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 NameAffiliation
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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