Hopf Algebras with the Dual Chevalley Property of Finite Corepresentation Type

Let H be a finite-dimensional Hopf algebra over an algebraically closed field \(\Bbbk \) $\mathbb{k}$ 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 \(\textrm{Q}(H)\) $\text{Q}(H)$ of H is a disjoint union of basic cycles, if and only if the link-indecomposable component \(H_{(1)}\) $H_{(1)}$ containing \(\Bbbk 1\) $\mathbb{k}1$ is a pointed Hopf algebra and the link quiver of \(H_{(1)}\) $H_{(1)}$ is a basic cycle.