D. Vatne

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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.RT2007

Derived equivalence classification for cluster-tilted algebras of type $A_{n}$

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…

Endomorphism rings of maximal rigid objects in cluster tubes

Derived equivalence classification for cluster-tilted algebras of type An​

Derived equivalence classification for cluster-tilted algebras of type $A_{n}$