COHOMOLOGY AND DEFORMATIONS OF GENERALIZED REYNOLDS OPERATORS ON LEIBNIZ ALGEBRAS

被引：0
|
作者：
Guo, Shuangjian [1 ]
Das, Apurba [2 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang, Peoples R China
[2] Indian Inst Technol, Dept Math, Kharagpur, India
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2024年 / 54卷 / 01期
关键词：
generalized Reynolds operator; cohomology; formal deformation; NS-Leibniz algebra; LIE;
D O I：
10.1216/rmj.2024.54.161
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce generalized Reynolds operators on Leibniz algebras as a generalization of twisted Poisson structures. We define the cohomology of a generalized Reynolds operator K as the Loday-Pirashvili cohomology of a certain Leibniz algebra induced by K with coefficients in a suitable representation. Then we consider formal deformations of generalized Reynolds operators from cohomological points of view. Finally, we introduce and study NS-Leibniz algebras as the underlying structure of generalized Reynolds operators.
引用
收藏
页码：161 / 178
页数：18
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