{
  "annotation_id": "fd512c4b-1c21-416c-831b-f063675522aa",
  "date_created": "2026-03-02T18:01:21.742000Z",
  "date_modified": "2026-03-02T18:01:21.742000Z",
  "file_hash": "a659c5fa401430796f5548c6cad182cbacfc62242dd53b20912280f52468abb4",
  "private": false,
  "record": {
    "abstract": "We will derive both quaternion and octonion algebras as the Clebsch-Gordan\nalgebras based upon the su(2) Lie algebra by considering angular momentum\nspaces of spin one and three. If we consider both spin 1 and 1/2 states, then\nthe same method will lead to the Lie-super algebra osp(1,2). Also, the quantum\ngeneralization of the method is discussed on the basis of the quantum group\n$su_q(2)$.",
    "arxiv_id": "physics/9710038",
    "authors": [
      "Susumu Okubo"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/9789812816566_0014",
    "title": "Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)",
    "url": "https://arxiv.org/abs/physics/9710038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e75fd0bd-7518-4405-9dd4-31c4c90bd78c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}