The Jordan algebras of a Lie algebra

被引：23

作者：

Fernandez Lopez, Antonio

Garcia, Esther ^{[1
]}

Gomez Lozano, Miguel

机构：

[1] Univ Rey Juan Carlos, Dept Matemat Aplicada, Madrid 28933, Spain

[2] Univ Malaga, Dept Algebra Geometr & Topol, Malaga 29071, Spain

来源：

JOURNAL OF ALGEBRA | 2007年 / 308卷 / 01期

关键词：

D O I：

10.1016/j.jalgebra.2006.02.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We attach a Jordan algebra L-x to any ad-nilpotent element x of index of nilpotence at most 3 in a Lie algebra L. This Jordan algebra has a behavior similar to that of the local algebra of a Jordan system at an element. Thus, L-x inherits nice properties from L and keeps relevant information about the element x. (c) 2006 Elsevier Inc. All rights reserved.

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页码：164 / 177

页数：14

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