{
  "id": "0810.2156",
  "version": "v1",
  "published": "2008-10-13T05:27:15.000Z",
  "updated": "2008-10-13T05:27:15.000Z",
  "title": "Quantizations of modules of differential operators",
  "authors": [
    "Charles H. Conley"
  ],
  "comment": "21 pages",
  "journal": "Contemp. Math. 490 (2009), 61-81",
  "categories": [
    "math.RT"
  ],
  "abstract": "Fix a manifold M, and let V be an infinite dimensional Lie algebra of vector fields on M. Assume that V contains a finite dimensional semisimple maximal subalgebra A, the projective or conformal subalgebra. A projective or conformal quantization of a V-module of differential operators on M is a decomposition into irreducible A-modules. We survey recent results on projective quantizations and their applications to cohomology, geometric equivalences and symmetries of differential operator modules, and indecomposable modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-13T05:27:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B66"
    ],
    "keywords": [
      "quantization",
      "finite dimensional semisimple maximal subalgebra",
      "infinite dimensional lie algebra",
      "differential operator modules",
      "conformal subalgebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.2156C"
    }
  }
}