A geometric interpretation of the triangulated structure of m-cluster categories
Representation Theory
2011-07-07 v1
Abstract
The aim of this note is to answer several open problems arising from the geometric description of the -cluster categories of type and their realization in terms of the -th power of a translation quiver. In particular, we give a geometric interpretation of the triangulated structure of -cluster categories. Furthermore, we characterize all the connected components arising from a cluster category when taking the -th power of its Auslander-Reiten quiver.
Keywords
Cite
@article{arxiv.1107.1041,
title = {A geometric interpretation of the triangulated structure of m-cluster categories},
author = {Lisa Lamberti},
journal= {arXiv preprint arXiv:1107.1041},
year = {2011}
}