{
  "annotation_id": "f8010d56-688e-4aa9-a869-a930ff253e56",
  "date_created": "2026-03-02T18:01:24.706000Z",
  "date_modified": "2026-03-02T18:01:24.706000Z",
  "file_hash": "47be9a04338bfee12fbefc7de718c87f6391cd7c065b45310db605e839e43df8",
  "private": false,
  "record": {
    "abstract": "A finite-dimensional matrix representation of the Jackson $q$-differential\noperator $D_q$, defined by $D_qf(x)$ $=$ $(f(qx)-f(x))/(x(q-1))$, is written\ndown following Calogero. Such a representation of $D_q$ should have\napplications in $q$-analysis leading to the corresponding extensions of the\nnumerous results of Calogero\u0027s work.",
    "arxiv_id": "q-alg/9504021",
    "authors": [
      "R. Chakrabarti",
      "R. Jagannathan"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Finite-dimensional Calogero representation of the $q$-differential   operator",
    "url": "https://arxiv.org/abs/q-alg/9504021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "92efecde-d06e-487d-b498-68ad0b2e0ecb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}