Derived equivalence classification for cluster-tilted algebras of type $A_n$
Representation Theory
2007-11-08 v2
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.
Cite
@article{arxiv.math/0701612,
title = {Derived equivalence classification for cluster-tilted algebras of type $A_n$},
author = {Aslak Bakke Buan and Dagfinn F. Vatne},
journal= {arXiv preprint arXiv:math/0701612},
year = {2007}
}
Comments
13 pages. New version under a new name. References have been added, and some proofs have been written out in more detail