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$n$-angulated categories from self-injective algebras (1509.06147v1)
Published 21 Sep 2015 in math.RT and math.RA
Abstract: Let $\mathcal{C}$ be a $k$-linear category with split idempotents, and $\Sigma:\mathcal{C}\rightarrow\mathcal{C}$ an automorphism. We show that there is an $n$-angulated structure on $(\mathcal{C},\Sigma)$ under certain conditions. As an application, we obtain a class of examples of $n$-angulated categories from self-injective algebras.
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