Non-crossing partitions of type (e,e,r)
| dc.creator | Bessis, David | |
| dc.creator | Corran, Ruth | |
| dc.date | 2004-03-23 | |
| dc.date | 2004-04-21 | |
| dc.date.accessioned | 2026-07-07T05:06:41Z | |
| dc.date.available | 2026-07-07T05:06:41Z | |
| dc.description | We investigate a new lattice of generalised non-crossing partitions, constructed using the geometry of the complex reflection group $G(e,e,r)$. For the particular case $e=2$ (resp. $r=2$), our lattice coincides with the lattice of simple elements for the type $D_n$ (resp. $I_2(e)$) dual braid monoid. Using this lattice, we construct a Garside structure for the braid group $B(e,e,r)$. As a corollary, one may solve the word and conjugacy problems in this group. | |
| dc.description | 38 pages, 15 figures; second version with extended introduction | |
| dc.identifier | https://arxiv.org/abs/math/0403400 | |
| dc.identifier | http://arxiv.org/abs/math/0403400 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70567 | |
| dc.subject | Group Theory | |
| dc.subject | 20F36; 20F55 | |
| dc.title | Non-crossing partitions of type (e,e,r) | |
| dc.type | text |