{
  "id": "math/9301214",
  "version": "v1",
  "published": "1993-01-01T00:00:00.000Z",
  "updated": "1993-01-01T00:00:00.000Z",
  "title": "Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations",
  "authors": [
    "Roger E. Howe"
  ],
  "comment": "74 pages",
  "journal": "Bull. Amer. Math. Soc. (N.S.) 28 (1993) 1-74",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper we study the reducibility, composition series and unitarity of the components of some degenerate principal series representations of $\\RMO(p,q)$, $\\RMU(p,q)$ and $\\SP(p,q)$. This is done by realizing these representations in paces of homogeneous functions on light cones and writing down the explicit actions of the universal enveloping algebra of the group concerned.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1993-01-01T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "degenerate principal series representations",
      "light cones",
      "homogeneous functions",
      "infinitesimal structure",
      "composition series"
    ],
    "tags": [
      "journal article",
      "expository article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Bull. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 74,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1993math......1214H"
    }
  }
}