{
  "id": "1208.2641",
  "version": "v1",
  "published": "2012-08-13T17:12:46.000Z",
  "updated": "2012-08-13T17:12:46.000Z",
  "title": "Positive definite superfunctions and unitary representations of Lie supergroups",
  "authors": [
    "Karl-Hermann Neeb",
    "Hadi Salmasian"
  ],
  "comment": "34 pages",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "For a broad class of Frechet-Lie supergroups we prove that there exists a correspondence between positive definite smooth superfunctions and matrix coefficients of unitary representations. We also give a characterization of linear functionals on the corresponding universal enveloping algebra which correspond to matrix coefficients of analytic unitary representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-13T17:12:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E65",
      "22E45",
      "17B65",
      "58C50"
    ],
    "keywords": [
      "positive definite superfunctions",
      "matrix coefficients",
      "analytic unitary representations",
      "positive definite smooth superfunctions",
      "frechet-lie supergroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.2641N"
    }
  }
}