吉林大学学报（理学版）2025，Vol.63Issue(2)：353-359,7.DOI:10.13413/j.cnki.jdxblxb.2024172
Hom-李代数的广义Reynolds算子和Hom-NS-李代数
Generalized Reynolds Operators on Hom-Lie Algebras and Hom-NS-Lie Algebras
摘要
Abstract
Firstly,by providing a Hom-Lie algebra and its representation,we proved that a strong quasi-trace function on a Hom-Lie algebra could induce a 3-Hom-Lie algebra and its representation,thereby proving that a generalized Reynolds operator on a Hom-Lie algebra was also a generalized Reynolds operator on the induced 3-Hom-Lie algebra.Secondly,we studied the mutual derivation properties of Hom-NS-Lie algebras and generalized Reynolds operators,and gave the adjoint relation of the corresponding categories.关键词
Hom-李代数/广义Reynolds算子/3-H om-李代数/Hom-NS-李代数Key words
Hom-Lie algebra/generalized Reynolds operator/3-Hom-Lie algebra/Hom-NS-Lie algebra分类
数学引用本文复制引用
徐森荣,汪为,赵嘉..Hom-李代数的广义Reynolds算子和Hom-NS-李代数[J].吉林大学学报（理学版）,2025,63(2):353-359,7.基金项目
国家自然科学基金(批准号:12201253)和江苏省自然科学基金(批准号:BK20220510). （批准号:12201253）
