Generalized Reynolds Operators on Hom-Lie Triple Systems

被引：0
|
作者：
Xiao, Yunpeng [1 ]
Teng, Wen [2 ]
Long, Fengshan [2 ]
机构：
[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550025, Peoples R China
[2] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China
来源：
SYMMETRY-BASEL | 2024年 / 16卷 / 03期
关键词：
Hom-Lie triple system; generalized Reynolds operator; cohomology; deformation; Hom-NS-Lie triple system; DEFORMATIONS; ALGEBRAS;
D O I：
10.3390/sym16030262
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we first introduce the notion of generalized Reynolds operators on Hom-Lie triple systems associated to a representation and a 3-cocycle. Then, we develop a cohomology of generalized Reynolds operators on Hom-Lie triple systems. As applications, we use the first cohomology group to classify linear deformations and we study the obstruction class of an extendable order n deformation. Finally, we introduce and investigate Hom-NS-Lie triple system as the underlying structure of generalized Reynolds operators on Hom-Lie triple systems.
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页数：16
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