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arxiv: 1607.00305 · v1 · pith:2LPJDWDGnew · submitted 2016-07-01 · 🧮 math.RT

The Representation Dimension of a Selfinjective Algebra of Wild Tilted Type

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keywords algebradimensionrepresentationselfinjectiveequalthreetiltedtype
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We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjective algebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.

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