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Book Review
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Book Information
Author(s):
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.,
$298.00,
ISBN 3-11-015669-5
References:
- [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
Additional Information:
Reviewer(s):
Bent
Orsted
Affiliation:
SDU Odense University
Email:
orsted@imada.sdu.dk
Review Information:
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
PII:
S 0273-0979(02)00936-9
Posted:
January 2, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
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