{
  "annotation_id": "934d04d1-bab0-4240-8f16-e7356c106217",
  "date_created": "2026-03-02T18:01:28.522000Z",
  "date_modified": "2026-03-02T18:01:28.522000Z",
  "file_hash": "792521a72db396ecc1506bcaac2cbc97a438910f40450fa3543240bb5f8f8bbf",
  "private": false,
  "record": {
    "abstract": "For transcendental values of $q$ all bicovariant first order differential\ncalculi on the coordinate Hopf algebras of the quantum groups $SL_q(n+1)$ and\n$Sp_q(2n)$ are classified. It is shown that the irreducible bicovariant first\norder calculi are determined by an irreducible corepresentation of the quantum\ngroup and a complex number $\\zeta$ such that $\\zeta^{n+1}=1$ for $SL_q(n+1)$\nand $\\zeta^2=1$ for $Sp_q(2n)$. Any bicovariant calculus is inner and its\nquantum Lie algebra is generated by a central element. The main technical\ningredient is a result of the Hopf algebra $R(G_q)^0$ for arbitrary simple Lie\nalgebras.",
    "arxiv_id": "q-alg/9707032",
    "authors": [
      "I. Heckenberger",
      "K. Schmuedgen"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Classification of Bicovariant Differential Calculi on the Quantum Groups   $SL_q(n+1)$ and $Sp_q(2n)$",
    "url": "https://arxiv.org/abs/q-alg/9707032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1b5d3d04-82c4-4c38-aa29-08520328bb54",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}