Title of article
Cluster-tilted algebras of finite representation type
Author/Authors
Aslak Bakke Buan، نويسنده , , Robert J. Marsh، نويسنده , , Idun Reiten، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
20
From page
412
To page
431
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.
Keywords
Cluster-tilting , Cluster-tilted algebra , Quiver representation , Tilting , Cluster category
Journal title
Journal of Algebra
Serial Year
2006
Journal title
Journal of Algebra
Record number
697820
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