{
  "id": "1209.4123",
  "version": "v2",
  "published": "2012-09-19T00:00:52.000Z",
  "updated": "2015-05-04T00:08:11.000Z",
  "title": "Tempered Representations and Nilpotent Orbits",
  "authors": [
    "Benjamin Harris"
  ],
  "comment": "The class of nilpotent orbits studied in this paper is different from the class of noticed nilpotent orbits studied by Noel. A previous version of this paper erroneously stated that these two classes are the same. Representation Theory, Volume 16, 2012",
  "categories": [
    "math.RT"
  ],
  "abstract": "Given a nilpotent orbit O of a real, reductive algebraic group, a necessary condition is given for the existence of a tempered representation pi such that O occurs in the wave front cycle of pi. The coefficients of the wave front cycle of a tempered representation are expressed in terms of volumes of precompact submanifolds of an affine space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-19T00:00:52.000Z",
      "comment": null,
      "journal": "Representation Theory, Volume 16, 2012",
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-05-04T00:08:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nilpotent orbit",
      "wave front cycle",
      "necessary condition",
      "affine space",
      "precompact submanifolds"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Represent. Theory"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4123H"
    }
  }
}