| 预李-Yamaguti着色代数与着色O-算子 |
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| 引用本文： | 腾文,游泰杰.预李-Yamaguti着色代数与着色O-算子[J].山东大学学报(理学版),2023,58(2):6-12. |
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| 作者姓名： | 腾文 游泰杰 |
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| 作者单位： | 1. 贵州财经大学数统学院, 贵州 贵阳 550025;2. 贵州师范大学数学科学学院, 贵州 贵阳 550025 |
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| 基金项目： | 国家自然科学基金资助项目(12161013,11761017);贵州省科技厅基金项目(黔科合基础［2020］1Y005) |
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| 摘 要： | 引入了预李-Yamaguti着色代数的概念，给出了李-Yamaguti着色代数的关于表示空间的着色O-算子，讨论其与预李-Yamaguti着色代数的关系，证明了一个预李-Yamaguti着色代数可以得到一个李-Yamaguti着色代数和一个它自身上的表示。
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| 关 键 词： | 预李-Yamaguti着色代数 李-Yamaguti着色代数 着色O-算子 着色Rota-Baxter算子 |
Pre-Lie-Yamaguti color algebra and color O-operator |
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| TENG Wen,YOU Tai-jie.Pre-Lie-Yamaguti color algebra and color O-operator[J].Journal of Shandong University,2023,58(2):6-12. |
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| Authors: | TENG Wen YOU Tai-jie |
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| Institution: | 1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, Guizhou, China;2. School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, Guizhou, China |
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| Abstract: | The definition of pre-Lie-Yamaguti color algebra is introduced. The color O -operator of Lie-Yamaguti color algebra about representation space is given, and its relationship with pre-Lie-Yamaguti color algebra is discussed. It is proved that a pre-Lie-Yamaguti color algebra can induce a Lie-Yamaguti color algebra and a representation on itself. |
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| Keywords: | Pre-Lie-Yamaguti color algebra Lie-Yamaguti color algebra color O-operator color Rota-Baxter operator |
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