Induced Representations of Hopf Algebras

Abstract

Hopf representation is a module and comodule with a consistency condition that is more general than the consistency condition of Hopf modules. For a Hopf algebra $H$, we construct an induced Hopf representation from a representation of a bialgebra $B$ using a bialgebra epimorphism $\pi :H\to B$. Application on the quantum group $E_q(2)$ is given.