E(n)-coactions on semisimple Clifford algebras

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