Hopf Algebras with the Dual Chevalley Property of Finite Corepresentation Type.

Let H be a finite-dimensional Hopf algebra over an algebraically closed field k with the dual Chevalley property. We prove that H is of finite corepresentation type if and only if it is coNakayama, if and only if the link quiver Q (H) of H is a disjoint union of basic cycles, if and only if the link-indecomposable component H (1) containing k 1 is a pointed Hopf algebra and the link quiver of H (1) is a basic cycle. [ABSTRACT FROM AUTHOR]