Induced Representations of Hopf Algebras
  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 $\pi: H\rightarrow B$. Application on the quantum group $E_{q}(2)$ is given. 
Ibrahim Saleh
math.RT