数学物理学报（英文版）
數學物理學報（英文版）
수학물이학보（영문판）
ACTA MATHEMATICA SCIENTIA
2014年
2期
513-522
,共10页
白瑞蒲%程宇%李佳倩%孟伟
白瑞蒲%程宇%李佳倩%孟偉
백서포%정우%리가천%맹위
3-Lie algebra%3-Lie coalgebra%3-Lie bialgebra
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.
