{
  "annotation_id": "38772a8f-82a5-4d08-9c3c-8fca3b07cce3",
  "date_created": "2026-03-02T18:01:24.711000Z",
  "date_modified": "2026-03-02T18:01:24.711000Z",
  "file_hash": "2d60bbeb0ef5037f9146f1ad629d921ad6ac7c9a7b335a88b5ed42090191bf66",
  "private": false,
  "record": {
    "abstract": "Deformations of the Lie algebras so(4), so(3,1), and e(3) that leave their\nso(3) subalgebra undeformed and preserve their coset structure are considered.\nIt is shown that such deformed algebras are associative for any choice of the\ndeformation parameters. Their Casimir operators are obtained and some of their\nunitary irreducible representations are constructed. For vanishing deformation,\nthe latter go over into those of the corresponding Lie algebras that contain\neach of the so(3) unitary irreducible representations at most once. It is also\nproved that similar deformations of the Lie algebras su(3), sl(3,R), and of the\nsemidirect sum of an abelian algebra t(5) and so(3) do not lead to associative\nalgebras.",
    "arxiv_id": "q-alg/9503009",
    "authors": [
      "C. Quesne"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/28/10/015",
    "journal_ref": "J. Phys. A 28 (1995) 2847-2860",
    "title": "On some nonlinear extensions of the angular momentum algebra",
    "url": "https://arxiv.org/abs/q-alg/9503009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "921a9abd-4742-4aa3-a9f1-381da15079ac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}