北京大学学报（自然科学版）
王启丽
收稿日期:
出版日期:
发布日期:
WANG Qili
Received:
Online:
Published:
摘要： 定义并完全决定了广义四元数代数的复线性表示。利用这一结果，给出了两个广义四元数代数同构的一个充分必要条件。
关键词: 四元数代数, 复线性表示, 同构
Abstract: Defined the complex linear representation of the generalized quaternion algebras over a field K, where K is a subfield of the complex number field C. We have determind completely these representations. Using this result, we gave a necessary and sufficient condition about the problem of the isomorphism of two generalized quaternion algebras.
Key words: quaternion algebra, complex liner representation, isomorphism
中图分类号:
O151.23
王启丽 . 四元数代数的复线性表示[J]. 北京大学学报（自然科学版）.
WANG Qili. The Complex Linear Representations of the Quaternion Algebras[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.
导出引用管理器 EndNote|Ris|BibTeX
链接本文: https://xbna.pku.edu.cn/CN/
https://xbna.pku.edu.cn/CN/Y1996/V32/I1/28
