On the Auslander-Reiten quiver of an infinitesimal group

Let G be an infinitesimal group scheme, defined over an algebraically close d field of characteristic p. We employ rank Varieties of G-modules to study the stable Auslander-Reiten quiver of the distribution algebra of G. As in case of finite groups, the tree classes of the AR-components are finite or infinite Dynkin diagrams, or Euclidean diagrams. We classify the component s of finite and Euclidean type in case G is supersolvable or a Frobenius ke rnel of a smooth, reductive group.