{
  "annotation_id": "5d07dbe6-6924-4756-8797-8f530db1e9aa",
  "date_created": "2026-03-02T18:01:27.866000Z",
  "date_modified": "2026-03-02T18:01:27.866000Z",
  "file_hash": "0d679b3e433d3e249c1e0b7bcc27d55227c574d31959f5b1a02a59e0618ce74b",
  "private": false,
  "record": {
    "abstract": "The dually conjugate Hopf algebras $Fun_{p,q}(R)$ and $U_{p,q}(R)$ associated\nwith the two-parametric $(p,q)$-Alexander-Conway solution $(R)$ of the\nYang-Baxter equation are studied. Using the Hopf duality construction, the full\nHopf structure of the quasitriangular enveloping algebra $U_{p,q}(R)$ is\nextracted. The universal ${\\cal T}$-matrix for $Fun_{p,q}(R)$ is derived. While\nexpressing an arbitrary group element of the quantum group characterized by the\nnoncommuting parameters in a representation independent way, the ${\\cal\nT}$-matrix generalizes the familiar exponential relation between a Lie group\nand its Lie algebra. The universal ${\\cal R}$-matrix and the FRT matrix\ngenerators, $L^{(\\pm )}$, for $U_{p,q}(R)$ are derived from the ${\\cal\nT}$-matrix.",
    "arxiv_id": "q-alg/9602020",
    "authors": [
      "R. Chakrabarti",
      "R. Jagannathan"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF02909182",
    "title": "The dual $(p,q)$-Alexander-Conway Hopf algebras and the associated   universal ${\\cal T}$-matrix",
    "url": "https://arxiv.org/abs/q-alg/9602020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cb34c40b-4c38-45d4-baf4-907d40014a1a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}