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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.
Abstract: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.
Key words:3-Lie algebra; coclass; nilpotency
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