2007/03/16 by Thorsten Holm, Holm, Thorsten, Peter Jorgensen +1
Mathematics · #16D50 #16G10 #16G60 (Secondary) #16G70 #18E30 (Primary) #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16D50 #msc:16G10 #msc:16G60 #msc:16G70 #msc:18E30
paper · pdf · doi:10.48550/arxiv.math/0703488
The paper has been withdrawn since the results have been incorporated into arXiv:math/0610728v2
arxiv created 2008/04/14 · arxiv updated 2009/12/01
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.