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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: Karl-Hermann Neeb
Title: Holomorphy and convexity in Lie theory
Additional book information: de Gruyter Expositions in Mathematics, vol. 28, de Gruyter, Berlin and New York, 2000, xxi~+ 778 pp., ISBN 3-11-015669-5, $298.00

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

  • [1] J. Faraut and A. Koranyi, Analysis on Symmetric cones, Oxford University Press, 1994. MR 98g:17031
  • [2] J. Hilgert, K. H. Hofmann and J. D. Lawson, Lie Groups, Convex cones, and Semigroups, Oxford University Press, 1989. MR 91k:22020
  • [3] K.-H. Neeb, On the convexity of the moment mapping for a unitary highest weight representation, in J. Func. Anal. 127:2 (1995), 301-325. MR 96e:22026
  • [4] G. I. Ol'shanskii, Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series, in Funct. Anal. Appl. 15 (1982) 275-285. MR 83e:32032
  • [5] R. J. Stanton, Analytic extensions of the holomorphic discrete series, in Amer. J. Math. 108 (1986), 1411-1424. MR 88b:22013

Review Information:

Reviewer: Bent Orsted
Affiliation: SDU Odense University
Journal: Bull. Amer. Math. Soc. 39 (2002), 287-291
MSC (2000): Primary 22-02, 22E15, 22E45, 17-02, 17B05, 17B10, 32E10, 32U05, 43A35, 43A65, 52-02, 81R05, 81R30
Published electronically: January 2, 2002
Review copyright: © Copyright 2002 American Mathematical Society
American Mathematical Society