{
  "annotation_id": "8cd2eaee-e96f-4c3e-9c3f-866ae2847caa",
  "date_created": "2026-03-02T18:01:27.865000Z",
  "date_modified": "2026-03-02T18:01:27.865000Z",
  "file_hash": "b912921e25a0a9d21e83fd2021370c0bd77a04be432066e716685418536ece0d",
  "private": false,
  "record": {
    "abstract": "We consider remarkable central elements of the universal enveloping algebra\nof the general linear algebra which we call quantum immanants. We express them\nin terms of generators $E_{ij}$ and as differential operators on the space of\nmatrices. These expressions are a direct generalization of the classical\nCapelli identities. They result in many nontrivial properties of quantum\nimmanants.",
    "arxiv_id": "q-alg/9602028",
    "authors": [
      "Andrei Okounkov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Transformation Groups, 1 (1996), 99--126",
    "title": "Quantum Immanants and Higher Capelli Identities",
    "url": "https://arxiv.org/abs/q-alg/9602028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "73f7e3b0-c7c5-477e-9c13-f90dc8b9e394",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}