Bulletin of the American Mathematical Society

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Book Information:

Author: 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.

Armand Borel and Nolan R. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Annals of Mathematics Studies, No. 94, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1980. MR 554917

Michel Duflo, Théorie de Mackey pour les groupes de Lie algébriques, Acta Math. 149 (1982), no. 3-4, 153–213 (French). MR 688348, DOI 10.1007/BF02392353

Mogens Flensted-Jensen, Analysis on non-Riemannian symmetric spaces, CBMS Regional Conference Series in Mathematics, vol. 61, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1986. MR 837420, DOI 10.1090/cbms/061

Sigurdur Helgason, Groups and geometric analysis, Pure and Applied Mathematics, vol. 113, Academic Press, Inc., Orlando, FL, 1984. Integral geometry, invariant differential operators, and spherical functions. MR 754767

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

Anthony W. Knapp, Lie groups, Lie algebras, and cohomology, Mathematical Notes, vol. 34, Princeton University Press, Princeton, NJ, 1988. MR 938524

Henrik Schlichtkrull, Hyperfunctions and harmonic analysis on symmetric spaces, Progress in Mathematics, vol. 49, Birkhäuser Boston, Inc., Boston, MA, 1984. MR 757178, DOI 10.1007/978-1-4612-5298-6

V. S. Varadarajan, Harmonic analysis on real reductive groups, Lecture Notes in Mathematics, Vol. 576, Springer-Verlag, Berlin-New York, 1977. MR 0473111

David A. Vogan Jr., Representations of real reductive Lie groups, Progress in Mathematics, vol. 15, Birkhäuser, Boston, Mass., 1981. MR 632407

David A. Vogan Jr., The unitary dual of $\textrm {GL}(n)$ over an Archimedean field, Invent. Math. 83 (1986), no. 3, 449–505. MR 827363, DOI 10.1007/BF01394418

Nolan R. Wallach, Real reductive groups. I, Pure and Applied Mathematics, vol. 132, Academic Press, Inc., Boston, MA, 1988. MR 929683

Garth Warner, Harmonic analysis on semi-simple Lie groups. I, Die Grundlehren der mathematischen Wissenschaften, Band 188, Springer-Verlag, New York-Heidelberg, 1972. MR 0498999

13.

G. J. Zuckerman, Construction of representations via derived functors, Lectures at Institute for Advanced Study, Princeton, N. J., Spring 1978.

1.

A. Borel and N. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Princeton Univ. Press, Princeton, N. J., 1980. MR 0554917

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.