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,
$49.50$
J. Frank Adams, Lectures on Lie groups, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0252560
Theodor Bröcker and Tammo tom Dieck, Representations of compact Lie groups, Graduate Texts in Mathematics, vol. 98, Springer-Verlag, New York, 1985. MR 781344, DOI 10.1007/978-3-662-12918-0
[3] É. Cartan, La Théorie des Groupes Finis et Continus et l'Analysis Situs, Gauthier-Villars, Paris, 1930.
P. Erdös and T. Grünwald, On polynomials with only real roots, Ann. of Math. (2) 40 (1939), 537–548. MR 7, DOI 10.2307/1968938
Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, Vol. 9, Springer-Verlag, New York-Berlin, 1972. MR 0323842
[7] L. Pontrjagin, Topological Groups, Princeton University Press, Princeton, New Jersey, 1939, translated by E. Lehmer.
Jean-Pierre Serre, Algèbres de Lie semi-simples complexes, W. A. Benjamin, Inc., New York-Amsterdam, 1966 (French). MR 0215886
V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Graduate Texts in Mathematics, vol. 102, Springer-Verlag, New York, 1984. Reprint of the 1974 edition. MR 746308, DOI 10.1007/978-1-4612-1126-6
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
D. P. Zhelobenko, Kompaktnye gruppy Li i ikh predstavleniya, Izdat. “Nauka”, Moscow, 1970 (Russian). MR 0473097
- [1]
- J. Adams, Lectures on Lie Groups, W. A. Benjamin, New York, 1969. MR 0252560
- [2]
- T. Bröcker and T. tom Dieck, Representations of compact Lie groups, Springer-Verlag, Berlin-Heidelberg-New York, 1985. MR 0781344
- [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 0514561
- [6]
- J.E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1972. MR 0323842; 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 0215886
- [9]
- V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Graduate Texts in Mathematics, vol. 102, Springer-Verlag, New York-Berlin, 1984. MR 0746308
- [10]
- N. Wallach, Real Reductive Groups I, Academic Press, San Diego, 1988. MR 0929683
- [11]
- G. Warner, Harmonic Analysis on Semisimple Lie Groups, vols. I and II, Springer-Verlag, Berlin, Heidelberg, New York, 1972. MR 0498999; 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 0473097
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
DOI:
https://doi.org/10.1090/S0273-0979-99-00790-9
Published electronically:
June 21, 1999
Review copyright:
© Copyright 1999
American Mathematical Society
