摘要
无限维项链李代数是新的一类无限维李代数,本文重点讨论了由六个顶点的箭图诱导的项链李子代数,研究了这类李子代数的子代数,同构和同态,这类李代数是Virasoro-like李代数的推广,并讨论了它的其他一些性质.
In this paper,a new infinite dimensional Necklace lie algebra is studied.Lie subalgebras induced by six vertex arrow are mainly discussed.The infinite dimensional lie algebra is popularized of Virasoro-like lie algebra.Subalgebra,isomorphisms and homomorphism of the infinite dimensional lie algebra are studied and the other properties of these Lie algebras are studied.
作者
余德民
梅超群
Yu Demin;Mei Chaoqun(College of Mathematics, Hunnan Institute of Science and Technology, Yueyang 414006, China;School of Statistics, Capital University of Economic and Business, Beijing 100070, China)
出处
《纯粹数学与应用数学》
2018年第1期7-14,共8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课题(XSJ17B16)
湖南省省级教研教改项目(湘教通2016(400))
关键词
项链李代数
理想
子代数
Necklace lie algebra
ideal
subalgebra
