{
  "id": "1502.01932",
  "version": "v1",
  "published": "2015-02-06T16:04:07.000Z",
  "updated": "2015-02-06T16:04:07.000Z",
  "title": "A Frobenius formula for the structure coefficients of double-class algebras of Gelfand pairs",
  "authors": [
    "Omar Tout"
  ],
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We generalise some well known properties of irreducible characters of finite groups to zonal spherical functions of Gelfand pairs. This leads to a Frobenius formula for Gelfand pairs. For a given Gelfand pair, the structure coefficients of its associated double-class algebra can be written in terms of zonal spherical functions. This is a generalisation of the Frobenius formula which writes the structure coefficients of the center of a finite group algebra in terms of irreducible characters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-06T16:04:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E15"
    ],
    "keywords": [
      "gelfand pair",
      "frobenius formula",
      "structure coefficients",
      "zonal spherical functions",
      "finite group algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}