The cluster complex of an hereditary artin algebra
Representation Theory
2008-12-09 v1
Abstract
We show that the cluster complex of an arbitrary hereditary artin algebra has the structure of an abstract simplicial polytope. In particular, the cluster-tilting objects form one equivalence class under mutation.
Keywords
Cite
@article{arxiv.0812.1475,
title = {The cluster complex of an hereditary artin algebra},
author = {Andrew Hubery},
journal= {arXiv preprint arXiv:0812.1475},
year = {2008}
}