关于四元数代数同构的条件  

A Condition about Isomorphism of the Quaternion Algebras

作　　者：陈福元[1] 

机构地区：[1]福建省龙岩师范高等专科学校,龙岩364000

出　　处：《数学的实践与认识》2000年第2期222-225,共4页Mathematics in Practice and Theory

摘　　要：引入广义四元数代数的 K上表示矩阵的概念 ,探讨复线性表示与 K上表示矩阵的关系 .在此基础上 。Defined the representing matrix of the generalized quaternion algebras over a field K, where K is a subfield of the complex number field C. Discussed the relation between complex linear representation and representing matrix over a field K. On the bases, we gave a new critical condition about the problem of the isomorphism of two generalized quaternion algebras.

关 键 词：四元数代数 复线性表示 同构 矩阵 

分 类 号：O151[理学—数学]