Powers of Coxeter elements in infinite groups are reduced
| dc.creator | Speyer, David E | |
| dc.date | 2007-10-16 | |
| dc.date.accessioned | 2026-07-07T08:36:48Z | |
| dc.date.available | 2026-07-07T08:36:48Z | |
| dc.description | Let W be an infinite irreducible Coxeter group with (s_1, ..., s_n) the simple generators. We give a simple proof that the word s_1 s_2 ... s_n s_1 s_2 >... s_n ... s_1 s_2 ... s_n is reduced for any number of repetitions of s_1 s_2 >... s_n. This result was proved for simply-laced, crystallographic groups by Kleiner and Pelley using methods from the theory of quiver representations. Our proof only using basic facts about Coxeter groups and the geometry of root systems. | |
| dc.description | 7 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0710.3188 | |
| dc.identifier | http://arxiv.org/abs/0710.3188 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140188 | |
| dc.subject | Combinatorics | |
| dc.title | Powers of Coxeter elements in infinite groups are reduced | |
| dc.type | text |