On the speciality of Jordan algebras and subquotients of Lie algebras

被引：2
|
作者：
Garcia, Esther [1 ]
Gomez Lozano, Miguel [2 ]
Munoz Alcazar, Ruben [1 ]
机构：
[1] Univ Rey Juan Carlos, Dept Matemat Aplicada Ciencia & Ingn Mat & Tecnol, Mostoles 28933, Madrid, Spain
[2] Univ Malaga, Dept Algebra Geometria & Topol, Malaga 29071, Spain
来源：
JOURNAL OF ALGEBRA | 2020年 / 563卷
关键词：
Lie algebra; Jordan algebra; Subquotient; Speciality; INNER IDEALS; ELEMENTS;
D O I：
10.1016/j.jalgebra.2020.07.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In [7] Jordan algebras were attached to ad-nilpotent elements of index less than or equal to three of Lie algebras. In this paper we study conditions on the own structure of the Lie algebras that imply the speciality of these Jordan algebras. Similar results are obtained when dealing with subquotients associated to abelian inner ideals. (C) 2020 Elsevier Inc. All rights reserved.
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页码：426 / 441
页数：16
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