标题： E(n)在半单Clifford代数上的余作用 显示英文标题

标题： E(n)-coactions on semisimple Clifford algebras

摘要： 在本文中，我们证明有限维代数$A$上的$E(n)$-余作用由包含一个对合$\varphi$和一个满足适当条件的$\varphi$-导子族$(d_i)_{i=1,...,n}$的元组$(\varphi, d_1, ... , d_n)$来分类。 映射元组可以在$A$是半单 Clifford 代数时被适当的元素元组$(c, u_1, . . . , u_n)$替换。 显示英文摘要

摘要： In this article we prove that $E(n)$-coactions over a finite-dimensional algebra $A$ are classified by tuples $(\varphi, d_1, ... , d_n)$ consisting of an involution $\varphi$ and a family $(d_i)_{i=1,...,n}$ of $\varphi$-derivations satisfying appropriate conditions. Tuples of maps can be replaced by tuples of suitable elements $(c, u_1, . . . , u_n)$, whenever $A$ is a semisimple Clifford algebra.