Flag Duality

被引：0

作者：

Alan T. Huckleberry

Joseph A. Wolf

机构：

[1] Ruhr-Universität Bochum,Institut für Mathematik

[2] Ruhr-Universität Bochum,Institut für Mathematik

来源：

Annals of Global Analysis and Geometry | 2000年 / 18卷

关键词：

complex flag manifolds; duality; flag domains;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a duality on complex flag manifolds that extendsthe usual point-hyperplane duality of complex projective spaces. Thishas consequences for the structure of the linear cycle spaces of flagdomains, especially when those flag domains are not measurable.

引用

页码：331 / 340

页数：9

共 6 条

[1]

De Siebenthal J.(1956)Sur les groupes de Lie compacts non connexes Comment. Math. Helv 31 41-89

[2]

Gray A.(1968)Homogeneous spaces defined by Lie group automorphisms I, II J. Differential Geom. 2 115-159

[3]

Wolf J. A.(1969)The action of a real semisimple group on a complex flag manifold, I: Orbit structure and holomorphic arc components Bull. Amer. Math. Soc. 75 1121-1237

[4]

Wolf J. A.(1992)The Stein condition for cycle spaces of open orbits on complex flag manifolds Ann. of Math. (2) 136 541-555

[5]

Wolf J. A.(1995)Exhaustion functions and cohomology vanishing theorems for open orbits on complex flag manifolds Math. Res. Lett. 2 179-191

[6]

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