Real groups transitive on complex flag manifolds

被引：9

作者：

Wolf, JA ^{[1
]}

机构：

[1] Ruhr Univ Bochum, Inst Math, D-44780 Bochum, Germany

[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 08期

关键词：

semisimple Lie group; semisimple Lie algebra; representation; flag manifold; flag domain;

D O I：

10.1090/S0002-9939-01-05825-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Z = G/Q be a complex flag manifold. The compact real form G(u) of G is transitive on Z. If G(0) is a noncompact real form, such transitivity is rare but occasionally happens. Here we work out a complete list of Lie subgroups of G transitive on Z and pick out the cases that are noncompact real forms of G.

引用

页码：2483 / 2487

页数：5