{
  "abstract": "Let $q=p^k$ be prime power, let $F= \\mathbb{F}_q$ and let $V$ be the vector space of 2 by 2 matrices over $F$ with trace zero. Let $G = \\mathrm{SL}_2(F)$. Then $G$ acts on $V$ via conjugation. Let $Ω= S(V^*) \\otimes Λ(V^*)$ be the algebra of differential forms on $V$. A minimal generating set for $Ω^G$ when $q=3$ was computed by the author and Meyer. In this article we compute a minimal generating set for $Ω^G$ for all $q$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28195",
  "author_total": 1,
  "authors": [
    {
      "name": "Jonathan Elmer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f45kwvpg9sa4e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28195",
  "fulltext_url": null,
  "id": "f45kwvpg9sa4e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28195",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AC"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7214173684",
  "pdf_url": "https://arxiv.org/pdf/2609.28195",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f45kwvpg9sa4e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2609.28195",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28195"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Conjugation Differential Invariants of $\\mathrm{SL}_2(\\mathbb{F}_q)$ on trace-free matrices",
  "title_text": "Conjugation Differential Invariants of SL_2(𝔽_q) on trace-free matrices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/f45kwvpg9sa4e",
  "venue": "arXiv",
  "versions": []
}