Stable Calabi--Yau dimension of self-injective algebras of finite type

Abstract

We give an equivalent definition of the stable Calabi--Yau dimension in terms of bimodule syzygies and so-called stably inner automorphisms. Using it, we complete the computation of the stable Calabi--Yau dimensions of the self-injective algebras of finite representation type which was started by K. Erdmann, A. Skowro\'nski, J. Bia and A. Dugas.

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