{
  "id": "1604.05755",
  "version": "v1",
  "published": "2016-04-19T21:30:04.000Z",
  "updated": "2016-04-19T21:30:04.000Z",
  "title": "Algebras of conjugacy classes in symmetric groups",
  "authors": [
    "Yury A. Neretin"
  ],
  "comment": "12pp",
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "In 1999 V. Ivanov and S. Kerov observed that structure constants of algebras of conjugacy classes of symmetric groups $S_n$ admit a stabiluzation (in a nontrivial sence) as $n\\to \\infty$. We extend their construction to a certain class of pairs of groups $G\\supset K$ and algebras of conjugacy classes of $G$ with respect to $K$ (as $S_{kn}\\supset S_n$, $S_n\\times S_n \\supset S_n$, etc.).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-19T21:30:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B30",
      "20C32",
      "20E45"
    ],
    "keywords": [
      "conjugacy classes",
      "symmetric groups",
      "structure constants",
      "nontrivial sence",
      "stabiluzation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160405755N"
    }
  }
}