带双参数的a,b无限维李代数W(a,b)的性质  

Property of an new infinite dimensional W(a,b)Lie algebra with parameter a,b

作　　者：余德民[1] 方春华[1] 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)

机构地区：[1]湖南理工学院数学学院,湖南岳阳414000 [2]岳阳市第十三中学,湖南岳阳414000

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)

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.

关 键 词：李代数 同构 同态 

分 类 号：O152.5[理学—数学]