The dual braid monoid
| dc.creator | Bessis, David | |
| dc.date | 2001-01-18 | |
| dc.date | 2002-01-18 | |
| dc.date.accessioned | 2026-07-07T04:39:43Z | |
| dc.date.available | 2026-07-07T04:39:43Z | |
| dc.description | We construct a new monoid structure for Artin groups associated with finite Coxeter systems. This monoid shares with the classical positive braid monoid a crucial algebraic property: it is a Garside monoid. The analogy with the classical construction indicates there is a ``dual'' way of studying Coxeter systems, where the pair (W,S) is replaced by (W,T), with T the set of all reflections. In the type A case, we recover the monoid constructed by Birman-Ko-Lee | |
| dc.description | 42 pages. Major revision, many new results | |
| dc.identifier | https://arxiv.org/abs/math/0101158 | |
| dc.identifier | http://arxiv.org/abs/math/0101158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60782 | |
| dc.subject | Group Theory | |
| dc.subject | 20F36; 20F55 | |
| dc.title | The dual braid monoid | |
| dc.type | text |