{
  "annotation_id": "7bf03d75-c09a-404c-89bd-f8d96053abd8",
  "date_created": "2026-03-02T18:01:28.813000Z",
  "date_modified": "2026-03-02T18:01:28.813000Z",
  "file_hash": "f124a7c8e3779709d065fe86e86ffff7d7cc486f89295e8c6a42652e333b1399",
  "private": false,
  "record": {
    "abstract": "We propose an algebraic scheme for quantizing the rational\nRuijsenaars-Schneider model in the R-matrix formalism. We introduce a special\nparameterization of the cotangent bundle over GL(N,C). In new variables the\nstandard symplectic structure is described by a classical (Frobenius) r-matrix\nand by a new dynamical $\\bar{r}$-matrix. Quantizing both of them we find the\nquantum L-operator algebra and construct its particular representation\ncorresponding to the rational Ruijsenaars-Schneider system. Using the dual\nparameterization of the cotangent bundle we also derive the algebra for the\nL-operator of the trigonometric Calogero-Moser system.",
    "arxiv_id": "q-alg/9610009",
    "authors": [
      "G. E. Arutyunov",
      "S. A. Frolov"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA",
      "nlin.SI",
      "solv-int"
    ],
    "title": "Quantum Dynamical R-matrices and Quantum Frobenius Group",
    "url": "https://arxiv.org/abs/q-alg/9610009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b1bd127e-dcd7-4f05-b9a3-35dd7ac9d72c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}