Polar orthogonal representations of real reductive algebraic groups

被引：4
|
作者：
Geatti, Laura [2 ]
Gorodski, Claudio [1 ]
机构：
[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil
[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
来源：
JOURNAL OF ALGEBRA | 2008年 / 320卷 / 07期
关键词：
polar representations; real reductive algebraic groups; pseudo-Riemannian symmetric spaces;
D O I：
10.1016/j.jalgebra.2008.06.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudo-Riemannian symmetric space. We also develop a partial structural theory of polar orthogonal representations of real reductive algebraic groups which slightly generalizes some results of the structural theory of real reductive Lie algebras. (c) 2008 Elsevier Inc. All rights reserved.
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页码：3036 / 3061
页数：26
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