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| 形变微分算子代数的Poisson代数结构 | |
| 引用本文： | 高寿兰,吴祺伟,郑姝敏.形变微分算子代数的Poisson代数结构[J].兰州理工大学学报,2020,46(5):149. |
| 作者姓名： | 高寿兰 吴祺伟 郑姝敏 |
| 作者单位： | 1.湖州师范学院 理学院, 浙江 湖州 313000; 2.上海大学 数学系, 上海 200444 |
| 基金项目： | 国家自然科学基金(11871249,11971315) |
| 摘 要： | Poisson代数是指同时具有代数结构和李代数结构的一类代数,其代数结构和李代数结构满足Leibniz法则.利用Z-分次, 通过Leibniz法则确定了形变微分算子代数L~的Poisson代数结构,说明了L~没有非平凡的结果Posson代数结构. |
| 关 键 词： | 形变微分算子代数 Poisson代数 Leibniz法则 |
| 收稿时间： | 2019-09-11 |
The Poisson algebra structure of the deformed Lie algebra of differential operators |
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| GAO Shou-lan,WU Qi-wei,ZHENG Shu-min.The Poisson algebra structure of the deformed Lie algebra of differential operators[J].Journal of Lanzhou University of Technology,2020,46(5):149. | |
| Authors: | GAO Shou-lan WU Qi-wei ZHENG Shu-min |
| Institution: | 1. School of Science, Huzhou University, Huzhou 313000, China; 2. Department of Mathematics, Shanghai University, Shanghai 200444, China |
| Abstract: | Poisson algebras are thealgebras having both an algebra structure and a Lie algebra structuretogether with the Leibniz law. By using the Z-gradingthe Poisson algebra structure on the deformed Lie algebra of differential operators L~ is determined, through the Leibniz law, which shows the associative Poisson algebra structure on L~ is trivial. |
| Keywords: | deformed Lie algebra of differential operators Poisson algebra Leibniz law |
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