Embedding of the vertices of the Auslander–Reiten quiver of an iterated tilted algebra of Dynkin type Δ in

Let Δ be a Dynkin diagram and k an algebraically closed field. Let A be an iterated tilted finite-dimensional k-algebra of type Δ and denote by  its repetitive algebra. We approach the problem of finding a combinatorial algorithm giving the embedding of the vertices of the Auslander–Reiten quiver ΓA of A in the Auslander–Reiten quiver of the stable category . Let T be a trivial extension of finite representation type and Cartan class Δ. Assume that we know the vertices of corresponding to the radicals of the indecomposable projective T-modules. We determine the embedding of ΓA in for any algebra A such that T(A) T.