06-47

Cluster categories and selfinjective algebras: type A

by Holm, Thorsten; Jorgensen, Peter

 

Preprint series: 06-47, 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, See also {16L60, 18G05}
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


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