{
  "abstract": "In [Internat. J. Theoret. Phys. 64 (2025), 73, 10 pages], Fritz was motivated by the structure of Hamiltonian/Heisenberg mechanics to define the notion of ''Lie quandle'', which he argued is a nonlinear generalization of finite-dimensional real Lie algebras. In this article, we will investigate a linear/nonlinear correspondence to which Fritz's is a special case, classify a family of generalizations of these objects, as well as describe some results in the direction of a nonlinear analogue of Noether's first theorem first described by Fritz.",
  "abstract_shown": true,
  "affiliations": [
    "University of South Florida, USA"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Mohamed Elhamdadi"
    },
    {
      "affs": [
        0
      ],
      "name": "Bryce Virgin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bq6xzxaawd5c3.bib",
  "cited_by": 0,
  "doi": "10.3842/sigma.2026.096",
  "fulltext_url": null,
  "id": "bq6xzxaawd5c3",
  "issns": [
    "1815-0659"
  ],
  "landing_url": "https://sigma-journal.com/2026/096/",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7155063880",
  "pdf_url": "https://sigma-journal.com/2026/096/sigma26-096.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": "SIGMA (Symmetry, Integrability and Geometry: Methods and Application)",
  "ris": "https://research.draconitic.com/paper/bq6xzxaawd5c3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:27Z",
      "native_id": "10.3842/sigma.2026.096",
      "source": "crossref",
      "url": "https://sigma-journal.com/2026/096/"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Advanced Topics in Algebra",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Lie Quandles, Leibniz Racks and Noether's First Theorem",
  "title_text": "Lie Quandles, Leibniz Racks and Noether's First Theorem",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:27Z",
  "url": "https://research.draconitic.com/paper/bq6xzxaawd5c3",
  "venue": "Symmetry, Integrability and Geometry: Methods and Applications",
  "versions": []
}