On periodic stable Auslander–Reiten components containing Heller lattices over the symmetric Kronecker algebra

Let O be a complete discrete valuation ring, K its quotient field, and A the symmetric Kronecker algebra over O. We consider full subcategory of category A-lattices whose objects are M such that M⊗OK is projective A⊗OK-modules. In this paper, we study Heller lattices indecomposable periodic modules A. As main result, determine shapes stable Auslander–Reiten components containing