{
  "id": "2007.06265",
  "version": "v1",
  "published": "2020-07-13T09:35:21.000Z",
  "updated": "2020-07-13T09:35:21.000Z",
  "title": "Gelfand Pairs of Complex Reflection Groups",
  "authors": [
    "Robin van Haastrecht"
  ],
  "comment": "18 pages, 0 figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this article the zonal spherical functions of the Gelfand pair $(G(r,d,n), S_n)$ of complex reflection groups will be calculated. After this, a product formula for these spherical functions and a discrete analog of the Laplace operator which has the spherical functions as eigenfunctions will be given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-13T09:35:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A90",
      "33C45"
    ],
    "keywords": [
      "complex reflection groups",
      "gelfand pair",
      "product formula",
      "zonal spherical functions",
      "discrete analog"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}