{
  "annotation_id": "864b9c22-1393-4bab-bfe8-a80e2cfa8874",
  "date_created": "2026-03-02T18:01:28.701000Z",
  "date_modified": "2026-03-02T18:01:28.701000Z",
  "file_hash": "fe2f3d7e685ec0bf59a9f77ac7fcd52fb533cabdd97f3b78839c5b6b8baa044b",
  "private": false,
  "record": {
    "abstract": "We prove that row reducing a quantum matrix yields another quantum matrix for\nthe same parameter q. This means that the elements of the new matrix satisfy\nthe same relations as those of the original quantum matrix ring M_q(n). As a\ncorollary, we can prove that the image of the quantum determinant in the\nabelianization of the total ring of quotients of M_q(n) is equal to the\nDieudonne determinant of the quantum matrix. A similar result is proved for the\nmultiparameter quantum determinant.",
    "arxiv_id": "q-alg/9703003",
    "authors": [
      "Horia C. Pop"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "to appear in J. of Algebra",
    "title": "Row-reducing the quantum determinant and Dieudonne determinant",
    "url": "https://arxiv.org/abs/q-alg/9703003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "23bc6d5c-d8fa-4e7b-a2ca-3c0be3e5ec1c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}