幂零3-Lie代数的性质  

Property of Nilpotent 3-Lie Algebras

作　　者：白瑞蒲[1] 刘正君[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2010年第2期113-115,共3页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871192);河北省自然科学基金资助项目(A2007000138)

摘　　要：研究了3-Lie代数的上中心列的一些性质.给出了幂零3-李代数的理想的维数及幂零3-李代数的类数与上中心列的关系.证明了幂零3-李代数A的极大子代数M的上中心列的每一项等于A的上中心列的对应项与M的交.The properties of upcenter series of 3-Lie algebras were studied.The relations between the class of nilpotent 3-Lie algebras and the dimensions of ideals with the upcenter series were privied.It is proved that the upcenter series are privied.It is proved that the upcenter series of every maximal subalgebra is completely determined by that of the nilpotent 3-Lie algebras.

关 键 词：3-Lie代数 余类数 幂零性 

分 类 号：O152.5[理学—数学]