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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. Saunders Mac Lane, Correction: “Nicholas Bourbaki, collective mathematician: an interview with Claude Chevalley” [Math. Intelligencer 7 (1985), no. 2, 18–22; MR0784939 (87f:01025a)] by Denis Guedj, Math. Intelligencer 8 (1986), no. 2, 5. MR 832590, https://doi.org/10.1007/BF03026827
  • 6. Nicholas Bourbaki, Groupes et algèbres de Lie. 9, Masson, Paris, New York, Barcelona, Milan, Mexico, Rio de Janeiro, 1982.
  • 7. Jean Dieudonné, General orientation of pure mathematics in 1973, Bol. Mat. 12 (1978), no. 4-6, 214–222 (Spanish). MR 538804
  • 8. Howard D. Fegan and Richard S. Millman, Progress Reports: MacDonald’s 𝜂-Function Formula and Some Developments in Differential Geometry, Amer. Math. Monthly 93 (1986), no. 5, 368–371. MR 1540862, https://doi.org/10.2307/2323594
  • 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, Continuous lattices, topology and topological algebra, Proceedings of the 1977 Topology Conference (Louisiana State Univ., Baton Rouge, La., 1977), I, 1977, pp. 179–212 (1978). With a bibliography. MR 540605
  • 12. Karl Heinrich Hofmann, Ein mathematisches Fundstück aus dem Musée Cluny, Mitt. Dtsch. Math.-Ver. 4 (2003), 12–15 (German, with German summary). 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), no. 9, 600–623. MR 719752, https://doi.org/10.2307/2323277
  • 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, Dover Publications, Inc., New York, 1979. Republication of the 1962 original. 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, Hochschultext. [University Textbooks], Springer-Verlag, Berlin, 1983 (German). With the collaboration of Manfred Krämer and Hans Scheerer. 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