| On Compatible Hom-Lie Triple Systems |
| Received:November 06, 2023 Revised:February 18, 2024 |
| Key Words:
compatible Hom-Lie triple system cohomology linear deformations abelian extensions
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| Fund Project: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), and the Doctoral Research Start-Up Fundation of Guiyang University (Grant No.GYU-KY-2024). |
| Author Name | Affiliation | | Wen TENG | School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guizhou 550025, P. R. China | | Fengshan LONG | School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guizhou 550025, P. R. China | | Hui ZHANG | School of Information, Guizhou University of Finance and Economics, Guizhou 550025, P. R. China
Postdoctoral Scientific Research Station, ShijiHengtong Technology Co., Ltd, Guizhou 550014, P. R. of China | | Jiulin JIN | School of Science, Guiyang University, Guizhou 550005, P. R. China |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2024.05.005 |
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