Lie triple systems and Leibniz algebras

被引：0
|
作者：
Kurdiani, Revaz [1 ]
机构：
[1] I Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, 13 Univ Str, GE-0186 Tbilisi, Georgia
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 01期
基金：
美国国家科学基金会;
关键词：
Leibniz algebras; Lie algebras; Lie triple systems; universal central extensions;
D O I：
10.1515/gmj-2020-2053
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper deals with the Lie triple systems via Leibniz algebras. A perfect Lie algebra as a perfect Leibniz algebra and as a perfect Lie triple system is considered and the appropriate universal central extensions are studied. Using properties of Leibniz algebras, it is shown that the Lie triple system universal central extension is either the universal central extension of the Leibniz algebra or the universal central extension of the Lie algebra.
引用
收藏
页码：109 / 116
页数：8
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