$n$-angulated categories from self-injective algebras

Abstract

Let $\mathcal{C}$ be a $k$-linear category with split idempotents, and $Σ:\mathcal{C}\rightarrow\mathcal{C}$ an automorphism. We show that there is an $n$-angulated structure on $(\mathcal{C},Σ)$ under certain conditions. As an application, we obtain a class of examples of $n$-angulated categories from self-injective algebras.

11 pages