{
  "id": "0912.1819",
  "version": "v1",
  "published": "2009-12-09T18:02:42.000Z",
  "updated": "2009-12-09T18:02:42.000Z",
  "title": "Congruence B-Orbits and the Bruhat Poset of Involutions of the Symmetric Group",
  "authors": [
    "Eli Bagno",
    "Yonah Cherniavsky"
  ],
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "We study the poset of Borel congruence classes of symmetric matrices ordered by containment of closures. We give a combinatorial description of this poset and calculate its rank function. We discuss the relation between this poset and the Bruhat poset of involutions of the symmetric group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-09T18:02:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "20B30"
    ],
    "keywords": [
      "bruhat poset",
      "symmetric group",
      "congruence b-orbits",
      "involutions",
      "borel congruence classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.1819B"
    }
  }
}