{
  "annotation_id": "dbae23eb-33f2-4136-a565-3e75bd8b95b0",
  "date_created": "2026-03-02T18:01:28.479000Z",
  "date_modified": "2026-03-02T18:01:28.479000Z",
  "file_hash": "8c02688d501dfca56c9eff2ff90407e60a896fbc7ac61eb4cae7d7e2004c2075",
  "private": false,
  "record": {
    "abstract": "A two parametric deformation of the enveloping Heisenberg algebra ${\\cal\nH}(4)$ which appear as a combination of the standard and a nonstandard\nquantization given by Ballesteros and Herranz is defined and proved to be\nRibbon Hopf algebra. The universal ${\\cal R}$-matrix and its associated quantum\ngroup are constructed. New solution of Braid group are obtained. The\ncontribution of these parameters in invariants of links and WZW model are\nanalyzed. General results for twisted Ribbon Hopf algebra are derived.",
    "arxiv_id": "q-alg/9610021",
    "authors": [
      "Boucif Abdesselam"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1063/1.532201",
    "title": "The Twisted Heisenberg Algebra ${\\cal U}_{h,w}({\\cal H}(4))$",
    "url": "https://arxiv.org/abs/q-alg/9610021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f3f8af1a-c5d7-45a9-99f8-23a6d41b4f4c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}