{
  "id": "1412.6323",
  "version": "v1",
  "published": "2014-12-19T13:07:49.000Z",
  "updated": "2014-12-19T13:07:49.000Z",
  "title": "Spectral synthesis for coadjoint orbits of nilpotent Lie groups",
  "authors": [
    "Ingrid Beltita",
    "Jean Ludwig"
  ],
  "comment": "25 pages",
  "categories": [
    "math.RT",
    "math.CA"
  ],
  "abstract": "We determine the space of primary ideals in the group algebra $L^1(G)$ of a connected nilpotent Lie group by identifying for every $\\pi\\in\\hat G $ the family ${\\mathcal I}^\\pi $ of primary ideals with hull $\\{\\pi\\}$ with the family of invariant polynomials of a certain finite dimensional subspace ${\\mathcal P}_Q^\\pi $ of the space of polynomials ${\\mathcal P}(G) $ on $G $.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-19T13:07:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A45",
      "43A20",
      "22E25",
      "22E27"
    ],
    "keywords": [
      "coadjoint orbits",
      "spectral synthesis",
      "primary ideals",
      "connected nilpotent lie group",
      "finite dimensional subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6323B"
    }
  }
}