On Some Varieties of Soluble Lie Algebras

On Some Varieties of Soluble Lie Algebras

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摘要 In this paper, we study a class of soluble Lie algebras with variety relations that the commutator of m and n is zero. The aim of the paper is to consider the relationship between the Lie algebra L with the variety relations and the Lie algebra L which satisfies the permutation variety relations for the permutation ψ of {3, ··· , k}. In this paper, we study a class of soluble Lie algebras with variety relations that the commutator of m and n is zero. The aim of the paper is to consider the relationship between the Lie algebra L with the variety relations and the Lie algebra L which satisfies the permutation variety relations for the permutation ψ of {3, ··· , k}.

作者 NAN JI-ZHU WANG CHENG-CHENG LI HAI-LING

机构地区 School of Mathematical Sciences

出处《Communications in Mathematical Research》 CSCD 2012年第1期10-16,共7页 数学研究通讯（英文版）

基金 The NSF (10671028) of China

关键词 VARIETY PERMUTATION nilpotent class variety, permutation, nilpotent class

分类号 O152.5 [理学—基础数学] O633.22 [理学—高分子化学]

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Communications in Mathematical Research

2012年第1期

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On Some Varieties of Soluble Lie Algebras

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