{
  "id": "math/0302203",
  "version": "v1",
  "published": "2003-02-18T19:17:39.000Z",
  "updated": "2003-02-18T19:17:39.000Z",
  "title": "The Algebra of Conjugacy Classes in Symmetric Groups and Partial Permutations",
  "authors": [
    "Vladimir Ivanov",
    "Sergei Kerov"
  ],
  "comment": "AMS-TeX, 19 pages, no figures",
  "journal": "Journal of Mathematical Sciences (Kluwer) 107 (2001) no.5 4212-4230",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We prove a convolution formula for the conjugacy classes in symmetric groups conjectured by the second author. A combinatorial interpretation of coefficients is provided. As a main tool we introduce new semigroup of partial permutations. We describe its structure, representations, and characters. We also discuss filtrations on the subalgebra of invariants in the semigroup algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-18T19:17:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "20B30",
      "20C30",
      "20C32",
      "20E45"
    ],
    "keywords": [
      "conjugacy classes",
      "partial permutations",
      "convolution formula",
      "main tool",
      "combinatorial interpretation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2203I"
    }
  }
}