Book Review
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MathSciNet review:
1567836
Full text of review:
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This review is available free of charge.
Book Information:
Author:
Nolan R. Wallach
Title:
Real reductive groups.
Additional book information:
Academic Press, Pure and Applied Mathematics, San Diego, 1988, xix + 412 pp., $59.95. ISBN 0-12-732960-9.
Harish-Chandra, Harmonic analysis on semisimple Lie groups, Bull. Amer. Math. Soc. 76 (1970), 529–551. MR 257282, DOI 10.1090/S0002-9904-1970-12442-9
2. Harish-Chandra, Harish-Chandra's collected papers (V. S. Varadarajan, editor), vols. 1-4, Springer-Verlag, Berlin and New York, 1984.
Anthony W. Knapp, Representation theory of semisimple groups, Princeton Mathematical Series, vol. 36, Princeton University Press, Princeton, NJ, 1986. An overview based on examples. MR 855239, DOI 10.1515/9781400883974
A. W. Knapp and Gregg J. Zuckerman, Classification of irreducible tempered representations of semisimple groups, Ann. of Math. (2) 116 (1982), no. 2, 389–455. MR 672840, DOI 10.2307/2007066
David A. Vogan Jr., Representations of real reductive Lie groups, Progress in Mathematics, vol. 15, Birkhäuser, Boston, Mass., 1981. MR 632407
Nolan R. Wallach, On the unitarizability of derived functor modules, Invent. Math. 78 (1984), no. 1, 131–141. MR 762359, DOI 10.1007/BF01388720
- 1.
- Harish-Chandra, Harmonic analysis on semisimple Lie groups. Bull. Amer. Math. Soc. 76 (1970), 529-551. MR 0257282
- 2.
- Harish-Chandra, Harish-Chandra's collected papers (V. S. Varadarajan, editor), vols. 1-4, Springer-Verlag, Berlin and New York, 1984.
- 3.
- A. Knapp, Representation theory of semisimple groups, Princeton Math. Series 36, Princeton Univ. Press, Princeton, N. J., 1986. MR 855239
- 4.
- A. Knapp and G. Zuckerman, Classification of irreducible tempered representations of semisimple Lie groups, Ann. of Math. (2) 116 (1982), 389-501. MR 672840
- 5.
- D. Vogan, Representations of real reductive Lie groups, Progress in Math. 15, Birkhauser, 1981. MR 632407
- 6.
- N. Wallach, On the unitarizability of derived functor modules, Invent. Math. 78 (1984), 131-141. MR 762359
Review Information:
Reviewer:
David H. Collingwood
Journal:
Bull. Amer. Math. Soc.
22 (1990), 183-198
DOI:
https://doi.org/10.1090/S0273-0979-1990-15876-8
