3-LIE BIALGEBRAS  

作　　者：白瑞蒲 程宇 李佳倩 孟伟 

机构地区：[1]College of Mathematics and Computer Science,Hebei University [2]Department of Mathematics,Baoding University

出　　处：《Acta Mathematica Scientia》2014年第2期513-522,共10页数学物理学报（B辑英文版）

基　　金：partially supported by NSF(11371245)of China;NSF(A2010000194)of Hebei Province

摘　　要：3-Lie algebras have close relationships with many important fields in mathemat- ics and mathematical physics. This article concerns 3-Lie algebras. The concepts of 3-Lie coalgebras and 3-Lie bialgebras are given. The structures of such categories of algebras and the relationships with 3-Lie algebras are studied. And the classification of 4-dimensional 3-Lie coalgebras and 3-dimensional 3-Lie bialgebras over an algebraically closed field of char- acteristic zero are provided.3-Lie algebras have close relationships with many important fields in mathemat- ics and mathematical physics. This article concerns 3-Lie algebras. The concepts of 3-Lie coalgebras and 3-Lie bialgebras are given. The structures of such categories of algebras and the relationships with 3-Lie algebras are studied. And the classification of 4-dimensional 3-Lie coalgebras and 3-dimensional 3-Lie bialgebras over an algebraically closed field of char- acteristic zero are provided.

关 键 词：3-Lie algebra 3-Lie coalgebra 3-Lie bialgebra 

分 类 号：O152.5[理学—数学] TM131[理学—基础数学]