Idempotents and Peirce gradings of Jordan algebras

被引：0
作者：
Anquela, Jose A. [1 ]
Cortes, Teresa [1 ]
机构：
[1] Univ Oviedo, Dept Matemat, Oviedo 33007, Spain
来源：
JOURNAL OF ALGEBRA | 2008年 / 320卷 / 08期
关键词：
idempotent; Jordan algebra; Peirce grading;
D O I：
10.1016/j.jalgebra.2008.07.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we find a necessary and sufficient condition for a Peirce grading of a Jordan algebra J to come from a Peirce decomposition with respect to an idempotent of a Jordan algebra J containing J as a subalgebra. We also show that the above conditions holds automatically when J is nondegenerate. (C) 2008 Elsevier Inc. All rights reserved.
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页码：3133 / 3144
页数：12
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