Realising higher cluster categories of Dynkin type as stable module categories (2013)

Author(s): Holm T, Jorgensen P

    Abstract: 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.

      • Legacy Date: 01/06/2013
      • Journal: Quarterly Journal of Mathematics
      • Volume: 64
      • Issue: 2
      • Pages: 409-435
      • Publisher: Oxford University Press
      • Publication type: Article
      • Bibliographic status: Published

      Professor Peter Jorgensen
      Professor of Mathematics