Subrepresentations of Kronecker representations
| dc.creator | Han, Yang | |
| dc.date | 2004-03-04 | |
| dc.date | 2005-04-18 | |
| dc.date.accessioned | 2026-07-07T05:05:56Z | |
| dc.date.available | 2026-07-07T05:05:56Z | |
| dc.description | Translated into the language of representations of quivers, a challenge in matrix pencil theory is to find sufficient and necessary conditions for a Kronecker representation to be a subfactor of another Kronecker representation in terms of their Kronecker invariants. The problem is reduced to a numerical criterion for a Kronecker representation to be a subrepresentation of another Kronecker representation in terms of their Kronecker invariants. The key to the problem is the calculation of ranks of matrices over polynomial rings. For this, a generalization and specialization approach is introduced. This approach is applied to provide a numerical criterion for a preprojective (resp. regular, preinjective) Kronecker representation to be a subrepresentation of another preprojective (resp. regular, preinjective) Kronecker representation in terms of their Kronecker invariants. | |
| dc.description | Accepted by Linear algebra and its applications | |
| dc.identifier | https://arxiv.org/abs/math/0403088 | |
| dc.identifier | http://arxiv.org/abs/math/0403088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70357 | |
| dc.subject | Representation Theory | |
| dc.subject | 16G20, 15A22, 15A21 | |
| dc.title | Subrepresentations of Kronecker representations | |
| dc.type | text |