{
  "id": "math/0703482",
  "version": "v1",
  "published": "2007-03-16T10:53:50.000Z",
  "updated": "2007-03-16T10:53:50.000Z",
  "title": "Fixed points of zircon automorphisms",
  "authors": [
    "Axel Hultman"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A zircon is a poset in which every principal order ideal is finite and equipped with a so-called special matching. We prove that the subposet induced by the fixed points of any automorphism of a zircon is itself a zircon. This provides a natural context in which to view recent results on Bruhat orders on twisted involutions in Coxeter groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-16T10:53:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fixed points",
      "zircon automorphisms",
      "principal order ideal",
      "coxeter groups",
      "natural context"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3482H"
    }
  }
}