{
  "annotation_id": "ff739a1e-85c9-4150-8c46-53b3a6c1c465",
  "date_created": "2026-03-02T18:01:21.741000Z",
  "date_modified": "2026-03-02T18:01:21.741000Z",
  "file_hash": "785ea31e1070886b3d0a4b7d56e316bc953b112059f13e845ed35b1f6f0afe69",
  "private": false,
  "record": {
    "abstract": "A full set of Casimir operators for the Lie superalgebra $gl(m/\\infty)$ is\nconstructed and shown to be well defined in the category $O_{FS}$ generated by\nthe highest weight irreducible representations with only a finite number of\nnon-zero weight components. The eigenvalues of these Casimir operators are\ndetermined explicitly in terms of the highest weight. Characteristic identities\nsatisfied by certain (infinite) matrices with entries from $gl(m/\\infty)$ are\nalso determined.",
    "arxiv_id": "physics/9709033",
    "authors": [
      "M. D. Gould",
      "N. I. Stoilova"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/32/2/012",
    "journal_ref": "J.Phys.A32:391-399,1999",
    "title": "Eigenvalues of Casimir operators for $gl(m/\\infty)$",
    "url": "https://arxiv.org/abs/physics/9709033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "166734ec-a2bc-4caa-a722-26b87470c8d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}