二阶全矩阵代数的H_8-模代数结构  

H_8-Module Algebra Structures on M2(C)

作　　者：高凤霞[1] 高雪琴[1] 杨士林[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《吉林大学学报（理学版）》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)

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.

关 键 词：全矩阵代数 弱相似 模代数 

分 类 号：O153.3[理学—数学]