Advertisement

Langlands parameters and L-homomorphisms

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

Abstract

The (local) goal of Langlands’ theory of L-groups is the description of representations of real forms of G in terms of an L-group of G. In this chapter we begin our detailed analysis of the parameters that will appear in this description, without as yet explaining how they are related to representation theory. As is explained in [1], E-groups play the same rôle with respect to the description of certain projective representations (corresponding always to linear covering groups) and they can be treated at the same time without difficulty. (Indeed it is apparent from Definitions 4.3 and 4.6 that E-groups are in certain respects less complicated than L-groups.) In any case we will need to have E-groups available when we discuss endoscopy.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations