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Derived equivalence classification for cluster-tilted algebras of type An

Aslak Bakke Buan, Dagfinn F. Vatne

math.RTarXiv:math/0701612

Abstract

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 number of 3-cycles in the quiver of the algebra.

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