Real Reductive Lie Groups

These are the notes for some lectures I gave at the Mehta Research Institute in 1997-98. The exact form they eventually took is quite different from the plan given in Lecture I. For instance, Lec II is about SL(2,R) and not GL(2,R). One should also note that the notes contain much more material than was actually delivered during the lectures - the purpose of the notes being to free the lecturer from the constraints of rigour and completeness during the talk itself.

Before looking at these notes, it might be helpful to read this expository article by David Collingwood.

DVI versions of these notes can be downloaded from a mirror at MRI.

  • Lecture I
    		• - Introduction and (g,K)-modules PS(96K)
  • Lecture II
    		• - Representations of SL(2,R) PS(123K)
  • Lecture III
    		• - Some structure of semisimple Lie algebras PS(101K)
  • Lecture IV
    		• - Harish-Chandra isomorphism PS(95K)
  • Lecture V
    		• - Representations of SL(2,C) PS(92K)
  • Lecture VI
    		• - Parabolic subgroups PS(112K)
  • Lecture VII
    		• - Parabolic induction PS(102K)
  • Lecture VIII
    		• - Overview PS(103K)
  • Lecture IX
    		• - Cohomological parabolic induction PS(105K)
  • Lecture X

    		•  - Algebraic approach to discrete series
    - (unitarity of Verma modules)    		 PS(112K)



    This page was last modified on March 4, 1998.
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