ω-Dendriform代数和ω-Quadri代数  

ω-Dendriform Algebras and ω-Quadri Algebras

作　　者：王秋艳 

机构地区：[1]辽宁师范大学数学学院,辽宁 大连

出　　处：《理论数学》2025年第2期114-128,共15页Pure Mathematics

摘　　要：本文定义了ω-dendriform代数和ω-quadri代数,并且研究了他们之间的代数结构的关系。首先,引入ω-左对称代数的表示的定义,研究其与ω-李代数的表示之间的关系。然后,类比结合代数与dendriform代数和quadri代数之间的关系,定义ω-dendriform代数和ω-quadri代数,并且研究了ω-李代数、ω-左对称代数、ω-dendriform代数和ω-quadri代数之间的关系。In this paper, we define ω-dendriform algebra and ω-quadri algebra, and study the relationship between them. Firstly, the definition of representation of ω-left-symmetric algebra is introduced, and the relationship between the representation on ω-dendriform algebra and ω-Lie algebra is studied. Then, by analogying the relationship among associative algebra, dendriform algebra and quadri algebra, ω-dendriform algebra and ω-quadri algebra are defined, and the relationship among ω-Lie algebra, ω-left-symmetric algebra, ω-dendriform algebra and ω-quadri algebra is studied.

关 键 词：ω-李代数 ω-Dendriform代数 ω-Quadri代数 

分 类 号：O15[理学—数学]