{
  "annotation_id": "a607d96c-d34d-4e9c-b5c0-125bbecb3cc2",
  "date_created": "2026-03-02T18:01:27.540000Z",
  "date_modified": "2026-03-02T18:01:27.540000Z",
  "file_hash": "6bcfca3329d54883045d4f58232c5b7eb2c4ccf953380d74af78b15471733fb6",
  "private": false,
  "record": {
    "abstract": "We study $N^2-1$ dimensional left-covariant differential calculi on the\nquantum group $SL_q(N)$ for which the generators of the quantum Lie algebras\nannihilate the quantum trace. In this way we obtain one distinguished calculus\non $SL_q(2)$ (which corresponds to Woronowicz\u0027 3D-calculus on $SU_q(2)$) and\ntwo distinguished calculi on $SL_q(3)$ such that the higher order calculi give\nthe ordinary differential calculus on $SL(2)$ and $SL(3)$, respectively, in the\nlimit $q\\rightarrow 1$. Two new differential calculi on $SL_q(3)$ are\nintroduced and developed in detail.",
    "arxiv_id": "q-alg/9601020",
    "authors": [
      "Konrad Schm\"udgen",
      "Axel Sch\"uler"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Left-Covariant Differential Calculi on SL_q(2) and SL_q(3)",
    "url": "https://arxiv.org/abs/q-alg/9601020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8c598a3a-b3b3-4056-9fe1-4b39061108eb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}