Cohomologies of modified λ-differential Lie triple systems and applications

被引：2
作者：
Teng, Wen [1 ]
Long, Fengshan [1 ]
Zhang, Yu [1 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Lie triple system; modified lambda-differential operator; cohomology; deformation; extension; ALGEBRAS; OPERATORS;
D O I：
10.3934/math.20231280
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concept and representation of modified lambda-differential Lie triple systems. Next, we define the cohomology of modified lambda-differential Lie triple systems with coe fficients in a suitable representation. As applications of the proposed cohomology theory, we study 1-parameter formal deformations and abelian extensions of modified lambda-differential Lie triple systems.
引用
收藏
页码：25079 / 25096
页数：18
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