3-李代数的包络B-代数（英文）  

Enveloping B-algebras of 3-Lie Algebras

作　　者：白瑞蒲[1] 安宏伟[2] 郭委委 林丽鑫 

机构地区：[1]河北大学数学与信息科学学院,保定河北071002 [2]石家庄铁道学院四方学院,石家庄河北051132

出　　处：《数学进展》2016年第2期211-220,共10页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11371245);the Natural Science Foundation of Hebei Province(No.2014201006)

摘　　要：定义并构造了3-李代数的包络B-代数,研究了3-李代数的标准包络B-代数的结构,证明了3-李代数是单3-李代数的充分必要条件是其标准的包络B-代数SB(L)_θ是单的.B-algebras and enveloping B-algebras of 3-Lie algebras are introduced, and enveloping B-algebras of 3-Lie algebras are constructed. The structures of standard enveloping B-algebras of 3-Lie algebras are studied, and it is proved that the 3-Lie algebra L is simple if and only if its standard enveloping B-algebra SB（L）θ is simple.

关 键 词：3-李代数 B-代数 对合 包络B-代数 

分 类 号：O152.5[理学—数学]