Stable Calabi-Yau dimension for finite type selfinjective algebras
Representation Theory
2008-04-14 v2
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.
Keywords
Cite
@article{arxiv.math/0703488,
title = {Stable Calabi-Yau dimension for finite type selfinjective algebras},
author = {Thorsten Holm and Peter Jorgensen},
journal= {arXiv preprint arXiv:math/0703488},
year = {2008}
}
Comments
The paper has been withdrawn since the results have been incorporated into arXiv:math/0610728v2