3-LIE BIALGEBRAS

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...

Full description

Saved in:
Bibliographic Details
Published inActa mathematica scientia Vol. 34; no. 2; pp. 513 - 522
Main Author 白瑞蒲 程宇 李佳倩 孟伟
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2014
Subjects
17B05
17D99
3-Lie algebra
3-Lie bialgebra
3-Lie coalgebra
代数和
代数闭域
数学物理
李代数
李双代数
3-Lie coalgebra
3-Lie bialgebra
17D99
17B05
3-Lie algebra
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(14)60024-2

Cover

More Information
Summary: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.
Bibliography:3-Lie algebra; 3-Lie coalgebra; 3-Lie bialgebra
42-1227/O
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.
Ruipu BAI, Yu CHENG, Jiaqian LIE（ College of Mathematics and Computer Science, Hebei University, Baoding 071002, China; Department of Mathematics, Baoding University, Baoding 071002, China; College of Mathematics and Computer Science, Hebei University, Baoding 071002, China; College of Mathematics and Computer Science, Hebei University, Baoding 071002, China）
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(14)60024-2