A note on the subword complexes in Coxeter groups
| dc.creator | Olteanu, Anda | |
| dc.date | 2008-11-28 | |
| dc.date.accessioned | 2026-07-07T12:06:13Z | |
| dc.date.available | 2026-07-07T12:06:13Z | |
| dc.description | We prove that the Stanley--Reisner ideal of the Alexander dual of the subword complexes in Coxeter groups has linear quotients with respect to the lexicographical order of the minimal monomial generators. As a consequence, we obtain a shelling order on the facets of the subword complex. We relate some invariants of the subword complexes or of their dual with invariants of the word. For a particular class of subword complexes, we prove that the Stanley--Reisner ring is a complete intersection ring. | |
| dc.identifier | https://arxiv.org/abs/0811.4552 | |
| dc.identifier | http://arxiv.org/abs/0811.4552 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/208591 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 13F55;05E15 | |
| dc.title | A note on the subword complexes in Coxeter groups | |
| dc.type | text |