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Stable Calabi-Yau dimension for finite type selfinjective algebras

Thorsten Holm·Peter Jorgensen
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Abstract

We show that the Calabi-Yau dimension of the stable module category of a selfinjective algebra of finite representation type is determined by the action of the Nakayama and suspension functors on objects. Our arguments are based on recent results of C. Amiot, and hence apply more generally to triangulated categories having only finitely many indecomposable objects.

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BibTeXRIS

Thorsten Holm, Peter Jorgensen. 2008-04-14. Stable Calabi-Yau dimension for finite type selfinjective algebras. https://arxiv.org/abs/math/0703488

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