Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type A0|0

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 A(0 \0). (C) 2001 Academic Press.