$m$-cluster categories and $m$-replicated algebras
| dc.creator | Assem, I. | |
| dc.creator | Brüstle, T. | |
| dc.creator | Schiffler, R. | |
| dc.creator | Todorov, G. | |
| dc.date | 2006-08-29 | |
| dc.date.accessioned | 2026-07-07T07:22:17Z | |
| dc.date.available | 2026-07-07T07:22:17Z | |
| dc.description | Let A be a hereditary algebra over an algebraically closed field. We prove that an exact fundamental domain for the m-cluster category of A is the m-left part of the m-replicated algebra $A^{(m)}$ of A. Moreover, we obtain a one-to-one correspondence between the tilting objects in the m-cluster category (that is, the m-clusters) and those tilting $A^{(m)}$-modules for which all non projective-injective direct summands lie in the m-left part of $A^{(m)}$. | |
| dc.description | 28 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0608727 | |
| dc.identifier | http://arxiv.org/abs/math/0608727 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115608 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16G20, 16G70, 16E10 (Primary) 18E30 (Secondary) | |
| dc.title | $m$-cluster categories and $m$-replicated algebras | |
| dc.type | text |