{
  "annotation_id": "8341c603-bff9-4a43-b7ed-3738c0f33a8d",
  "date_created": "2026-03-02T18:01:48.953000Z",
  "date_modified": "2026-03-02T18:01:48.953000Z",
  "file_hash": "e8ed5f88cdc36ca0c4af293c3817174d52fed061f0ecca7de497685ccf4a7d93",
  "private": false,
  "record": {
    "abstract": "The Schwinger oscillator operator representation of SU(3) is analysed with\nparticular reference to the problem of multiplicity of irreducible\nrepresentations. It is shown that with the use of an $Sp(2,R)$ unitary\nrepresentation commuting with the SU(3) representation, the infinity of\noccurrences of each SU(3) irreducible representation can be handled in complete\ndetail. A natural `generating representation\u0027 for SU(3), containing each\nirreducible representation exactly once, is identified within a subspace of the\nSchwinger construction; and this is shown to be equivalent to an induced\nrepresentation of SU(3).",
    "arxiv_id": "quant-ph/0204119",
    "authors": [
      "S. Chaturvedi",
      "N. Mukunda"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1063/1.1508810",
    "journal_ref": "J.Math.Phys. 43 (2002) 5262-5277",
    "title": "The Schwinger SU(3) construction - I: Multiplicity problem and relation   to induced representations",
    "url": "https://arxiv.org/abs/quant-ph/0204119"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "101d999b-adcb-4aeb-a980-159b586c120b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}