{
  "abstract": "Following an idea of Demarche and using computer calculations of the authors and ideas of the LLM Claude Fable 5, we construct an explicit 10-dimensional complex two-step nilpotent Lie algebra that is isomorphic to its complex conjugate but cannot be defined over the field of real numbers R.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.19513",
  "author_total": 3,
  "authors": [
    {
      "name": "Mikhail Borovoi"
    },
    {
      "name": "Willem A. de Graaf"
    },
    {
      "name": "Robert M. Guralnick"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/09geqzyyh241p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.19513",
  "fulltext_url": null,
  "id": "09geqzyyh241p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.19513",
  "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.RA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7170131556",
  "pdf_url": "https://arxiv.org/pdf/2607.19513",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/09geqzyyh241p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2607.19513",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.19513"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals",
  "title_text": "Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/09geqzyyh241p",
  "venue": "arXiv",
  "versions": []
}