On Lie 2-bialgebras  

作　　者：Qiao Yu Zhao Jia 

机构地区：[1]School of Mathematics and Information Science, Shaanxi Normal University

出　　处：《Communications in Mathematical Research》2018年第1期54-64,共11页数学研究通讯（英文版）

基　　金：The NSF(11301317,11571211) of China

摘　　要：A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2-coalgebra structure. In this paper, we give another equivalent description for Lie2-bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2-term direct sum of vector spaces is a Lie 2-bialgebra easily.A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2-coalgebra structure. In this paper, we give another equivalent description for Lie2-bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2-term direct sum of vector spaces is a Lie 2-bialgebra easily.

关 键 词：big bracket Lie 2-algebra Lie 2-coalgebra Lie 2-bialgebra 

分 类 号：O1[理学—数学]