Continuous cohomology, discrete subgroups, and representations of reductive groups /
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Author / Creator: | Borel, Armand. |
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Edition: | 2nd ed. |
Imprint: | Providence, R.I. : American Mathematical Society, c2000. |
Description: | xvii, 260 p. ; 27 cm. |
Language: | English |
Series: | Mathematical surveys and monographs, 0076-5376 ; v. 67 Mathematical surveys and monographs ; no. 67. |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4062588 |
Table of Contents:
- Notation and preliminaries Relative Lie algebra cohomology
- Scalar product, Laplacian and Casimir element
- Cohomology with respect to an induced representation
- The Langlands classification and uniformly bounded representations
- Cohomology with coefficients in $\Pi_\infty(G)$
- The computation of certain cohomology groups
- Cohomology of discrete subgroups and Lie algebra cohomology
- The construction of certain unitary representations and the computation of the corresponding cohomology groups
- Continuous cohomology and differentiable cohomology
- Continuous and differentiable cohomology for locally compact totally disconnected groups
- Cohomology with coefficients in $\Pi_\infty(G)$: The $p$-adic case Differentiable cohomology for products of real Lie groups and t.d. groups
- Cohomology of discrete cocompact subgroups
- Noncompact $S$-arithmetic subgroups
- Bibliography
- Index