An infinitesimal characterization of the complexity of homogeneous spaces

被引：1
|
作者：
Panyushev, DI
Vinberg, EB
机构：
[1] Ul Akad naokhina, Moscow, Russia
[2] Moscow MV Lomonosov State Univ, Dept Math, Moscow 119899, Russia
来源：
TRANSFORMATION GROUPS | 1999年 / 4卷 / 01期
关键词：
Generic Point; Homogeneous Space; Topological Group; Mutual Position; Weyl Involution;
D O I：
10.1007/BF01236663
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A characterization of the complexity of a homogeneous space O of a reductive group G is given in terms of the mutual position of the tangent Lie algebra of the stabilizer of a generic point of O and the (-1)-eigenspace of a Weyl involution of g.
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页码：97 / 101
页数：5
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