{
  "id": "2006.08541",
  "version": "v1",
  "published": "2020-06-15T16:52:12.000Z",
  "updated": "2020-06-15T16:52:12.000Z",
  "title": "Majorization and Spherical Functions",
  "authors": [
    "Colin McSwiggen",
    "Jonathan Novak"
  ],
  "comment": "17 pages, no figures",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "Majorization is a partial order on real vectors which plays an important role in a variety of subjects, ranging from algebra and combinatorics to probability and statistics. In this paper, we consider a generalized notion of majorization associated to an arbitrary root system $\\Phi,$ and show that it admits a natural characterization in terms of the values of spherical functions on any Riemannian symmetric space with restricted root system $\\Phi.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-15T16:52:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spherical functions",
      "majorization",
      "riemannian symmetric space",
      "arbitrary root system",
      "real vectors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}