{
  "abstract": "Let Gamma be an additive abelian group with a commutative factor omega. We describe the simple and untwisted affine Lie colour algebras which admit a Cartan - Weyl description. For both classes, we construct the quantised universal enveloping colour algebras, and establish their quasi-triangular Hopf colour algebraic structure. These colour quantum groups generalise the Drinfeld - Jimbo quantum groups, which are recovered when Gamma is trivial. They provide an algebraic foundation for investigations in knot theory and soluble models in statistical mechanics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.02202",
  "author_total": 1,
  "authors": [
    {
      "name": "R. B. Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/46tmhp7tv9ts8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.02202",
  "fulltext_url": null,
  "id": "46tmhp7tv9ts8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.02202",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.QA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.02202",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/46tmhp7tv9ts8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2606.02202",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.02202"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Quantum groups of Lie colour algebras fulfilling the Cartan-Weyl paradigm",
  "title_text": "Quantum groups of Lie colour algebras fulfilling the Cartan-Weyl paradigm",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/46tmhp7tv9ts8",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.geomphys.2026.106008",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}