{
  "abstract": "In this article, we prove that every split simple Chevalley Lie algebra over a finite field of characteristic $p\\neq 2$ of classical types $B_n$, $C_n$, and $D_n$, and exceptional types $G_2$, $F_4$, $E_6$, $E_7$, and $E_8$, is $2$-generated. Combined with the result of Cantor, Jezernik, and Zozaya for the classical type $A_n$ [Two-generation of traceless matrices over finite fields, Linear Algebra Appl. (2025)], this establishes $2$-generation for all split simple Chevalley Lie algebras over finite fields of characteristic $p\\neq 2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35537",
  "author_total": 3,
  "authors": [
    {
      "name": "Ram Karan Choudhary"
    },
    {
      "name": "Harish Kishnani"
    },
    {
      "name": "Anupam Singh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/425p9ex4g40dj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35537",
  "fulltext_url": null,
  "id": "425p9ex4g40dj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35537",
  "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.GR"
    ],
    [
      "arxiv",
      "math.RA"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7223934219",
  "pdf_url": "https://arxiv.org/pdf/2610.35537",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/425p9ex4g40dj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.35537",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35537"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "2-generation of Chevalley Lie algebras over finite fields",
  "title_text": "2-generation of Chevalley Lie algebras over finite fields",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/425p9ex4g40dj",
  "venue": "arXiv",
  "versions": []
}