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Book Review

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Book Information:

Author: Anthony W. Knapp
Title: Lie groups: Beyond an introduction
Additional book information: Birkhäuser, Boston, MA, 1996, xv+604 pp., ISBN 3-7643-3926-8, $49.50

References [Enhancements On Off] (What's this?)

  • [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

Review Information:

Reviewer: David A. Vogan, Jr.
Affiliation: Massachusetts Institute of Technology
Email: dav@math.mit.edu
Journal: Bull. Amer. Math. Soc. 36 (1999), 493-498
MSC (1991): Primary 22Exx; Secondary 46E25, 20C20
DOI: https://doi.org/10.1090/S0273-0979-99-00790-9
Published electronically: June 21, 1999
Review copyright: © Copyright 1999 American Mathematical Society
American Mathematical Society