Pairings between Cartan subgroups and the proof of Theorem 10.4

  • Jeffrey Adams
  • Dan Barbasch
  • David A. VoganJr.
Chapter
Part of the Progress in Mathematics book series (PM, volume 104)

Abstract

Theorem 12.3 describes representations in terms of Cartan subgroups of G Γ, and Theorem 12.9 describes Langlands parameters in terms of Cartan subgroups of G Γ. To complete the proof of Theorem 10.4, we need to relate Cartan subgroups of G Γ and G Γ. We begin by doing this for maximal tori. The following lemma more or less restates the definition of dual group; we leave its proof to the reader.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Jeffrey Adams
    • 1
  • Dan Barbasch
    • 2
  • David A. VoganJr.
    • 3
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA
  2. 2.Department of MathematicsCornell UniversityIthacaUSA
  3. 3.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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