Realising Higher Cluster Categories of Dynkin Type as Stable Module Categories
نویسندگان
چکیده
We show that the stable module categories of certain selfinjective algebras of finite representation type having tree class An, Dn, E6, E7 or E8 are triangulated equivalent to ucluster 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.
منابع مشابه
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We show how certain u-cluster categories of Dynkin types D and E can be realised as stable module categories of selfinjective algebras. Together with our earlier paper on type A, this completes the classification of those u-cluster categories of Dynkin type which can be realised as stable module categories. We also complete here with types D and E the explicit calculation of the stable Calabi-Y...
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