4维幂零左对称代数的相邻李代数的triple导子与δ-导子  

Lie Triple Derivations and δ-Derivations of Adjacen Lie Algebrat of 4-dimensional Nilpotent Left Symmetric Algebra

作　　者：巫永萍 WU Yong-ping(School of Mathematics and Information Engineering,Longyan University,Longyan 364000,China)

机构地区：[1]龙岩学院数学与信息工程学院,福建龙岩364000

出　　处：《数学的实践与认识》2023年第10期239-244,共6页Mathematics in Practice and Theory

摘　　要：对4维幂零左对称代数的相邻李代数的triple导子与δ-导子进行了研究.利用triple导子与δ-导子的定义,通过计算线性变换在李代数的一组基上的作用,得到4维幂零左对称代数L_(0)(L_(1))的相邻李代数的triple导子与δ-导子的矩阵形式,并证明L_(0)(L_(1))的相邻李代数的triple导子代数是一个李代数.This paper studies the triple derivations and δ-derivations of adjacent Lie algebra of 4-dimensional nilpotent left symmetric algebra.Using the definition of triple derivation and δ-derivation,we obtained the matrix form of the triple derivations and δ-derivations by calculating the action of linear transformation on a set of bases of adjacent Lie algebra of 4-dimensional nilpotent left symmetric algebra L_(0)(L_(1)),and prove that its triple derivation algebra is a Lie algebra.

关 键 词：幂零左对称代数 相邻李代数 triple导子 δ-导子 

分 类 号：O152.5[理学—数学]