{
  "id": "1206.1737",
  "version": "v4",
  "published": "2012-06-08T11:58:49.000Z",
  "updated": "2014-10-09T19:46:27.000Z",
  "title": "Minimal representations of simple real Lie groups of Hermitian type - The Fock and the Schrödinger models",
  "authors": [
    "Dehbia Achab"
  ],
  "comment": "50 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In the recent paper [A12], a geometric realization to minimal representations of simple real Lie groups of non Hermitian type is given, based on the geometric setting introduced in [A11] and the analysis of the Brylinski-Kostant model, given in [AF12]. We give in this paper a geometric realization to minimal representations of simple real Lie groups of Hermitian type (unless the exceptional case)",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-03-07T21:41:22.000Z",
      "abstract": "In the recent paper [Achab 2012], a unified geometric realization to all minimal representations of simple real Lie groups of non Hermitian type is given, based on the geometric setting introduced in [Achab 2011] and the analysis given in [Achab-Faraut 2012]. We give in this paper a unified geometric realization to the minimal representations of simple real Lie groups of Hermitian type.",
      "comment": "38 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2014-10-09T19:46:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17C36",
      "22E46",
      "32M15",
      "33C80"
    ],
    "keywords": [
      "simple real lie groups",
      "minimal representations",
      "schrödinger models",
      "unified geometric realization",
      "non hermitian type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.1737A"
    }
  }
}