Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras

被引：2
|
作者：
Tan, Youjun [1 ]
Xu, Senrong [2 ]
机构：
[1] Sichuan Univ, Math Coll, 24 South Sect 1,Yihuan Rd, Chengdu 610064, Peoples R China
[2] Jiangsu Univ, Sch Math Sci, 301 Xuefu Rd, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2022年 / 72卷 / 02期
关键词：
quasi-trace function; 3-Lie algebra; Leibniz algebra; COHOMOLOGY; EXTENSIONS; LEIBNIZ; IDEALS;
D O I：
10.21136/CMJ.2022.0059-21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of quasi-trace functions on Lie algebras. As applications we study realizations of 3-dimensional and 4-dimensional 3-Lie algebras. Some comparison results on cohomologies of 3-Lie algebras and Leibniz algebras arising from quasi-trace functions are obtained.
引用
收藏
页码：559 / 591
页数：33
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