{
  "id": "0811.4552",
  "version": "v1",
  "published": "2008-11-28T19:43:20.000Z",
  "updated": "2008-11-28T19:43:20.000Z",
  "title": "A note on the subword complexes in Coxeter groups",
  "authors": [
    "Anda Olteanu"
  ],
  "categories": [
    "math.AC",
    "math.CO"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-28T19:43:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F55",
      "05E15"
    ],
    "keywords": [
      "subword complexes",
      "coxeter groups",
      "minimal monomial generators",
      "alexander dual",
      "complete intersection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.4552O"
    }
  }
}