{
  "annotation_id": "20db3061-667f-4fb0-a6ab-c1768ec4eb0a",
  "date_created": "2026-03-02T18:01:27.550000Z",
  "date_modified": "2026-03-02T18:01:27.550000Z",
  "file_hash": "c66d59696f095ffe97b6c7e4b3f9b4c1dc9b90878331732ce8fe17e20efdf491",
  "private": false,
  "record": {
    "abstract": "Inspired by Reshetikhin\u0027s twisting procedure to obtain multiparametric\nextensions of a Hopf algebra, a general `symmetry transformation\u0027 of the\n`particle conserving\u0027 $R$-matrix is found such that the resulting\nmultiparametric $R$-matrix, with a spectral parameter as well as a colour\nparameter, is also a solution of the Yang-Baxter equation (YBE). The\ncorresponding transformation of the quantum YBE reveals a new relation between\nthe associated quantized algebra and its multiparametric deformation. As\napplications of this general relation to some particular cases, multiparametric\nand coloured extensions of the quantum group $GL_q(N)$ and the Yangian algebra\n$Y(gl_N)$ are investigated and their explicit realizations are also discussed.\nPossible interesting physical applications of such extended Yangian algebras\nare indicated.",
    "arxiv_id": "q-alg/9511028",
    "authors": [
      "B. Basu-Mallick",
      "P. Ramadevi",
      "R. Jagannathan"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1142/S0217751X97000700",
    "journal_ref": "Int.J.Mod.Phys. A12 (1997) 945-962",
    "title": "Multiparametric and coloured extensions of the quantum group $GL_q(N)$   and the Yangian algebra $Y(gl_N)$ through a symmetry transformation of the   Yang-Baxter equation",
    "url": "https://arxiv.org/abs/q-alg/9511028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8f3e78c6-4630-4ce9-a16c-093d4ba187a0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}