{
  "annotation_id": "4fa70270-bc3d-49a0-9c14-479d389796bf",
  "date_created": "2026-03-02T18:01:27.747000Z",
  "date_modified": "2026-03-02T18:01:27.747000Z",
  "file_hash": "2d23e833b94cbf2b2cba928413a1545fd5b4f314c2d369ce1cacd0a355a2a73a",
  "private": false,
  "record": {
    "abstract": "The product of two Heisenberg-Weil algebras contains the Jordan-Schwinger\nrepresentation of su(2). This Algebra is quotiented by the square-root of the\nCasimir to produce a non-associative algebra denoted by $\\Psi$. This algebra\nmay be viewed as the right-module over one of its associative subalgebras which\ncorresponds to the algebra of scalar fields on the noncommutative sphere. It is\nnow possible to interpret other subspaces as the space of spinor or vector\nfields on the noncommutative sphere. A natural basis of $\\Psi$ is given which\nmay be interpreted as the deformed entries in the rotation matrices of SU(2).",
    "arxiv_id": "q-alg/9708003",
    "authors": [
      "Jonathan Gratus"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1063/1.532299",
    "journal_ref": "J.Math.Phys. 39 (1998) 2306-2324",
    "title": "A Natural Basis for Spinor and Vector Fields on the Noncommutative   sphere",
    "url": "https://arxiv.org/abs/q-alg/9708003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "35609a99-47c2-40f7-bf7e-c4d74c6a4768",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}