{
  "annotation_id": "b7311499-df1f-4f19-ac39-1c92981d12c5",
  "date_created": "2026-03-02T18:01:21.473000Z",
  "date_modified": "2026-03-02T18:01:21.473000Z",
  "file_hash": "95e9488d413fca2356e463f3c18ba7f5922821e163776adabd2fb16e194c508a",
  "private": false,
  "record": {
    "abstract": "A new simple Young diagrammatic method for Kronecker products of O(n) and\nSp(2m) is proposed based on representation theory of Brauer algebras. A general\nprocedure for the decomposition of tensor products of representations for O(n)\nand Sp(2m) is outlined, which is similar to that for U(n) known as the\nLittlewood rules together with trace contractions from a Brauer algebra and\nsome modification rules given by King.",
    "arxiv_id": "physics/9712032",
    "authors": [
      "Feng Pan",
      "Shihai Dong",
      "J. P. Draayer"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/30/23/024",
    "title": "A New Young Diagrammatic Method For Kronecker Products of O(n) and   Sp(2m)",
    "url": "https://arxiv.org/abs/physics/9712032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a453ea82-b51b-4942-af4e-b67a26f842c6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}