Derived equivalence classification for cluster-tilted algebras of type $A_n$

Mathematics – Representation Theory

Scientific paper

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13 pages. New version under a new name. References have been added, and some proofs have been written out in more detail

Scientific paper

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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