{
  "annotation_id": "552ac75f-1968-407c-977d-d72cccddfb44",
  "date_created": "2026-03-02T18:01:25.355000Z",
  "date_modified": "2026-03-02T18:01:25.355000Z",
  "file_hash": "a532e4ec29966cdc274e1905d6ab4564c05e9e8af5bb51eb169900e8f5265b69",
  "private": false,
  "record": {
    "abstract": "Let $ \\Bbb V = \\coprod_{h = 0}^{\\infty} \\Bbb V_h$ be the graded monster\nmodule of the monster simple group $\\Bbb M$ and let $\\chi_k$ be an irreducible\nrepresentation of $\\Bbb M$. The generating function of $c_{hk}$ (the\nmultiplicity of $\\chi_k$ in $\\Bbb V_h$) is determined. Furthermore, the\ninvariance group of the modular function associated with the generating\nfunction is also determined in this paper.",
    "arxiv_id": "q-alg/9412013",
    "authors": [
      "Koichiro Harada",
      "Mong Lung Lang"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "The McKay-Thompson series associated with the irreducible characters of   the Monster",
    "url": "https://arxiv.org/abs/q-alg/9412013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e2d237f9-63c0-4f72-9759-78d433bd2cdc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}