由特殊箭图诱导的项链李子代数  

Necklace Lie Subalgebras Induced by Some Special Arrow

作　　者：余德民[1] 卢才辉 YU Demin;LU Caihui(College of Mathematics,Hunan Institute of Science and Technology,Yueyang 414006,Hunan,China;College of Mathematics and Computing Science,Capital Normal University Beijing,100037,China)

机构地区：[1]湖南理工学院数学学院,湖南岳阳414006 [2]首都师范大学数学与计算机科学学院,北京100037

出　　处：《数学年刊（A辑）》2018年第3期331-340,共10页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11771135)的资助

摘　　要：无限维项链李代数是新的一类无限维李代数,本文重点讨论了由特殊箭图诱导的项链李子代数,并证明了其中一些李子代数是半单李代数.In this paper, a new infinite dimensional necklace Lie algebra is studied. Some Lie subalgebras induced by some special arrow are mainly discussed. It is proved that some Lie subalgebras are semi-simple Lie algebra.

关 键 词：项链李代数 半单李代数 子代数 

分 类 号：O152.5[理学—数学]