Abstract
We give a combinatorial description of a family of indecomposable objects in the triangulated category of perfect complexes \(\mathcal {K}^{b}(\mathcal {P}_{\Lambda })\), where Λ is a certain algebra of dihedral type (as introduced by K. Erdmann) with three simple modules. We then discuss the shape of the corresponding components of the Auslander-Reiten quiver of \(\mathcal {K}^{b}(\mathcal {P}_{\Lambda })\) containing these objects.
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