Derived equivalence classification of m-cluster tilted algebras of type A
Representation Theory
2008-07-25 v1
Abstract
We use the maximal faces of the -cluster complex of type A to describe the m-cluster tilted algebras of type A as quivers with relations. We then classify connected components of m-cluster tilted algebras of type A up to derived equivalence using tilting complexes directly related to the combinatorics of the m-cluster complex of type A. This generalizes a result of Buan and Vatne.
Keywords
Cite
@article{arxiv.0807.3840,
title = {Derived equivalence classification of m-cluster tilted algebras of type A},
author = {Graham J. Murphy},
journal= {arXiv preprint arXiv:0807.3840},
year = {2008}
}