{
  "id": "0910.4743",
  "version": "v1",
  "published": "2009-10-25T14:45:33.000Z",
  "updated": "2009-10-25T14:45:33.000Z",
  "title": "Involutions of the Symmetric Group and Congruence B-orbits of Anti-Symmetric Matrices",
  "authors": [
    "Yonah Cherniavsky"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We present the poset of Borel congruence classes of anti-symmetric matrices ordered by containment of closures. We show that there exists a bijection between the set of these classes and the set of involutions of the symmetric group. We give two formulas for the rank function of this poset.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-25T14:45:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A07",
      "05A05"
    ],
    "keywords": [
      "symmetric group",
      "congruence b-orbits",
      "involutions",
      "borel congruence classes",
      "rank function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.4743C"
    }
  }
}