{
  "abstract": "FINDING: The core mathematical result is the construction of a unique, largest Lie subalgebra canonically associated to any Malcev algebra, enabling structure theory via Lie algebra methods. | MATH: Malcev algebra identity: \\( (xy)z + (yz)x + (zx)y = (xz)(yt) \\) (alternating form); the largest Lie subalgebra \\( L(M) \\subseteq M \\) satisfies \\( [x,y] = xy \\) for \\( x,y \\in L(M) \\), with \\( L(M) \\) being the maximal Lie subalgebra under inclusion. The paper (arXiv:2406.14592v2) proves \\( L(M) \\) is unique and functorial, and uses it to classify certain Malcev algebras via their Lie radical. | CONNECTION: Malcev algebras arise from the commutator of alternative algebras — and alternative algebras are intimately tied to octonions, whose automorphism group \\( G_2 \\) is a crystallographic root system (14 roots, hexagonal symmetry). The largest Lie subalgebra construction mirrors the reduction of \\( G_2 \\) to its \\( SU(3) \\) maximal torus structure — a base-60 compatible hexagonal lattice (60\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8d9q3sb730ack.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635477",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8d9q3sb730ack.ris",
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      "first_seen": "2026-11-08T12:21:54Z",
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  "title": "Canonical Largest Lie Subalgebra of Malcev Algebras — E8 Intelligence Research",
  "title_text": "Canonical Largest Lie Subalgebra of Malcev Algebras — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:54Z",
  "url": "https://research.draconitic.com/paper/8d9q3sb730ack",
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