A Caldero-Chapoton formula for generalized Cluster Categories
Representation Theory
2014-01-10 v3
Abstract
The Caldero-Chapoton formula relates for hereditary algebras of Dynkin type the cluster characters of the end terms of an Auslander-Reiten sequence with the cluster character of the middle term. We extend this result to generalized cluster categories with cluster tilting object by considering Auslander-Reiten triangles.
Keywords
Cite
@article{arxiv.1209.2081,
title = {A Caldero-Chapoton formula for generalized Cluster Categories},
author = {Salomón Dominguez and Christof Geiss},
journal= {arXiv preprint arXiv:1209.2081},
year = {2014}
}
Comments
6 pages. v2: In example X <--> C typo fixed and cross-references added. v3: small editorial changes. Final version to appear in J. Algebra