{
  "id": "1305.2568",
  "version": "v1",
  "published": "2013-05-12T07:57:40.000Z",
  "updated": "2013-05-12T07:57:40.000Z",
  "title": "On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions",
  "authors": [
    "Masaki Watanabe"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we derive a relation of new kind between certain character values of symmetric groups in terms of so-called maya diagrams. We also investigate a relation between our result and Bernstein's creation operators for Schur functions, and consider analogous relations for projective characters of symmetric groups through creation operators for Schur $Q$-functions. We also consider analogous relations for characters of Brauer algebras and walled Brauer algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-12T07:57:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric groups",
      "character values",
      "symmetric functions",
      "connection",
      "analogous relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.2568W"
    }
  }
}