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manuscripta mathematica

, Volume 102, Issue 2, pp 211–225 | Cite as

Correspondance de Jacquet–Langlands explicite II. Le cas de degréégal à la caractéristique résiduelle

II. Le cas de degréégal à la caractéristique résiduelle
  • Colin J. Bushnell
  • Guy Henniart

Abstract:

Let F be a non-Archimedean locally compact field, and let p be its residual characteristic. Put G=GL p (F) and let G =D ×, where $D$ is a division algebra with centre F and of degree p 2 over F. The Jacquet–Langlands correspondence is a bijection between the discrete series of G and that of G . We describe this explicitly, in terms of Carayol's parametrization of these discrete series.

Mathematics Subject Classification (1991):22E50 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Colin J. Bushnell
    • 1
  • Guy Henniart
    • 2
  1. 1.Department of Mathematics, King's College, Strand, London WC2R 2LS, UK. e-mail: bushnell@mth.kcl.ac.ukUK
  2. 2.UMR 8628 du CNRS, Université de Paris-Sud, 91405 Orsay Cedex, France. e-mail: Guy.Henniart@math.u-psud.frFR

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