Jordan automorphic generators of Euclidean Jordan algebras

被引：0
|
作者：
Kim, J [1 ]
Lim, Y [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2006年 / 43卷 / 03期
关键词：
euclidean Jordan algebra; symmetric cone; Koecher's theorem; Jordan automorphism; global tubular neighborhood theorem; simultaneous diagonalization; Cartan decomposition; metric and spectral geometric mean; spin factor;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that the Koecher's Jordan automorphic generators of one variable on an irreducible symmetric cone are enough to determine the elements of scalar multiple of the Jordan identity on the attached simple Euclidean Jordan algebra. Its various geometric, Jordan and Lie theoretic interpretations associated to the Cartan-Hadamard metric and Cartan decomposition of the linear automorphisms group of a symmetric cone are given with validity on infinite-dimensional spin factors.
引用
收藏
页码：507 / 528
页数：22
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