{
  "annotation_id": "ca90b806-122a-4d7a-940e-ab26c80b9645",
  "date_created": "2026-03-02T18:01:25.403000Z",
  "date_modified": "2026-03-02T18:01:25.403000Z",
  "file_hash": "a4630637fc11c43b6bcaf27dbf170bb44200b186a7086bb68b5aa550d1141e78",
  "private": false,
  "record": {
    "abstract": "General algebraic properties of the algebras of vector fields over quantum\nlinear groups $GL_q(N)$ and $SL_q(N)$ are studied. These quantum algebras\nappears to be quite similar to the classical matrix algebra. In particular,\nquantum analogues of the characteristic polynomial and characteristic identity\nare obtained for them. The $q$-analogues of the Newton relations connecting two\ndifferent generating sets of central elements of these algebras (the\ndeterminant-like and the trace-like ones) are derived. This allows one to\nexpress the $q$-determinant of quantized vector fields in terms of their\n$q$-traces.",
    "arxiv_id": "q-alg/9502012",
    "authors": [
      "P. Pyatov",
      "P. Saponov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/28/15/020",
    "title": "Characteristic Relations for Quantum Matrices",
    "url": "https://arxiv.org/abs/q-alg/9502012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd5742e4-b805-452d-9aa7-6d1a9215efca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}