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.
作者
巫永萍
WU Yong-ping(School of Mathematics and Information Engineering,Longyan University,Longyan 364000,China)
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
