Mathematics – Representation Theory
Scientific paper
2005-09-08
Mathematics
Representation Theory
Second version with considerably simplified proof of main result. 17 pages
Scientific paper
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.
Buan Aslak Bakke
Marsh Robert J.
Reiten Idun
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