New examples of separable cowreaths over Clifford algebras

Abstract

This paper continues the research we developed in \cite{MT1} and \cite% {MT2}. The main aim of this paper is to investigate separability conditions for a cowreath $(A\otimes H^{op},H,\psi )$ constructed by using the $8$% -dimensional Clifford algebra $A=Cl(\alpha ,\beta _{1},\beta _{2},\gamma _{1},\gamma _{2},\lambda )$ considered as an $H$-comodulo algebra where $H$ is the $8$-dimensional unimodular ribbon Hopf algebra $E(2)$ introduced by Radford in \cite{R}.