The representation dimension of a selfinjective algebra of Euclidean type. (English) Zbl 1378.16023
Summary: We prove that the representation dimension of a selfinjective algebra of euclidean type is equal to three, and give an explicit construction of the Auslander generator of its module category.
MSC:
| 16G10 | Representations of associative Artinian rings |
| 16G60 | Representation type (finite, tame, wild, etc.) of associative algebras |
| 16G70 | Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers |
Keywords:
representation dimension; selfinjective algebras; tilted algebras; Euclidean type; tame algebrasReferences:
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