Inner deformations of entwined modules and their simpleness

الملخص EN

The paper is devoted to studying certain families of inner deformations of entwined modules and investigating simple entwined modules.

Our main results can be applied to the study of the inner deformation of all kinds of Hopf modules and the irreducible representations of a wide class of Hopf algebras constructed by smash products.

As an explicit application, we consider the case of quantum Yetter–Drinfel’d modules.