Aslak Bakke Buan, Robert J. Marsh, Idun Reiten
Published 2005-09-08, updated 2006-02-16Version 2
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.
Comments: Second version with considerably simplified proof of main result. 17 pages
From tilted to cluster-tilted algebras of Dynkin type
On the Galois coverings of a cluster-tilted algebra
Cluster-tilted algebras of type $D_n$
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