Jacobi⁃Jordan代数的局部导子  

Local Derivations of Jacobi⁃Jordan Algebra

作　　者：胡玉婷 毛明明 陈良云[1] HU Yuting;MAO Mingming;CHEN Liangyun(School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)

机构地区：[1]东北师范大学数学与统计学院,长春130024

出　　处：《海南热带海洋学院学报》2023年第5期91-101,共11页Journal of Hainan Tropical Ocean University

基　　金：国家自然科学基金项目(11771069,12071405)。

摘　　要：主要研究Jacobi‐Jordan代数导子和局部导子的矩阵表达式;运用线性代数的知识,结合Jacobi-Jordan代数的分类情况,从导子的定义出发,给出了Jacobi-Jordan代数导子的矩阵表达式;再利用导子与局部导子之间的关系,计算得到了27种Jacobi-Jordan代数的局部导子在标准基下的矩阵表达式。The matrix expressions of Jacobi-Jordan algebra derivations and local derivations were centered on.Using the knowledge of linear algebra,combined with the classifications of Jacobi-Jordan algebra,the matrix expressions of Jacobi-Jordan algebra derivations were calculated from the definition of derivations.And then using the relationship between the derivations and the local derivations,the matrix expressions of 27 local derivatives of Jacobi-Jordan algebra in the standard basis were calculated and obtained.

关 键 词：Jacobi-Jordan代数 导子 局部导子 矩阵表达式 

分 类 号：O152.5[理学—数学]