Bulletin of the American Mathematical Society

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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, $298.00$

[1]

J. Faraut and A. Koranyi, Analysis on Symmetric cones, Oxford University Press, 1994. MR 1446489

[2]

J. Hilgert, K. H. Hofmann and J. D. Lawson, Lie Groups, Convex cones, and Semigroups, Oxford University Press, 1989. MR 1032761

[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 1317720

[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 0639200

[5]

R. J. Stanton, Analytic extensions of the holomorphic discrete series, in Amer. J. Math. 108 (1986), 1411-1424. MR 0868896

[1]

J. Faraut and A. Koranyi, Analysis on Symmetric cones, Oxford University Press, 1994. MR 1446489

[2]

J. Hilgert, K. H. Hofmann and J. D. Lawson, Lie Groups, Convex cones, and Semigroups, Oxford University Press, 1989. MR 1032761

[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 1317720

[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 0639200

[5]

R. J. Stanton, Analytic extensions of the holomorphic discrete series, in Amer. J. Math. 108 (1986), 1411-1424. MR 0868896