| 扭Heisenberg-Virasoro代数上Hom-李代数结构 |
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| 引用本文： | 乐露娜,童文静,刘 东.扭Heisenberg-Virasoro代数上Hom-李代数结构[J].数学年刊A辑(中文版),2020,41(3):299-308. |
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| 作者姓名： | 乐露娜 童文静 刘 东 |
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| 作者单位： | 湖州师范学院理学院, 浙江 湖州 313000. |
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| 基金项目： | 国家自然科学基金 (No.,11971315, No.,11871249) |
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| 摘 要： | Hom-李代数是一类满足反对称和Hom-Jacobi等式的非结合代数.扭Heisenberg-Virasoro代数是次数不超过1的微分算子代数的中心扩张,它是一类重要的无限维李代数,与一些曲线的模空间有关.文章主要研究扭Heisenberg-Virasoro代数上Hom-李代数结构,确定了扭Heisenberg-Virasoro代数上存在非平凡的Hom-李代数结构.
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| 关 键 词： | 扭Heisenberg-Virasoro代数 Hom-李代数 自同态 |
| 收稿时间： | 2018/9/25 0:00:00 |
| 修稿时间： | 2020/5/11 0:00:00 |
Hom-Lie Algebra Structures on the Twisted Heisenberg-Virasoro Algebra |
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| LE Lun,TONG Wenjing,LIU Dong.Hom-Lie Algebra Structures on the Twisted Heisenberg-Virasoro Algebra[J].Chinese Annals of Mathematics,2020,41(3):299-308. |
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| Authors: | LE Lun TONG Wenjing LIU Dong |
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| Institution: | School of Science, Huzhou University, Huzhou 313000, Zhejiang, China.; Corresponding author. School of Science, Huzhou University, Huzhou 313000,Zhejiang, China. |
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| Abstract: | Hom-Lie algebra is an anticommutative algebra with a multiplication such that the Hom-Jacobi identity holds. The twisted Heisenberg-Virasoro algebra L is the universal central extension of the Lie algebra W of differential operators of order at most one, which is connected with certain moduli spaces of curves. This paper mainly determines all Hom-Lie algebra structures on the twisted Heisenberg-Virasoro algebra L and gets some nontrivial Hom-Lie algebra structures on L. |
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| Keywords: | Twisted Heisenberg-Virasoro algebra Hom-Lie algebra Endomorphism |
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