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Book Review
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Book Information
Author(s):
Anthony W. Knapp
Title:
Lie groups: Beyond an introduction
Additional book information:
Birkhäuser,
Boston, MA,
1996,
xv+604,
$49.50,
3-7643-3926-8
References:
- [1]
- J. Adams, Lectures on Lie Groups, W. A. Benjamin, New York, 1969. MR 40:5780
- [2]
- T. Bröcker and T. tom Dieck, Representations of compact Lie groups, Springer-Verlag, Berlin-Heidelberg-New York, 1985. MR 86i:22023
- [3]
- É. Cartan, La Théorie des Groupes Finis et Continus et l'Analysis Situs, Gauthier-Villars, Paris, 1930.
- [4]
- C. Chevalley, Theory of Lie Groups, Princeton University Press, Princeton, New Jersey, 1946. MR 7:412c; MR 18:583c
- [5]
- S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, New York, San Francisco, London, 1978. MR 80k:53081
- [6]
- J.E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1972. MR 48:2197; MR 81b:17007
- [7]
- L. Pontrjagin, Topological Groups, Princeton University Press, Princeton, New Jersey, 1939, translated by E. Lehmer.
- [8]
- J.P. Serre, Algèbres de Lie Semi-Simples Complexes, W. A. Benjamin, New York, 1966. MR 35:6721
- [9]
- V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Graduate Texts in Mathematics, vol. 102, Springer-Verlag, New York-Berlin, 1984. MR 85e:22001
- [10]
- N. Wallach, Real Reductive Groups I, Academic Press, San Diego, 1988. MR 89i:22029
- [11]
- G. Warner, Harmonic Analysis on Semisimple Lie Groups, vols. I and II, Springer-Verlag, Berlin, Heidelberg, New York, 1972. MR 58:16979; MR 58:16980
- [12]
- D. \v{Z}elobenko, Compact Lie Groups and Their Representations, Translations of Mathematical Monographs 40, American Mathematical Society, Providence, Rhode Island, 1973. MR 57:12776b
Additional Information:
Reviewer(s):
David
A.
Vogan
Jr.
Affiliation:
Massachusetts Institute of Technology
Email:
dav@math.mit.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
36
(1999),
493-498.
MSC
(1991):
Primary 22Exx;
Secondary 46E25, 20C20
DOI:
10.1090/S0273-0979-99-00790-9
PII:
S 0273-0979(99)00790-9
Posted:
June 21, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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