曲阜师范大学学报（自然科学版）2025，Vol.51Issue(2)：49-58,10.DOI:10.3969/j.issn.1001-5337.2025.2.049
Hom-Lie 2代数的构造
The construction of Hom-Lie 2-algebras
摘要
Abstract
How to construct Hom-Lie 2-algebras was studied.First,based on the notion of Hom-Lie 2-algebras,the con-struction of Hom-Lie 2-algebras from Hom-Leibniz algebras was introduced emphatically.On this basis,the construction of Hom-Leibniz algebras from the tensor product of two Hom-Leibniz algebras,Hom-dialgebras,tensor product of Hom-Leibniz algebras and commutative Hom-dialgebras,Hom-associative algebras and Hom-Omni-Lie algebras was given separately so as to achieve the goal of the construction of Hom-Lie 2-algebras.In addition,how to construct Hom-dialgebras from tensor product of two Hom-dialgebras and how to construct Hom-associative algebras from Hom-dendriform algebras were introduced separately in order to obtain Hom-Lie 2-algebras.At last,the construction of Hom-Lie 2-algebras from Rota-Baxter Hom-Lie algebras through Rota-Baxter operator was introduced.关键词
Hom-Lie 2代数/Hom-Leibniz代数/构造Key words
Hom-Lie 2-algebras/Hom-Leibniz algebras/construction分类
数学引用本文复制引用
韩铎,江卫华..Hom-Lie 2代数的构造[J].曲阜师范大学学报（自然科学版）,2025,51(2):49-58,10.基金项目
西藏自治区自然科学基金(XZ202501ZR0116). （XZ202501ZR0116）
