Realising higher cluster categories of Dynkin type as stable module categories

Details Realising higher cluster categories of Dynkin type as stable module categories Realising higher cluster categories of Dynkin type as stable module categories

2011-10-02

arxiv.org/abs/1110.0171v1

Mathematics

Representation Theory

26 pages. This paper supersedes withdrawn preprints math.RT/0610728 and math.RT/0612451 which based the computation of Calabi-

Scientific paper

We show that the stable module categories of certain selfinjective algebras of finite representation type having tree class A_n, D_n, E_6, E_7 or E_8 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.

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