Caldero-Keller approach to the denominators of cluster variables
| dc.creator | Dupont, G. | |
| dc.date | 2007-11-29 | |
| dc.date | 2008-04-24 | |
| dc.date.accessioned | 2026-07-07T09:34:11Z | |
| dc.date.available | 2026-07-07T09:34:11Z | |
| dc.description | Buan, Marsh and Reiten proved that if a cluster-tilting object $T$ in a cluster category $\mathcal C$ associated to an acyclic quiver $Q$ satisfies certain conditions with respect to the exchange pairs in $\mathcal C$, then the denominator in its reduced form of every cluster variable in the cluster algebra associated to $Q$ has exponents given by the dimension vector of the corresponding module over the endomorphism algebra of $T$. In this paper, we give an alternative proof of this result using the Caldero-Keller approach to acyclic cluster algebras and the work of Palu on cluster characters. | |
| dc.description | 10 pages. Minor modifications : mainly layout and typos | |
| dc.identifier | https://arxiv.org/abs/0711.4661 | |
| dc.identifier | http://arxiv.org/abs/0711.4661 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159399 | |
| dc.subject | Representation Theory | |
| dc.subject | 16G20; 16S99; 16G70 | |
| dc.title | Caldero-Keller approach to the denominators of cluster variables | |
| dc.type | text |