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Book Review
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Book Information
Author(s):
David A. Vogan Jr.
Title:
Unitary representations of reductive Lie groups
Additional book information:
Annals of Mathematics Studies, vol. 118, Princeton University Press, Princeton, N. J., 1987, x + 308 pp., $60.00 cloth, $19.50 paper. ISBN 0-691-08481-5, ISBN 0-691-08482-3
References:
- 1.
- A. Borel and N. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Princeton Univ. Press, Princeton, N. J., 1980. MR 554917
- 2.
- M. Duflo, Théorie de Mackey pour les groupes de Lie algèbriques, Acta Math. 149 (1982), 153-213. MR 688348
- 3.
- M. Flensted-Jensen, Analysis on non-Riemannian symmetric spaces, CBMS Regional Conf. Ser. in Math., no. 61, Amer. Math. Soc., Providence, R. I., 1986. MR 837420
- 4.
- S. Helgason, Groups and geometric analysis, Academic Press, Orlando, 1984. MR 754767
- 5.
- A. W. Knapp, Representation theory of semisimple groups, an overview based on examples, Princeton Univ. Press, Princeton, N. J., 1986. MR 855239
- 6.
- A. W. Knapp, Lie groups, Lie algebras, and cohomology, Princeton Univ. Press, Princeton, N. J., 1988. MR 938524
- 7.
- H. Schlichtkrull, Hyperfunctions and harmonic analysis on symmetric spaces, Birkhäuser, Boston, 1984. MR 757178
- 8.
- V. S. Varadarajan, Harmonic analysis on real reductive groups, Lecture Notes in Math., vol. 577, Springer-Verlag, Berlin and New York, 1977. MR 473111
- 9.
- D. A. Vogan, Representations of real reductive Lie groups, Birkhäuser, Boston, 1981. MR 632407
- 10.
- D. A. Vogan, The unitary dual of GL(n) over an archimedean field, Invent. Math. 83 (1986), 449-505. MR 827363
- 11.
- N. R. Wallach, Real reductive groups. I, Academic Press, Boston, 1988. MR 929683
- 12.
- G. Warner, Harmonic analysis on semi-simple Lie groups, vols. I and II, Springer-Verlag, New York, 1972. MR 498999
- 13.
- G. J. Zuckerman, Construction of representations via derived functors, Lectures at Institute for Advanced Study, Princeton, N. J., Spring 1978.
Additional Information:
Reviewer(s):
A. W.
Knapp
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
380-384.
DOI:
10.1090/S0273-0979-1989-15872-2
PII:
S 0273-0979(1989)15872-2
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