二阶全矩阵代数的二面体群模代数结构
The module algebra structures of dihedral groups on the full matrix algebra of 2×2
苏冬1
作者信息
- 1. 河南科技大学数学与统计学院,河南洛阳 471023
- 折叠
摘要
利用矩阵弱相似及矩阵对弱相似的相关理论,在复数域φ上,研究二阶全矩阵代数M2(φ)上m阶循环群Cm的模代数结构,并且在同构意义下刻画M2(φ)上所有的2m阶二面体群D2m-模代数结构.
Abstract
By using the theories of weak similarity of matrices and weak similarity of matrix pairs,the module algebra structures of cyclic groups of Cm are researched over the full matrix algebra of 2×2 on the complex field φ,and all module algebra structures of dihedral groups D2m are characterized over the full matrix algebra of 2×2 up to isomorphism.
关键词
全矩阵代数/二面体群/弱相似/模代数Key words
full matrix algebra/dihedral group/weak similarity/module algebra引用本文复制引用
基金项目
国家自然科学基金资助项目(12201187)
河南省自然科学基金资助项目(222300420156)
出版年
2024
NETL
NSTL
万方数据