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The universal covering group of SL(2,ℝ)

  • Gérard Lion
  • Michèle Vergne
Part of the Progress in Mathematics book series (PM, volume 6)

Abstract

In this section, we will describe the universal covering group of SL(2,ℝ) using the Maslov index. This construction is valid in the general case, and we will describe in detail the universal covering of the manifold of Lagrangian planes and the universal covering group of Sp(n,ℝ) in Appendix A.

Keywords

Half Space Universal Covering Principal Determination Fractional Linear Transformation Maslov Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Gérard Lion
    • 1
  • Michèle Vergne
    • 2
  1. 1.X U.E.R. de Sciences EconomiquesUniversité de ParisNanterreFrance
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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