Treillis de Cayley des groupes de Coxeter finis. Constructions par récurrence et décompositions sur des quotients
This article, dedicated to André Lentin on the occasionof the meeting (23/02/1996) organized in his honor, aims to show the the labelled lattice obtained from the weak order on a finite Coxeter system (W,S) as welle as the group itself can be constructed stating from an arbitrary parabolic subgroupe...
Shranjeno v:
| izdano v: | URI:https://journals.openedition.org/msh, |
|---|---|
| Glavni avtor: | |
| Format: | Article ou chapitre numérique |
| Jezik: | Anglais |
| Izdano: |
Mathématiques et sciences humaines
2006
|
| Online dostop: | Accès Université d'Orléans et IFPM Accès Université d'Orléans et IFPM |
| Izvleček: | This article, dedicated to André Lentin on the occasionof the meeting (23/02/1996) organized in his honor, aims to show the the labelled lattice obtained from the weak order on a finite Coxeter system (W,S) as welle as the group itself can be constructed stating from an arbitrary parabolic subgroupe WJ, the associated quotient WJ and a function from WJ x J to S U . This method permits to recursive construction of groups and latices inthe four infinite families of irreducible finite Coxter groups : the reverse procedure leads to a reduction algorithm for expressions of elements of the group as products of generators |
|---|