{
  "id": "1103.1614",
  "version": "v11",
  "published": "2011-03-08T19:50:17.000Z",
  "updated": "2015-06-02T16:21:32.000Z",
  "title": "Minimal representations of simple real Lie groups of non Hermitian type - The Fock model",
  "authors": [
    "Dehbia Achab"
  ],
  "comment": "42 pages. arXiv admin note: text overlap with arXiv:1101.4402",
  "categories": [
    "math.RT"
  ],
  "abstract": "In the recent paper [AF12], we introduced an analysis of the Brylinski-Kostant model for spherical minimal representations for simple real Lie groups of non Hermitian type. We generalize here that analysis and give a unified geometric realization to a family of unitary irreducible representations of such groups.",
  "revisions": [
    {
      "version": "v10",
      "updated": "2014-03-07T21:44:09.000Z",
      "abstract": "In the recent paper [AF2011], we introduced an analysis of the Brylinski-Kostant model for the spherical minimal representations for simple real Lie groups of non Hermitian type. We generalize here that analysis and give a unified geometric realization to all minimal representations of such groups.",
      "journal": null,
      "doi": null
    },
    {
      "version": "v11",
      "updated": "2015-06-02T16:21:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17C36",
      "22E46",
      "32M15",
      "33C80"
    ],
    "keywords": [
      "simple real lie groups",
      "non hermitian type",
      "minimal representations",
      "fock model",
      "unified geometric realization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.1614A"
    }
  }
}