{
  "id": "1608.08146",
  "version": "v1",
  "published": "2016-08-29T17:01:01.000Z",
  "updated": "2016-08-29T17:01:01.000Z",
  "title": "Noncommutative Deformations of Locally Symmetric Kähler manifolds",
  "authors": [
    "Kentaro Hara",
    "Akifumi Sako"
  ],
  "comment": "25pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We derive algebraic recurrence relations to obtain a deformation quantization with separation of variables for a locally symmetric K\\\"ahler manifold. This quantization method is one of the ways to perform a deformation quantization of K\\\"ahler manifolds, which is introduced by Karabegov. From the recurrence relations, concrete expressions of star products for one-dimensional local symmetric K\\\"ahler manifolds and ${\\mathbb C}P^N$ are constructed. The recurrence relations for a Grassmann manifold $G_{2,2}$ are closely studied too.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-29T17:01:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D55",
      "81R60"
    ],
    "keywords": [
      "locally symmetric kähler manifolds",
      "noncommutative deformations",
      "deformation quantization",
      "one-dimensional local symmetric",
      "derive algebraic recurrence relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}