-016-0281-7
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• Resumen

  • We give new criteria for the irreducibility of parabolic induction on the general linear group and its inner forms over a local non-archimedean field. In particular, we give a necessary and sufficient condition when the inducing data is of the form π⊗σπ⊗σ where ππ is a ladder representation and σσ is an arbitrary irreducible representation. As an application we simplify the proof of the classification of the unitary dual.