17 citations · 22 across the 4 of their papers we have counts for
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math.RT2009★ 3 cited
Endomorphism rings of maximal rigid objects in cluster tubes
Dagfinn F. Vatne
We describe the endomorphism rings of maximal rigid objects in the cluster categories of tubes. Moreover, we show that they are gentle and have Gorenstein dimension 1. We analyse t…
math.RT2008★ 2 cited
Cluster structures from 2-Calabi-Yau categories with loops
Aslak Bakke Buan, Bethany Marsh, Dagfinn F. Vatne
We generalise the notion of cluster structures from the work of Buan-Iyama-Reiten-Scott to include situations where the endomorphism rings of the clusters may have loops. We show t…
math.RT2007
Derived equivalence classification for cluster-tilted algebras of type
Aslak Bakke Buan, Dagfinn F. Vatne
In this paper we give the derived equivalence classification of cluster-tilted algebras of type An. We show that the bounded derived category of such an algebra depends only on the…