Hom-Malcev代数的配对和Manin Triple
Matched Pair and Manin Triple of Hom-Malcev Algebra
DOI: 10.12677/PM.2019.95084, PDF,   
作者: 李进圆：辽宁师范大学，辽宁 大连
关键词: Hom-Malcev代数；配对；Manin Triple；Hom-Malcev Algebra； Matched Pair； Manin Triple
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。
Abstract: 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.
文章引用：李进圆. Hom-Malcev代数的配对和Manin Triple[J]. 理论数学, 2019, 9(5): 632-640. https://doi.org/10.12677/PM.2019.95084

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