{
  "id": "1712.03356",
  "version": "v1",
  "published": "2017-12-09T08:48:07.000Z",
  "updated": "2017-12-09T08:48:07.000Z",
  "title": "On the decomposition of tensor representations of symmetric groups",
  "authors": [
    "P. P. Nikitin",
    "N. V. Tsilevich",
    "A. M. Vershik"
  ],
  "comment": "19 pp. Ref 14",
  "categories": [
    "math.RT"
  ],
  "abstract": "Following to general idea of Schur-Weyl duality and using two suitable symmetric groups (instead of one) we try to make more implicit solution of the classical problem of decomposing tensor representations of finite and infinite symmetric groups into irreducible components.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-09T08:48:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A25"
    ],
    "keywords": [
      "decomposition",
      "infinite symmetric groups",
      "general idea",
      "decomposing tensor representations",
      "schur-weyl duality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}