摘要
利用对合导子及伴随表示的对偶模构造了对偶 3-李代数,证明了特征为 0 的代数闭域上任意 4-维 3-李代数存在对合导子,并利用 4-维 3-李代数的对合导子构造了 7 种不同构的 8-维 3-李代数的 Manin Triple。
Dual 3-Lie algebras are constructed by involutive derivations and dual modules. It is proved that there exist involutive der- ivations on 4-dimensional 3-Lie algebras over an algebraically closed field of characteristic zero,and by the involutive derivations on 4-dimensional 3-Lie algebras,seven non-isomorphic 8-dimensional Manian Triples of 3-Lie algebras are constructed.
作者
白瑞蒲
吴婴丽
侯帅
BAI Rui-pu;WU Ying-li;HOU Shuai(College of Mathematics and Information Science,Hebei University,Baoding 071002,Hebei,China;Key Laboratory of Machine Learning and Computational Intelligence of Hebei Province,Baoding 071002,Hebei,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2019年第6期30-33,共4页
Journal of Shandong University(Natural Science)
基金
河北省自然科学基金资助项目(A2018201126)
