The fundamental group of a triangular algebra without double bypasses
| dc.creator | Meur, Patrick Le | |
| dc.date | 2005-03-15 | |
| dc.date | 2005-04-11 | |
| dc.date.accessioned | 2026-07-07T10:05:51Z | |
| dc.date.available | 2026-07-07T10:05:51Z | |
| dc.description | Let A be a basic connected finite dimensional algebra over a field k and let Q be the ordinary quiver of A. To any presentation of A with Q and admissible relations, R. Martinez-Villa and J. A. de La Pena have associated a group called the fundamental group of this presentation. There may exist different presentations of A with non isomorphic fundamental groups. In this note, we show that if the field k has characteristic zero, if Q has no oriented cycles and if Q has no double bypasses then there exists a privileged presentation of A such that the fundamental group of any other presentation is the quotient of the fundamental group of this privileged presentation. | |
| dc.description | The proofs of the results in this note will be given in a subsequent paper where the framework will be extended to galois coverings of an algebra | |
| dc.identifier | https://arxiv.org/abs/math/0503302 | |
| dc.identifier | http://arxiv.org/abs/math/0503302 | |
| dc.identifier | Comptes Rendus de l'Academie des Sciences. Serie 1, Mathematique 341, 4 (2005) 211--216 | |
| dc.identifier | doi:10.1016/j.crma.2005.07.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170132 | |
| dc.subject | Representation Theory | |
| dc.subject | 16G10 | |
| dc.title | The fundamental group of a triangular algebra without double bypasses | |
| dc.type | text |