Stable Calabi-Yau dimension for finite type selfinjective algebras

Details Stable Calabi-Yau dimension for finite type selfinjective algebras Stable Calabi-Yau dimension for finite type selfinjective algebras

2007-03-16

arxiv.org/abs/math/0703488v2

Mathematics

Representation Theory

The paper has been withdrawn since the results have been incorporated into arXiv:math/0610728v2

Scientific paper

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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