Book Review
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Book Information:
Author:
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.,
ISBN 3-528-06420-X,
$49.00$
1. D. Akhiezer, Spherical varieties, Schriftenreihe, Heft Nr. 199, Bochum, 1993.
Louis Auslander, On radicals of discrete subgroups of Lie groups, Amer. J. Math. 85 (1963), 145–150. MR 152607, DOI 10.2307/2373206
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.
Bruce Gilligan, Ends of complex homogeneous manifolds having nonconstant holomorphic functions, Arch. Math. (Basel) 37 (1981), no. 6, 544–555. MR 646514, DOI 10.1007/BF01234393
6. B. Gilligan and P. Heinzner, Globalization of holomorphic actions on principal bundles, preprint, 1995.
Peter Heinzner and Frank Kutzschebauch, An equivariant version of Grauert’s Oka principle, Invent. Math. 119 (1995), no. 2, 317–346. MR 1312503, DOI 10.1007/BF01245185
Alan T. Huckleberry, Actions of groups of holomorphic transformations, Several complex variables, VI, Encyclopaedia Math. Sci., vol. 69, Springer, Berlin, 1990, pp. 143–196. MR 1095091
Alan T. Huckleberry and Eberhard Oeljeklaus, A characterization of complex homogeneous cones, Math. Z. 170 (1980), no. 2, 181–194. MR 562587, DOI 10.1007/BF01214773
W. Kaup, Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen, Invent. Math. 3 (1967), 43–70 (German). MR 216030, DOI 10.1007/BF01425490
D. Luna and Th. Vust, Plongements d’espaces homogènes, Comment. Math. Helv. 58 (1983), no. 2, 186–245 (French). MR 705534, DOI 10.1007/BF02564633
12. J. Winkelmann, The classification of three-dimensional homogeneous complex manifolds, Lecture Notes in Math, vol. 1602, Springer-Verlag, Berlin and Heidelberg, 1995.
- 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.
Review Information:
Reviewer:
Bruce Gilligan
Affiliation:
University of Regina
Email:
gilligan@max.cc.uregina.ca
Journal:
Bull. Amer. Math. Soc.
34 (1997), 89-93
DOI:
https://doi.org/10.1090/S0273-0979-97-00702-7
Review copyright:
© Copyright 1997
American Mathematical Society
