{
  "id": "0901.1233",
  "version": "v1",
  "published": "2009-01-09T12:54:23.000Z",
  "updated": "2009-01-09T12:54:23.000Z",
  "title": "A classification of homogeneous operators in the Cowen-Douglas class",
  "authors": [
    "Adam Korany",
    "Gadadhar Misra"
  ],
  "categories": [
    "math.FA",
    "math.RT"
  ],
  "abstract": "A complete list of homogeneous operators in the Cowen-Douglas class $B_n(D)$ is given. This classification is obtained from an explicit realization of all the homogeneous Hermitian holomorphic vector bundles on the unit disc under the action of the universal covering group of the bi-holomorphic automorphism group of the unit disc.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-09T12:54:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cowen-douglas class",
      "homogeneous operators",
      "classification",
      "homogeneous hermitian holomorphic vector bundles",
      "unit disc"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}