扩张Schrodinger-Virasoro李代数及其一些子代数研究  

Study of extension Schrodinger-Virasoro Lie algebra and some subalgebras

作　　者：余德民[1] 李笛 柴嘉潞 罗德仁 YU Demin;LI Di;CHAI Jialu;LUO Deren(College of Mathematics, Hunan Institute of Science and Technology, Yueyang 414000, China)

机构地区：[1]湖南理工学院数学学院,湖南岳阳414000

出　　处：《大连理工大学学报》2020年第6期663-666,共4页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(11771135,11901191);湖南理工学院科研创新团队资助项目(2019-TD-15).

摘　　要：研究了无限维李代数Schrodinger-Virasoro的性质,这类李代数是Virasoro李代数的推广.研究了这类李代数同构及其李子代数的一些性质,例如李子代数g-、g0-,且g-■g0-■g.进一步研究了其李子代数g2、g3,证明g3是g的无限维交换理想,从而证明了李代数Schrodinger-Virasoro不是半单李代数,也不是单李代数.The properties of infinite dimensional Lie algebra Schrodinger-Virasoro,which is a generalization of Virasoro Lie algebra are studied.The isomorphism and some properties of its Lie subalgebras are also studied.For example,Lie subalgebras g-,g0-,and g-■g0-■g.Lie subalgebras g2,g3 of g,g3 is proved an infinite dimensional commutative ideal of g,and then it is proved that Lie algebra Schrodinger-Virasoro is not a semi-simple Lie algebra or a simple Lie algebra.

关 键 词：李代数 同构 理想 

分 类 号：O152.5[理学—数学]