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Book Review

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Book Information:

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

  • 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.

Review Information:

Reviewer: Karl H. Hofmann
Journal: Bull. Amer. Math. Soc. 16 (1987), 153-161
DOI: https://doi.org/10.1090/S0273-0979-1987-15497-8
American Mathematical Society