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2006-47

Cluster categories and selfinjective algebras: type A

by Holm, Thorsten, Jorgensen, Peter.


Series: 2006-47, Preprints

MSC:
16G10 Representations of Artinian rings
18E30 Derived categories, triangulated categories
05E99 None of the above, but in this section
16D50 Injective modules, self-injective rings
16G60 Representation type (finite, tame, wild, etc.)
16G70 ~Auslander-Reiten sequences (almost split sequences) and ~Auslander-Reiten quivers

Abstract:
We show that the stable module categories of certain
selfinjective algebras of finite representation type
having tree class A_n are actually u-cluster categories.

Keywords:
Cluster categories, Calabi-Yau dimensions, Selfinjective algebras, Finite representation type, Auslander-Reiten quiver, Stable module categories