{
  "id": "1411.1347",
  "version": "v1",
  "published": "2014-11-05T18:15:36.000Z",
  "updated": "2014-11-05T18:15:36.000Z",
  "title": "Weyl-Pedersen calculus for some semidirect products of nilpotent Lie groups",
  "authors": [
    "Ingrid Beltita",
    "Daniel Beltita",
    "Mihai Pascu"
  ],
  "comment": "12 pages",
  "categories": [
    "math.RT",
    "math.AP"
  ],
  "abstract": "For certain nilpotent real Lie groups constructed as semidirect products, algebras of invariant differential operators on some coadjoint orbits are used in the study of boundedness properties of the Weyl-Pedersen calculus of their corresponding unitary irreducible representations. Our main result is applicable to all unitary irreducible representations of arbitrary 3-step nilpotent Lie groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-05T18:15:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B30",
      "22E25",
      "22E27",
      "35S05"
    ],
    "keywords": [
      "nilpotent lie groups",
      "semidirect products",
      "weyl-pedersen calculus",
      "unitary irreducible representations",
      "nilpotent real lie groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}