%0 Journal Article
%T 3阶全矩阵代数的H8-模代数结构<br>The H8-Module Algebra Structures on M3(\C)
%A 高凤霞
%A 杨士林
%J 数学年刊（A辑）
%D 2017
%R 10.16205/j.cnki.cama.2017.0017
%X 设$H_8$是非交换非余交换的8维半单Hopf代数, $\C[\K_4]$ 是克莱因四元群的群代数, $M_{3}(\C)$ 是复数域上的3阶全矩阵代数. 通过方阵和方阵对的弱相似给出了同构意义下 $M_{3}(\C)$上全部的$\C[\K_4]${-}模代数结构. 在此基础上结合 $H_8$与 $\C[\K_4]$ 的关系, 刻划了同构意义下$M_{3}(\C)$ 上所有的$H_8${-}模代数结构.<br>Let $H_8$ be the unique non-commutative and non-cocommutative 8-dimensional semi-simple Hopf algebra, $\C[\K_4]$ be the group algebra of Klein-4 group. By the definitions of weak similarity and square root of the matrix, the authors describe and classify all $\C[\K_4]$-module algebra structures on $M_{3}(\C)$. Then combining the relation between $H_8$ and $\C[\K_4]$, the authors give all $H_8$-module algebra structures on $M_{3}(\C)$ up to isomorphism.
%K Full matrix algebra
%K Weak similarity
%K Module algebra&lt
%K br&gt
%K Full matrix algebra
%K Weak similarity
%K Module algebra
%U http://www.camath.fudan.edu.cn/camacn/ch/reader/view_abstract.aspx?file_no=38A207&flag=1