王颖,杜风丽
Wang Ying,Du Fengli

• 1:大连理工大学数学科学学院

摘要(Abstract)：

鉴于幂零李代数的结构在李理论研究中有着重要的地位,主要研究一类特殊的幂零李代数——p-filiform李代数的代数结构.将p-filiform李代数的Hom-结构和保积Hom-结构表示为矩阵,通过计算,具体刻画了(n-3)-filiform李代数(n5)的Hom-结构和保积Hom-结构.
Since the structures of nilpotent Lie algebras play an important role in the theory of Lie algebras,we mainly consider the algebraic structures of p-filiform Lie algebras in this paper.And we characterize the Hom-structures and the multiplicative Hom-structures of(n-3)-filiform Lie algebras(n≥5)in terms of matrices.

关键词(KeyWords)： p-filiform李代数;Hom-结构;保积Hom-结构
p-filiform Lie algebras;Hom-structures;multiplicative Hom-structures

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11471090)

作者(Author): 王颖,杜风丽
Wang Ying,Du Fengli

DOI: 10.16366/j.cnki.1000-2367.2018.03.001

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