扩张李代数Schrödinger-Virasoro子代数生成元和一些李子代数幂零性  

Generators of subalgebras of extended Lie algebra Schrödinger-Virasoro and nilpotency of some Lie subalgebras

作　　者：余德民[1] 柴嘉潞 李笛 罗德仁 吴伟才 蒋婵 YU Demin;CHAI Jialu;LI Di;LUO Deren;WU Weicai;JIANG Chan(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》2021年第6期656-660,共5页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(11901191);湖南省自然科学基金资助项目(2020JJ5210);湖南理工学院科研创新团队资助项目(2019-TD-15);2021年湖南省研究生科研创新项目(YCX2021A27).

摘　　要：研究了扩张无限维李代数Schrödinger-Virasoro子代数的生成元.证明了李子代数h2与商李代数h5/h2都无有限生成元,李代数Schrödinger-Virasoro有有限生成元且生成元可为5.最后证明了李子代数h5为幂零子代数.The generators of subalgebras of the extended infinite dimensional Lie algebra Schrödinger-Virasoro are studied.It is proved that neither the Lie subalgebra h2 nor the quotient Lie algebra h5/h2 has finite generators.The Lie algebra Schrödinger-Virasoro has finite generators and the generators can be 5.Finally,it is proved that the Lie subalgebra h5 is a nilpotent subalgebra.

关 键 词：李代数 同构 子代数 

分 类 号：O152.5[理学—数学]