| 腾文.Lie-Yamaguti代数的相对微分算子[J].数学年刊A辑,2024,(1):39~52 |
| Lie-Yamaguti代数的相对微分算子 |
| Relative Differential Operators on Lie-Yamaguti Algebras |
| Received:June 16, 2022 Revised:June 23, 2023 |
| DOI：10.16205/j.cnki.cama.2024.0004 |
| 中文关键词: Lie-Yamaguti代数 相对微分算子 上同调 形变 |
| 英文关键词:Lie-Yamaguti algebras Relative differential operator Cohomology Deformation |
| 基金项目:国家自然科学基金(No.12161013)； 贵州省科技厅基金项目(黔科合基础-ZK[2023]一般025) |
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| 中文摘要: |
| 本文研究Lie-Yamaguti代数的相对微分算子.首先给出Lie-Yamaguti代数上相对微分算子的概念并给出等价刻画.随后,引入Lie-Yamaguti代数上相对微分算子的上同调.最后,讨论Lie-Yamaguti代数上相对微分算子的无穷小形变. |
| 英文摘要: |
| In this paper, the author considers relative differential operators on Lie-Yamagutialgebras. Firstly, the concept of relative differential operators on Lie-Yamaguti algebrasis given and its equivalent characterization is given. Then, the cohomology of relativedifferential operators on Lie-Yamaguti algebras is introduced. Finally, the infinitesimaldeformation of relative differential operators on Lie-Yamaguti algebras is discussed. |
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