Jordan triples and Riemannian symmetric spaces

被引：16

作者：

Chu, Cho-Ho ^{[1
]}

机构：

[1] Univ London, Sch Math Sci, London E1 4NS, England

来源：

ADVANCES IN MATHEMATICS | 2008年 / 219卷 / 06期

关键词：

Jordan triple system; Tits-Kantor-Koecher construction; Orthogonal involutive Lie algebra; Riemannian symmetric space;

D O I：

10.1016/j.aim.2008.08.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a class of real Jordan triple systems, called JH-triples, and show, via the Tits-Kantor-Koecher construction of Lie algebras, that they correspond to a class of Riemannian symmetric spaces including the Hermitian symmetric spaces and the symmetric R-spaces. (C) 2008 Elsevier Inc. All rights reserved.

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页码：2029 / 2057

页数：29

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