| 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,2020,41(3):299~308 |
| 扭Heisenberg-Virasoro代数上Hom-李代数结构 |
| Hom-Lie Algebra Structures on the Twisted Heisenberg-Virasoro Algebra |
| Received:September 25, 2018 Revised:May 11, 2020 |
| DOI：10.16205/j.cnki.cama.2020.0021 |
| 中文关键词: 扭Heisenberg-Virasoro代数, Hom-李代数, 自同态 |
| 英文关键词:Twisted Heisenberg-Virasoro algebra, Hom-Lie algebra, Endomorphism |
| 基金项目:国家自然科学基金 (No.,11971315, No.,11871249) |
| Author Name | Affiliation | | LE Luna | School of Science, Huzhou University, Huzhou 313000, Zhejiang, China. | | TONG Wenjing | School of Science, Huzhou University, Huzhou 313000, Zhejiang, China. | | LIU Dong | Corresponding author. School of Science, Huzhou University, Huzhou 313000,Zhejiang, China. |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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