{
  "id": "math/0206213",
  "version": "v1",
  "published": "2002-06-20T13:25:30.000Z",
  "updated": "2002-06-20T13:25:30.000Z",
  "title": "Equivariant symbol calculus for differential operators acting on forms",
  "authors": [
    "F. Boniver",
    "S. Hansoul",
    "P. Mathonet",
    "N. Poncin"
  ],
  "comment": "14 pages",
  "journal": "Lett. Math. Phys., 62, 219-232, 2002",
  "categories": [
    "math.RT",
    "math.DG"
  ],
  "abstract": "We prove the existence and uniqueness of a projectively equivariant symbol map (in the sense of Lecomte and Ovsienko) for the spaces $D_p$ of differential operators transforming p-forms into functions. These results hold over a smooth manifold endowed with a flat projective structure. As an application, we classify the Vect(M)-equivariant maps from $D_p$ to $D_q$ over any manifold M, recovering and improving earlier results by N. Poncin. This provides the complete answer to a question raised by P. Lecomte about the extension of a certain intrinsic homotopy operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-20T13:25:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B66",
      "16S32"
    ],
    "keywords": [
      "equivariant symbol calculus",
      "differential operators acting",
      "intrinsic homotopy operator",
      "projectively equivariant symbol map",
      "differential operators transforming p-forms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6213B"
    }
  }
}