Title: Splitting Comodules over Hopf Algebras and Application to Representation Theory of Quantum Groups of Type A0|0
Abstract: In this work we study some properties of comodules over Hopf algebras possessing integrals (co-Frobenius Hopf algebras). In particular we give a necessary and sufficient condition for a simple comodule to be injective. We apply the result obtained to the classification of representations of quantum groups of type A0|0.