摘要
对低维半结合3-代数的结构进行了分类,证明了在同构的意义下,仅存在2类3-维半结合3-代数,4类4-维半结合3-代数和6类5-维半结合3-代数,并给出了每一类半结合3-代数在一组基下的具体乘法结构.
The structure of semi-associative 3-algebras is studied.The classification of low dimensional semi-associative 3-algebras is given.It is proved that under isomorphism,there are only two classes of 3-dimensional semi-associative 3-algebras,four classes 4-dimensional semi-associative 3-algebras and six classes 5-dimensional semi-associative 3-algebras.And the concrete multiplications of each class of semi-associate 3-algebras in a basis are provided.
作者
白瑞蒲
刘培
张艳
BAI Ruipu;LIU Pei;ZHANG Yan(College of Mathematics and Information Science,Hebei University,Baoding 071002,China)
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2020年第2期113-118,共6页
Journal of Hebei University(Natural Science Edition)
基金
河北省自然科学基金资助项目(20182011126)。
关键词
半结合3-代数
分类
3-李代数
semi-associative 3-algebra
classification
3-Lie algebra
