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.
出处
《数学进展》
CSCD
北大核心
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)