1. Direct limits of Zuckerman derived functor modules - Journal of Lie Theory, Volume 11, No. 2, (2001).

   Abstract. We construct representations of certain direct limit Lie groups $G=\lim G^n$ via direct limits of Zuckerman derived functor modules of the groups $G^n$. We show such direct limits exist when the degree of cohomology can be held constant, and discuss some examples for the groups $Sp(p,\infty)$ and $SO(2p,\infty)$, relating to the discrete series and ladder representations. We show that our examples belong to the ``admissible'' class of Olshanskii, and also discuss the globalizations of the Harish-Chandra modules obtained by the derived functor construction. The representations constructed here are the first ones in cohomology of non-zero degree for direct limits of non-compact Lie groups.

2. Representations of Real Reductive Lie Groups. To be published in MRI Lecture Note Series. Here are postscript files of the more finished sections of this book (as of Nov 7, 2000):

   Title Page	15 kb
   Table of Contents	48 kb
   Locally Compact Groups	325 kb
   Real Reductive Groups	348 kb
   SL(2,R)	305 kb
   SL(2,C)	229 kb
   Parabolic Induction
   Holomorphic Discrete Series
   Overview	193 kb
   Hecke Algebra of a Lie Group
   Cohomological Induction
   Appendix	208 kb
   Bibliography	104 kb
   Index	39 kb

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