Around Solomon's descent algebras
| dc.creator | Bonnafé, Cédric | |
| dc.creator | Pfeiffer, Götz | |
| dc.date | 2006-01-13 | |
| dc.date | 2008-05-30 | |
| dc.date.accessioned | 2026-07-07T09:41:38Z | |
| dc.date.available | 2026-07-07T09:41:38Z | |
| dc.description | We study different problems related to the Solomon's descent algebra $Σ(W)$ of a finite Coxeter group $(W,S)$: positive elements, morphisms between descent algebras, Loewy length... One of the main result is that, if $W$ is irreducible and if the longest element is central, then the Loewy length of $Σ(W)$ is equal to $\lceil |S| / 2 \rceil$. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601317 | |
| dc.identifier | http://arxiv.org/abs/math/0601317 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161899 | |
| dc.subject | Representation Theory | |
| dc.subject | 20F55 (Primary); 05E99 (Secondary) | |
| dc.title | Around Solomon's descent algebras | |
| dc.type | text |