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

页码：559 / 591

页数：33

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