Reynolds operators on Hom-Leibniz algebras

被引：2

作者：

Wang, Dingguo ^{[1
]}

Ke, Yuanyuan ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

[2] Jianghan Univ, Sch Artificial Intelligence, Wuhan 430056, Peoples R China

来源：

FILOMAT | 2023年 / 37卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Hom-Leibniz algebra; Reynolds operator; cohomology; NS-Hom-Leibniz algebra; LIE-ALGEBRAS;

D O I：

10.2298/FIL2307117W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first introduce the notion of Reynolds operators on Hom-Leibniz algebras and give some constructions. Furthermore, we define the cohomology of Reynolds operators, and use this cohomology to study deformations of Reynolds operators. As applications, we introduce and study NS-Hom-Leibniz algebras as the underlying structure of Reynolds operators.

引用

页码：2117 / 2130

页数：14

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