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We show that the stable module categories of certain self-injective algebras of finite representation type having tree class An, Dn, E6, E7 or E8 are triangulated equivalent to u-cluster categories of the corresponding Dynkin type. The proof relies on the ‘Morita’ theorem for u-cluster categories by Keller and Reiten, along with the recent computation of Calabi–Yau dimensions of stable module categories by Dugas.
Author(s): Holm T, Jorgensen P
Publication type: Article
Publication status: Published
Journal: Quarterly Journal of Mathematics
Year: 2013
Volume: 64
Issue: 2
Pages: 409-435
Print publication date: 01/06/2013
Online publication date: 03/05/2012
ISSN (print): 0033-5606
ISSN (electronic): 1464-3847
Publisher: Oxford University Press
URL: http://dx.doi.org/10.1093/qmath/has013
DOI: 10.1093/qmath/has013
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