{
  "annotation_id": "3ca81207-51f5-42d1-9911-a643fd1d0d1b",
  "date_created": "2026-03-02T18:01:24.714000Z",
  "date_modified": "2026-03-02T18:01:24.714000Z",
  "file_hash": "178c9eefbc15e623d8e2ae50d626a8eadeed08b7effe4dc3c8e35c0719e00dfe",
  "private": false,
  "record": {
    "abstract": "We derive a closed formula for a star-product on complex projective space and\non the domain $SU(n+1)/S(U(1)\\times U(n))$ using a completely elementary\nconstruction: Starting from the standard star-product of Wick type on $C^{n+1}\n\\setminus \\{ 0 \\}$ and performing a quantum analogue of Marsden-Weinstein\nreduction, we can give an easy algebraic description of this star-product.\nMoreover, going over to a modified star-product on $C^{n+1} \\setminus \\{ 0 \\}$,\nobtained by an equivalence transformation, this description can be even further\nsimplified, allowing the explicit computation of a closed formula for the\nstar-product on $\\CP^n$ which can easily transferred to the domain\n$SU(n+1)/S(U(1)\\times U(n))$.",
    "arxiv_id": "q-alg/9503004",
    "authors": [
      "M. Bordemann",
      "M. Brischle",
      "C. Emmrich",
      "S. Waldmann"
    ],
    "categories": [
      "q-alg",
      "dg-ga",
      "hep-th",
      "math.DG",
      "math.QA"
    ],
    "doi": "10.1007/BF00714403",
    "title": "Phase Space Reduction for Star-Products: An Explicit Construction for   CP^n",
    "url": "https://arxiv.org/abs/q-alg/9503004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "61beb15a-18dd-4c7b-be11-c499a2938eab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}