Book Review
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MathSciNet review:
1568020
Full text of review:
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Book Information:
Author:
Roger Howe and Eng-Chye Tan
Title:
Non-abelian harmonic analysis. Applications of $SL(2, \mathbb{R})$
Additional book information:
Universitext, Springer-Verlag, New York, 1992, xv+257 pp. ISBN 0-387-97768-6.
J.-E. Björk, Rings of differential operators, North-Holland Mathematical Library, vol. 21, North-Holland Publishing Co., Amsterdam-New York, 1979. MR 549189
A. Borel, P.-P. Grivel, B. Kaup, A. Haefliger, B. Malgrange, and F. Ehlers, Algebraic $D$-modules, Perspectives in Mathematics, vol. 2, Academic Press, Inc., Boston, MA, 1987. MR 882000
G. J. Heckman, Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups, Invent. Math. 67 (1982), no. 2, 333–356. MR 665160, DOI 10.1007/BF01393821
James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, Vol. 9, Springer-Verlag, New York-Berlin, 1972. MR 0323842
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
Nolan R. Wallach, Real reductive groups. I, Pure and Applied Mathematics, vol. 132, Academic Press, Inc., Boston, MA, 1988. MR 929683
- [1]
- J. Björk, Rings of differential operators, North-Holland, Amsterdam, Oxford, and New York, 1979. MR 549189 (82g:32013)
- [2]
- A. Borel et al., Algebraic D-modules, Perspec. Math., vol. 2, Academic Press, Boston, MA, 1987. MR 882000 (89g:32014)
- [3]
- G. Heckman, Projections of orbits and asymptotic behaviour of multiplicities for compact connected Lie groups, Invent. Math. 67 (1982), 333-356. MR 665160 (84d:22019)
- [4]
- J. E. Humphreys, Introduction to Lie algebras and representation theory, Springer-Verlag, Berlin, Heidelberg, and New York, 1972. MR 0323842 (48:2197)
- [5]
- A. Knapp, Representation theory of real semisimple groups: an overview based on examples, Princeton Univ. Press, Princeton, NJ, 1986. MR 855239 (87j:22022)
- [6]
- N. Wallach, Real reductive groups, vol. I, Academic Press, San Diego, CA, 1988. MR 929683 (89i:22029)
Review Information:
Reviewer:
David A. Vogan, Jr.
Journal:
Bull. Amer. Math. Soc.
28 (1993), 176-182
DOI:
https://doi.org/10.1090/S0273-0979-1993-00345-8