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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