摘要
设H8是非交换且非余交换的8维半单Hopf代数,C[K4]是Klein四元群的群代数,M2(C)是复数域C上二阶方阵组成的全矩阵代数.利用方阵和方阵对的弱相似理论给出同构意义下M2(C)上全部的C[K4]-模代数结构,并在此基础上结合H8与C[K4]的关系,刻画了同构意义下M2(C)上所有的H8-模代数结构.
Let H8 be the non-commutative and non-cocommutative eight-dimensional semi-simple Hopf algebra,C[K4]be the group algebra of Klein four group over C,and M2（C）be the full matrix algebra of 2×2 matrices over C.Based on the weak similarities between matrices and weak similarities between pairs of matrices,all C [K4]-module algebra structures on M2（C）up to isomorphism were given.Then with the aid of the relationship between H8 and C [K4 ],all H8-module algebra structures on M2（C）up to isomorphism were described.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2015年第5期887-892,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11271043
11471186)
关键词
全矩阵代数
弱相似
模代数
full matrix algebra
weak similarities
module algebra
