On Non-Abelian Extensions of 3-Lie Algebras

作     者：Li-Na Song Abdenacer Makhlouf Rong Tang 宋丽娜;Abdenacer Makhlouf;唐荣

作者机构：Department of Mathematics Jilin University Changchun 130012 China University of Haute Alsace Laboratoire de Math~matiques Informatique et Applications Mulhouse France 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2018年第69卷第4期

页      面：347-356页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：Supported by National Natural Science Foundation of China under Grant No.11471139 National Natural Science Foundation of Jilin Province under Grant No.20170101050JC 

主　　题：3-Lie algebras Leibniz algebra non-abelian extension Maurer-Cartan element 

摘      要：In this paper, we study non-abelian extensions of 3-Lie algebras through Maurer-Cartan elements. We show that there is a one-to-one correspondence between isomorphism classes of non-abelian extensions of 3-Lie algebras and equivalence classes of Maurer-Cartan elements in a DGLA. The structure of the Leibniz algebra on the space of fundamental objects is also analyzed.