Cluster-tilted algebras and slices
Representation Theory
2011-11-10 v2 Rings and Algebras
Abstract
We give a criterion allowing to verify whether or not two tilted algebras have the same relation-extension (thus correspond to the same cluster-tilted algebra). This criterion is in terms of a combinatorial configuration in the Auslander-Reiten quiver of the cluster-tilted algebra, which we call local slice.
Cite
@article{arxiv.0707.0038,
title = {Cluster-tilted algebras and slices},
author = {Ibrahim Assem and Thomas Bruestle and Ralf Schiffler},
journal= {arXiv preprint arXiv:0707.0038},
year = {2011}
}