余德民,卢才辉.由特殊箭图诱导的项链李子代数[J].数学年刊A辑,2018,39(3):331~340
由特殊箭图诱导的项链李子代数
Necklace Lie Subalgebras Induced by Some Special Arrow
Received: February 13, 2015  
DOI:10.16205/j.cnki.cama.2018.0028
中文关键词:  项链李代数、 半单李代数、 子代数
英文关键词:Necklace Lie algebra, Semi-simple Lie algebra, Subalgebra
基金项目:本文受到国家自然科学基金(No.11771135)的资助.
Author NameAffiliationE-mail
YU Demin College of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, Hunan, China. yudeming864024@126.com 
LU Caihui College of Mathematics and Computing Science, Capital Normal University Beijing, 100037, China. lucaihui@126.com 
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中文摘要:
      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.
英文摘要:
      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.
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