| 3-李-Rinehart Color代数的上同调与形变 |
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| 引用本文： | 腾文,游泰杰.3-李-Rinehart Color代数的上同调与形变[J].吉林大学学报(理学版),2022,60(1):35-0043. |
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| 作者姓名： | 腾文 游泰杰 |
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| 作者单位： | 1. 贵州师范大学 数学科学学院, 贵阳 550025; 2. 贵州财经大学 数统学院, 贵阳 550025 |
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| 基金项目： | 贵州省科技厅基金一般项目;国家自然科学基金 |
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| 摘 要： | 首先, 通过引入3-李-Rinehart color代数的概念, 利用3-李-Rinehart color代数的表示讨论其上同调； 其次, 给出3-李-Rinehart color代数的1-余循环和2-余循环之间的关系; 最后, 作为应用, 通过上同调理论刻画其形变.
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| 关 键 词： | 3-李-Rinehart color代数 上同调 形变 |
| 收稿时间： | 2021-03-25 |
Cohomology and Deformations of 3-Lie-Rinehart Color Algebras |
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| TENG Wen,YOU Taijie.Cohomology and Deformations of 3-Lie-Rinehart Color Algebras[J].Journal of Jilin University: Sci Ed,2022,60(1):35-0043. |
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| Authors: | TENG Wen YOU Taijie |
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| Institution: | 1. School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, China;
2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China
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| Abstract: | Firstly, by introducing the concept of 3-Lie-Rinehart color algebra and using the representation of 3-Lie-Rinehart color algebras, we
discussed its cohomology. Secondly, we gave relationship between 1-cocycle and 2-cocycle of 3-Lie-Rinehart color algebras. Finally, as an application, we characterized the deformations of 3-Lie-Rinehart color algebras by the cohomology theory. |
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| Keywords: | 3-Lie-Rinehart color algebra cohomology deformation |
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