摘要
本文主要研究了Hom-Malcev代数的配对和Manin triple。首先给出Hom-Malcev代数的配对的定义以及在两个Hom-Malcev代数的直和上构造Hom-Malcev代数的方法,研究在Hom-Malcev代数的对偶空间上构造Hom-Malcev代数的方法。然后给出Hom-Malcev代数的Manin triple的定义,并给出Hom-Malcev代数的配对和Manin triple之间的关系。
In this paper,we study matched pair and Manin triple of Hom-Malcev algebra.First,we give the definition of matched pair of Hom-Malcev algebra and the method of getting a new Hom-Malcev algebra on the direct sum of two Hom-Malcev algebras,we also study the method of constructing a new Hom-Malcev algebra on the dual space of Hom-Malcev algebra.Then,we give the definition of Manin triple of Hom-Malcev algebra,and we give the relation between matched pair and Manin triple of Hom-Malcev algebra.
出处
《理论数学》
2019年第5期632-640,共9页
Pure Mathematics
