On Compatible Hom-Lie Triple Systems  

作　　者：Wen TENG Fengshan LONG Hui ZHANG Jiulin JIN 

机构地区：[1]School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China [2]School of Information,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China [3]Postdoctoral Scientific Research Station,ShijiHengtong Technology Co.,Ltd,Guizhou 550014,P.R.of China [4]School of Science,Guiyang University,Guizhou 550005,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第5期633-647,共15页数学研究及应用（英文版）

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.QKHZC[2023]372;QKHJC-[2024]QN081);the Research Foundation for Science&Technology Innovation Team of Guizhou Province(Grant Nos.QJJ[2023]063;QJJ[2024]190);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.

关 键 词：compatible Hom-Lie triple system COHOMOLOGY linear deformations abelian exten-sions 

分 类 号：O152.5[理学—数学]