Continuous cohomology, discrete subgroups, and representations of reductive groups /

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Bibliographic Details
Author / Creator:Borel, Armand.
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
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Other authors / contributors:Wallach, Nolan R.
ISBN:0821808516 (alk. paper)
Notes:Includes bibliographical references (p. 253-258) and index.
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