| 一类推广的Virasoro-like李代数 |
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| 引用本文： | 余德民.一类推广的Virasoro-like李代数[J].纯粹数学与应用数学,2014,30(4):341-346. |
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| 作者姓名： | 余德民 |
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| 作者单位： | 湖南理工学院数学学院,湖南岳阳,414000 |
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| 基金项目： | 湖南省教育厅重点项目，湖南省重点建设学科建设项目 |
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| 摘 要： | 构造了一类无限维李代数,它是Virasoro-like李代数的推广.研究了这类李代数的两类自同构,这两类自同构均关于映射的合成构成自同构群,一类同构于对称群S3,另一类同构于Klein交换群.得到了这类李代数一些特殊的自同态、中心.证明了这类李代数不是半单李代数.
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| 关 键 词： | 理想 自同构 同态 |
A generalized Virasoro-like Lie algebra |
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| Yu Demin.A generalized Virasoro-like Lie algebra[J].Pure and Applied Mathematics,2014,30(4):341-346. |
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| Authors: | Yu Demin |
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| Institution: | Yu Demin (Departnmnt of Mathematics, Hunan Institute of Science and Technology, Yueyang 414000, China) |
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| Abstract: | In this paper an infinite dimensional Lie algebra is constructed and the infinite dimensional Lie algebra is popularized Virasoro-like Lie algebra. Two classes of automorphisms are studied. They are automorphism groups with the compostition of mapping. One is isomorphic to symmetry group S3. The other is isomorphic to Abelian group Klein. We get the center and some special homomorphisms of the infinite dimensional Lie algebra. We prove that it is not semi-simple Lie algebra. |
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| Keywords: | ideal automorphisms homomorphisms |
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