{
  "annotation_id": "f5b99e7d-7b57-4b55-be5b-e2c4247a691c",
  "date_created": "2026-03-02T18:01:27.748000Z",
  "date_modified": "2026-03-02T18:01:27.748000Z",
  "file_hash": "a845a92c0a3896fdcd78063bb430e32a4f763225b3999d317075dce40a0ebe86",
  "private": false,
  "record": {
    "abstract": "Given a Hecke symmetry $R$, one can define a matrix bialgebra $E_R$ and a\nmatrix Hopf algebra $H_R$, which are called function rings on the matrix\nquantum semi-group and matrix quantum groups associated to $R$. We show that\nfor an even Hecke symmetry, the rational representations of the corresponding\nquantum group are absolutely reducible and that the fusion coefficients of\nsimple representations depend only on the rank of the Hecke symmetry. Further\nwe compute the quantum rank of simple representations. We also show that the\nquantum semi-group is ``Zariski\u0027\u0027 dense in the quantum group. Finally we give a\nformula for the integral.",
    "arxiv_id": "q-alg/9708007",
    "authors": [
      "Phung Ho Hai"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "On Matrix Quantum Groups of type $A_n$",
    "url": "https://arxiv.org/abs/q-alg/9708007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2cd65e8e-0042-42cd-84b9-358a80c8965e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}