Counting cluster-tilted algebras of type $A_n$
| dc.creator | Torkildsen, Hermund André | |
| dc.date | 2008-01-24 | |
| dc.date | 2008-04-16 | |
| dc.date.accessioned | 2026-07-07T09:32:36Z | |
| dc.date.available | 2026-07-07T09:32:36Z | |
| dc.description | The purpose of this paper is to give an explicit formula for the number of non-isomorphic cluster-tilted algebras of type $A_n$, by counting the mutation class of any quiver with underlying graph $A_n$. It will also follow that if $T$ and $T'$ are cluster-tilting objects in a cluster category $\mathcal{C}$, then $\End_{\mathcal{C}}(T)$ is isomorphic to $\End_{\mathcal{C}}(T')$ if and only if $T=τ^i T'$. | |
| dc.description | 9 pages, 4 figures, minor changes, grammatical corrections and layout | |
| dc.identifier | https://arxiv.org/abs/0801.3762 | |
| dc.identifier | http://arxiv.org/abs/0801.3762 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158838 | |
| dc.subject | Representation Theory | |
| dc.title | Counting cluster-tilted algebras of type $A_n$ | |
| dc.type | text |