Cluster categories and selfinjective algebras: type D

by Holm, Thorsten; Jorgensen, Peter


Preprint series: 06-60, Preprints

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 D_n are actually u-cluster categories.

Keywords: Cluster categories, Stable module categories, Selfinjective algebras, Finite representation type, Calabi-Yau dimension

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