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Book Review
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Book Information
Author(s):
Dmitri N. Akheizer
Title:
Lie group actions in complex analysis
Additional book information:
Aspects of Mathematics, vol. E27, Friedr. Vieweg,
Braunschweig and Wiesbaden,
1995,
vii + 201 pp.,
$49.00,
ISBN 3-528-06420-X
References:
- 1.
- D. Akhiezer, Spherical varieties, Schriftenreihe, Heft Nr. 199, Bochum, 1993.
- 2.
- L. Auslander, On radicals of discrete subgroups of Lie groups, Amer. J. Math. 85 (1963), 145-150. MR 27:2583
- 3.
- L. Bianchi, Sui gruppi di sostituzioni lineari con coefficienti appartenenti a corpi quadratici imaginari, Math. Ann. 40 (1892), 332-412.
- 4.
- M. Brion, Spherical varieties, Proc. Internat. Congr. Mathematicians, Zürich, 1994, pp. 753-760.
- 5.
- B. Gilligan, Ends of complex homogeneous manifolds having non-constant holomorphic functions, Arch. Math. 37 (1981), 544-555. MR 84h:32040
- 6.
- B. Gilligan and P. Heinzner, Globalization of holomorphic actions on principal bundles, preprint, 1995.
- 7.
- P. Heinzner and F. Kutzschebauch, An equivariant version of Grauert's Oka principle, Invent. Math. 119 (1995), 317-346. MR 96c:32034
- 8.
- A. T. Huckleberry, Actions of groups of holomorphic transformations, Several Complex Variables, VI, Encyclopaedia Math. Sci., vol. 69, Springer, Berlin, 1990, pp. 143-196. MR 92j:32115
- 9.
- A. T. Huckleberry and E. Oeljeklaus, A characterization of complex homogeneous cones, Math. Z. 170 (1978), 181-194. MR 81b:32017
- 10.
- W. Kaup, Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen, Invent. Math. 3 (1967), 43-70. MR 35:6865
- 11.
- D. Luna and T. Vust, Plongements d'espaces homogènes, Comment. Math. Helv. 58 (1983), 186-245. MR 85a:14035
- 12.
- J. Winkelmann, The classification of three-dimensional homogeneous complex manifolds, Lecture Notes in Math, vol. 1602, Springer-Verlag, Berlin and Heidelberg, 1995.
Additional Information:
Reviewer(s):
Bruce
Gilligan
Affiliation:
University of Regina
Email:
gilligan@max.cc.uregina.ca
Review Information:
Journal:
Bull. Amer. Math. Soc.
34
(1997),
89-93.
MSC
(1991):
Primary 32M05, 32M10, 32M12
DOI:
10.1090/S0273-0979-97-00702-7
PII:
S 0273-0979(97)00702-7
Copyright of article:
Copyright
1997,
American Mathematical Society
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