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.
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.
出处
《纯粹数学与应用数学》
CSCD
2014年第4期341-346,共6页
Pure and Applied Mathematics
基金
湖南省教育厅重点项目(12A058)
湖南省重点建设学科建设项目
关键词
理想
自同构
同态
ideal, automorphisms, homomorphisms
