{
  "id": "hep-th/0312129",
  "version": "v1",
  "published": "2003-12-12T10:32:27.000Z",
  "updated": "2003-12-12T10:32:27.000Z",
  "title": "The induced representation of the isometry group of the Euclidean Taub-NUT space and new spherical harmonics",
  "authors": [
    "Ion I. Cotaescu",
    "Mihai Visinescu"
  ],
  "comment": "16 pages, no figures, LaTeX2e",
  "journal": "Mod.Phys.Lett. A19 (2004) 1397-1410",
  "doi": "10.1142/S0217732304013672",
  "categories": [
    "hep-th",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is shown that the SO(3) isometries of the Euclidean Taub-NUT space combine a linear three-dimensional representation with one induced by a SO(2) subgroup, giving the transformation law of the fourth coordinate under rotations. This explains the special form of the angular momentum operator on this manifold which leads to a new type of spherical harmonics and spinors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-12T10:32:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "euclidean taub-nut space",
      "spherical harmonics",
      "isometry group",
      "induced representation",
      "angular momentum operator"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 635465
    }
  }
}