Explicit Presentations for the Dual Braid Monoids
| dc.creator | Picantin, Matthieu | |
| dc.date | 2001-11-27 | |
| dc.date.accessioned | 2026-07-07T04:44:48Z | |
| dc.date.available | 2026-07-07T04:44:48Z | |
| dc.description | Birman, Ko and Lee have introduced a new monoid ${\cal B}^{*}_{n}$--with an explicit presentation--whose group of fractions is the $n$-strand braid group ${\cal B}_{n}$. Building on a new approach by Digne, Michel and himself, Bessis has defined a {\it dual} braid monoid for every finite Coxeter type Artin-Tits group extending the type A case. Here, we give an explicit presentation for this dual braid monoid in the case of types B and D, and we study the combinatorics of the underlying Garside structures. | |
| dc.description | 6 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0111280 | |
| dc.identifier | http://arxiv.org/abs/math/0111280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62740 | |
| dc.subject | Group Theory | |
| dc.subject | 20F05; 20F36 | |
| dc.title | Explicit Presentations for the Dual Braid Monoids | |
| dc.type | text |