半张量积在线性映射中的应用  

Application of semi-tensor product in linear mapping

作　　者：李东方 刘会彩 张锦[2] LI Dongfang;LIU Huicai;ZHANG Jin(Department of Public Education,Xuchang Electrical Vocational College,Xuchang 461000,China;School of Mathematics Science,Liaocheng University,Liaocheng 252059,China)

机构地区：[1]许昌电气职业学院公共教学部,许昌461000 [2]聊城大学数学科学学院,聊城252059

出　　处：《南昌大学学报（理科版）》2021年第4期336-339,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11801249)。

摘　　要：以矩阵左半张量积为工具,研究了几种不同类型的线性映射的矩阵展开表示。作为特殊情况,给出了Lyapunov映射、辛映射、伴随映射、共轭映射的相关表示。最后给出了这种矩阵形式在李代数中的应用。Using the left semi-tensor product of matrices as a tool,the matrix expansion representations of several different types of linear mappings are studied.As a special case,the related representations of Lyapunov mapping,symplectic mapping,adjoint mapping and conjugate mapping are given.Finally,the application of this matrix form in Lie algebra is given.

关 键 词：左半张量积 换位矩阵 线性映射 矩阵表示 李代数 

分 类 号：O151.21[理学—数学]