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Orbits of real forms in complex flag manifolds

机译:复杂旗形流形中的实际轨道轨道

摘要

We study, from the point of view of CR geometry, the orbits M of a real formG of a complex semisimple Lie group G in a complex flag manifold G/Q. Inparticular we characterize those that are of finite type and satisfy some Levinondegeneracy conditions. These properties are also graphically described byattaching to them some cross-marked diagrams that generalize those for minimalorbits that we introduced in a previous paper. By constructing canonicalfibrations over real flag manifolds, with simply connected complex fibers, weare also able to compute their fundamental group.
机译:从CR几何学的角度,我们研究了复杂标志流形G / Q中的复杂半简单李群G的实形G的轨道M。特别是,我们对那些有限类型且满足某些列维简并性条件的特征进行了刻画。这些属性还通过在图形上附加一些交叉标记的图来进行描述,这些图将我们在前一篇论文中介绍的最小轨道的图形概括化。通过在带有简单连接的复杂纤维的实际旗形流形上构造规范纤维,穿戴者还能够计算其基本群。

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