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Cluster-tilted algebras of finite representation type

Research paper by Aslak Bakke Buan, Robert J. Marsh, Idun Reiten

Indexed on: 16 Feb '06Published on: 16 Feb '06Published in: Mathematics - Representation Theory



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.