On Compatible Hom-Lie Triple Systems

作     者：Wen TENG Fengshan LONG Hui ZHANG Jiulin JIN 

作者机构：School of Mathematics and StatisticsGuizhou University of Finance and Economics School of InformationGuizhou University of Finance and Economics Postdoctoral Scientific Research StationShiji Hengtong Technology Co.Ltd School of ScienceGuiyang University 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2024年第5期

页      面：633-647页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Scientifc Research Foundation for Advanced Talents of GUFE (Grant No. 2022YJ007) the Innovation Exploration and Academic Talent Project of GUFE (Grant No. 2022XSXMB11) the Science and Technology Program of Guizhou Province (Grant Nos. QKHZC372 QKHJC-QN081) the Research Foundation for Science&Technology Innovation Team of Guizhou Province (Grant Nos. QJJ063 QJJ190) the Doctoral Research Start-Up Fundation of Guiyang University (Grant No. GYU-KY-2024) 

摘      要：In this paper, we consider compatible Hom-Lie triple systems. More precisely, compatible Hom-Lie triple systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-Lie triple systems. As applications of cohomology, we study linear deformations and abelian extensions of compatible Hom-Lie triple systems.