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Book Review
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Book Information
Author(s):
Theodor Bröcker and Tammo tom Dieck
Title:
Representations of compact Lie groups
Additional book information:
Graduate Texts in Mathematics, Vol. 98, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1985, x + 313 pp., $39.00. ISBN 0-387-13678-9
References:
- 1.
- J. Frank Adams, Lectures on Lie groups, Benjamin, New York, Amsterdam, 1969, xii + 182 pp. MR 252560
- 2.
- Nicholas Bourbaki, Groupes et algèbres de Lie. I, Hermann, Paris, 1960. MR 132805
- 3.
- Nicholas Bourbaki, Groupes et algèbres de Lie. 4, 5 et 6, ibid., 1968.
- 4.
- Nicholas Bourbaki, Groupes et algèbres de Lie. 2 et 3, ibid., 1972.
- 5.
- Nicholas Bourbaki, Groupes et algèbres de Lie. 7 et 8, ibid., 1975. MR 832590
- 6.
- Nicholas Bourbaki, Groupes et algèbres de Lie. 9, Masson, Paris, New York, Barcelona, Milan, Mexico, Rio de Janeiro, 1982.
- 7.
- Jean Dieudonné, Orientation générale des mathématiques pures en 1973, Gaz. Math. (Octobre 1974), 73-79 (see also Bol. Mat. 12 (1978), 241-222. MR 81c: 00001). MR 538804
- 8.
- Howard D. Fegan and Richard S. Millman, Macdonald's η-function formula and some developments in differential geometry, Amer. Math. Monthly 93 (1986), 369-371. MR 1540862
- 9.
- Hans Freudenthal and H. de Vries, Linear Lie groups, Academic Press, New York, London, 1969, xxxii + 547 pp. MR 260926
- 10.
- Gerhard P. Hochschild, The structure of Lie groups, Holden-Day, San Francisco, 1965. MR 207883
- 11.
- Karl Heinrich Hofmann, Einführung in die Theorie der Liegruppen, Teil 1 und Teil 2 (mit Falko Lorenz), Vorlesungen an der Univ. Tübingen 1962/63, Univ. Tübingen, 1963. MR 540605
- 12.
- Karl Heinrich Hofmann, Introduction to the theory of compact groups. I, II, Lectures at Tulane University 1966/69, Preprints and Lecture Notes Tulane University, New Orleans, 1969. MR 2043355
- 13.
- Karl Heinrich Hofmann, Finite dimensional submodules of G-modules for a compact group, Proc. Cambridge Philos. Soc. 65 (1969), 47-52. MR 38 #5992. MR 237711
- 14.
- Roger Howe, Very basic Lie theory, Amer. Math. Monthly 90 (1983), 600-623 and 91 (1984), 247. MR 719752
- 15.
- G. A. Hunt, A theorem of Élie Cartan, Proc. Amer. Math. Soc. 7 (1956), 307-308. MR 17-989. MR 77075
- 16.
- Nathan Jacobson, Lie algebras, Interscience Publishers, New York, London, 1961. Reprinted: Dover Publications, 1979. MR 559927
- 17.
- Deane Montgomery and Leon Zippin, Topological transformation groups, Interscience Publishers, New York, 1955. MR 73104
- 18.
- Jacques Tits, Liesche Gruppen und Algebren, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1983. MR 716684
- 19.
- André Weil, L'intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1938.
Additional Information:
Reviewer(s):
Karl H.
Hofmann
Review Information:
Journal:
Bull. Amer. Math. Soc.
16
(1987),
153-161.
DOI:
10.1090/S0273-0979-1987-15497-8
PII:
S 0273-0979(1987)15497-8
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