Quivers with potentials and their representations I: Mutations
| dc.creator | Derksen, Harm | |
| dc.creator | Weyman, Jerzy | |
| dc.creator | Zelevinsky, Andrei | |
| dc.date | 2007-04-04 | |
| dc.date | 2008-04-21 | |
| dc.date.accessioned | 2026-07-07T09:33:19Z | |
| dc.date.available | 2026-07-07T09:33:19Z | |
| dc.description | We study quivers with relations given by non-commutative analogs of Jacobian ideals in the complete path algebra. This framework allows us to give a representation-theoretic interpretation of quiver mutations at arbitrary vertices. This gives a far-reaching generalization of Bernstein-Gelfand-Ponomarev reflection functors. The motivations for this work come from several sources: superpotentials in physics, Calabi-Yau algebras, cluster algebras. | |
| dc.description | 58 pages; v.2: a typo fixed, references rearranged in the correct alphabetical order, an acknowledgment added; v.3: more typos fixed, minor editorial improvements; v.4: minor editorial changes, final version to appear in Selecta Math | |
| dc.identifier | https://arxiv.org/abs/0704.0649 | |
| dc.identifier | http://arxiv.org/abs/0704.0649 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159091 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 16G10 (Primary); 16G20, 16S38 (Secondary) | |
| dc.title | Quivers with potentials and their representations I: Mutations | |
| dc.type | text |