Abstract
In this paper, we study n-representation-finite algebras from the viewpoint of the fractionally Calabi–Yau property. We shall show that all n-representation-finite algebras are twisted fractionally Calabi–Yau. We also show that for any ℓ>0, twisted (n(ℓ−1)/ℓ)-Calabi–Yau algebras of global dimension at most n are n-representation-finite. As an application, we give a construction of n-representation-finite algebras using the tensor product.
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