{
  "annotation_id": "2103e64f-7fb6-4e81-b246-1ee5b2c5049c",
  "date_created": "2026-03-02T18:01:24.964000Z",
  "date_modified": "2026-03-02T18:01:24.964000Z",
  "file_hash": "60cd8d4e182c48caeafab891c7605381172a0522b9088168188f1bb793cbf998",
  "private": false,
  "record": {
    "abstract": "Quantum Lie algebras $\\qlie{g}$ are non-associative algebras which are\nembedded into the quantized enveloping algebras $U_q(g)$ of Drinfeld and Jimbo\nin the same way as ordinary Lie algebras are embedded into their enveloping\nalgebras. The quantum Lie product on $\\qlie{g}$ is induced by the quantum\nadjoint action of $U_q(g)$. We construct the quantum Lie algebras associated to\n$U_q(gl_n)$ and $U_q(sl_n)$. We determine the structure constants and the\nquantum root systems, which are now functions of the quantum parameter $q$.\nThey exhibit an interesting duality symmetry under $q\\leftrightarrow 1/q$.",
    "arxiv_id": "q-alg/9508013",
    "authors": [
      "Gustav W. Delius",
      "Mark D. Gould",
      "Andreas H\u00fcffmann",
      "Yao-Zhong Zhang"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/29/17/031",
    "journal_ref": "J.Phys.A29:5611-5618,1996",
    "title": "Quantum Lie algebras associated to $U_q(gl_n)$ and $U_q(sl_n)$",
    "url": "https://arxiv.org/abs/q-alg/9508013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0cd22ac6-1f8b-499a-a091-49f078b132dc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}