{
  "id": "1709.05102",
  "version": "v1",
  "published": "2017-09-15T08:32:36.000Z",
  "updated": "2017-09-15T08:32:36.000Z",
  "title": "Coadjoint orbits in representation theory of pro-Lie groups",
  "authors": [
    "Daniel Beltita",
    "Amel Zergane"
  ],
  "comment": "6 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We present a one-to-one correspondence between equivalence classes of unitary irreducible representations and coadjoint orbits for a class of pro-Lie groups including all connected locally compact nilpotent groups and arbitrary infinite direct products of nilpotent Lie groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-15T08:32:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A25",
      "22A10",
      "22D10",
      "22D25"
    ],
    "keywords": [
      "coadjoint orbits",
      "pro-lie groups",
      "representation theory",
      "arbitrary infinite direct products",
      "nilpotent lie groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}