Bulletin of the American Mathematical Society

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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, $298.00, 3-11-015669-5

[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

Reviewer(s):
Bent Orsted
Affiliation: SDU Odense University
Email: orsted@imada.sdu.dk

MSC (2000): Primary 22-02, 22E15, 22E45, 17-02, 17B05, 17B10, 32E10, 32U05, 43A35, 43A65, 52-02, 81R05, 81R30
DOI: 10.1090/S0273-0979-02-00936-9
PII: S 0273-0979(02)00936-9
Posted: January 2, 2002
Copyright of article: Copyright 2002, American Mathematical Society

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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