摘要
研究了带双参数的a,b的无限维W(a,b)型李代数,这类李代数是Virasoro李代数的推广.本文研究了这类李代数的两类子代数,一类子代数同构无中心的Virasoro李代数,另一类子代数是交换李子代数,并且是理想.研究了这类李代数同构和同态,证明了g不是单李代数.
In this paper,In_nite dimensional Lie algebra W(a;b)with two parameter a;b is constructed and the in_nite dimensional lie algebra is a generalization of Virasoro-like Lie algebra.Two Subalgebra are studied.One is isomorphic to Virasoro Lie algebra with no central.The other is abelian and the other is ideal.Isomorphisms and homomorphism of the in_nite dimensional Lie algebra are studied.We prove that it is not a simple Lie algebra.
作者
余德民
方春华
王春辉
Yu Deming;Fang Chunhua;Wang Chunhui(College of Mathematics, Hunnan Institute of Science and Technology, Yueyang 414000, China;Thirteen Middle School in Yueyang, Yueyang 414000, China)
出处
《纯粹数学与应用数学》
2017年第5期462-465,共4页
Pure and Applied Mathematics
基金
国家自然科学基金(11771135)
湖南省社科基金教育学专项课题(XSJ17B16)
湖南省省级教研教改项目(缃教通(2016)400)
关键词
李代数
同构
同态
Lie algebra
isomorphisms
homomorphisms
