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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups: Second Edition
About this Title
A. Borel, Institute for Advanced Study, Princeton, NJ and N. Wallach, University of California, San Diego, La Jolla, CA
Publication: Mathematical Surveys and Monographs
Publication Year:
2000; Volume 67
ISBNs: 978-1-4704-1225-8 (print); 978-1-4704-1294-4 (online)
DOI: https://doi.org/10.1090/surv/067
MathSciNet review: MR1721403
MSC: Primary 22E41; Secondary 22-02, 22E40, 22E45, 57T15
ReadershipTable of Contents
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Front/Back Matter
Chapters
- 0. Notation and preliminaries
- I. Relative Lie algebra cohomology
- II. Scalar product, Laplacian and Casimir element
- III. Cohomology with respect to an induced representation
- IV. The Langlands classification and uniformly bounded representations
- V. Cohomology with coefficients in $\Pi _\infty (G)$
- VI. The computation of certain cohomology groups
- VII. Cohomology of discrete subgroups and Lie algebra cohomology
- VIII. The construction of certain unitary representations and the computation of the corresponding cohomology groups
- IX. Continuous cohomology and differentiable cohomology
- X. Continuous and differentiable cohomology for locally compact totally disconnected groups
- XI. Cohomology with coefficients in $\Pi _\infty (G)$: The $p$-adic case
- XII. Differentiable cohomology for products of real Lie groups and T.D. groups
- XIII. Cohomology of discrete cocompact subgroups
- XIV. Non-cocompact $S$-arithmetic subgroups