Quiver Presentations for Descent Algebras of Exceptional Type
| dc.creator | Pfeiffer, Goetz | |
| dc.date | 2008-10-15 | |
| dc.date.accessioned | 2026-07-07T10:10:25Z | |
| dc.date.available | 2026-07-07T10:10:25Z | |
| dc.description | The descent algebra of a finite Coxeter group $W$ is a basic algebra, and as such it has a presentation as quiver with relations. In recent work, we have developed a combinatorial framework which allows us to systematically compute such a quiver presentation for a Coxeter group of a given type. In this article, we use that framework to determine quiver presentations for the descent algebras of the Coxeter groups of exceptional or non-crystallographic type, i.e., of type $E_6$, $E_7$, $E_8$, $F_4$, $H_3$, $H_4$ or $I_2(m)$. | |
| dc.description | 25 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/0810.2743 | |
| dc.identifier | http://arxiv.org/abs/0810.2743 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171599 | |
| dc.subject | Representation Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 20F55; 20F05; 20C40 | |
| dc.title | Quiver Presentations for Descent Algebras of Exceptional Type | |
| dc.type | text |