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Cluster-tilted algebras of finite representation type

Aslak Bakke Buan·Bethany Marsh·Idun Reiten
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Abstract

We investigate the cluster-tilted algebras of finite representation type over an algebraically closed field. We give an explicit description of the relations for the quivers for finite representation type. As a consequence we show that a (basic) cluster-tilted algebra of finite type is uniquely determined by its quiver. Also some necessary conditions on the shapes of quivers of cluster-tilted algebras of finite representation type are obtained along the way.

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BibTeXRIS

Aslak Bakke Buan, Bethany Marsh, Idun Reiten. 2006-02-16. Cluster-tilted algebras of finite representation type. https://arxiv.org/abs/math/0509198

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