{
  "annotation_id": "903812d2-74b9-4dc7-8f8e-e21c6e486e23",
  "date_created": "2026-03-02T18:01:28.482000Z",
  "date_modified": "2026-03-02T18:01:28.482000Z",
  "file_hash": "fa69a5c98a86532983c03030259e4b2fe23133ec35c741879f5e17f71fee8d4e",
  "private": false,
  "record": {
    "abstract": "A two-parametric generalization of the Jordanian deformation $U_h (sl(2))$ of\n$sl(2)$ is presented. This involves Jacobian elliptic functions. In our\ndeformation $U_{(h,k)}(sl(2))$, for $k^2=1$ one gets back $U_h(sl(2))$. The\nconstuction is presented via a nonlinear map on $sl(2)$. This invertible map\ndirectly furnishes the highest weight irreducible representations of\n$U_{(h,k)}(sl(2))$. This map also provides two distinct induced Hopf stuctures,\nwhich are exhibited. One is induced by the classical $sl(2)$ and the other by\nthe distinct one of $U_h(sl(2))$. Automorphisms related to the two periods of\nthe elliptic functions involved are constructed. Translations of one generator\nby half and quarter periods lead to interesting results in this context.\nPossibilities of applications are discussed briefly.",
    "arxiv_id": "q-alg/9611015",
    "authors": [
      "A. Chakrabarti"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "A Generalization of $U_h(sl(2))$ via Jacobian Elliptic Function",
    "url": "https://arxiv.org/abs/q-alg/9611015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7626b7e1-a9bf-4538-a65b-4e61af28a8e7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}