带有多元算子李代数的线性基底  

Linear basis of Lie algebras with Multiple Operators

作　　者：黄炬委 

机构地区：[1]嘉应学院梅州师范分院,广东梅州514072

出　　处：《嘉应学院学报》2014年第2期5-11,共7页Journal of Jiaying University

摘　　要：主要介绍了Grebner-Shirshov基理论的历史;回顾了自由李代数的合成钻石引进;找到了Lie(X;Ω)的一组线性基底;作为应用,证明了Lie(X;Ω)是带有多元算子的自由李代数.In this thesis, we introduce the history of Grobner - Shirshov bases theory and review the Composition - Diamond lemma of Lie algebras, and use Grobner - Shirshov bases theory of Lie algebra to find a k - linear basis of Lie algebras with Multiple Operators. As applications, we establish the free Lie algebras with Multiple Operators.

关 键 词：Grtiebner—Shirshov基 带有多元算子 自由李代数 Lydon—Shirshov WORD 

分 类 号：O153[理学—数学]