{
  "abstract": "We study $δ$-derivations of the finite-dimensional perfect Lie algebra $\\mathfrak{saff}_{n+1}=\\mathfrak{sl}_{n+1}(\\mathbb{C})\\ltimes\\mathbb{C}^{n+1}$, where $\\mathbb{C}^{n+1}$ is the natural $\\mathfrak{sl}_{n+1}(\\mathbb{C})$-module. For $n>1$ and $δ\\ne1$, we prove that every nonzero $δ$-derivation occurs at $δ=\\frac12$ and is a scalar multiple of the identity. For $n=1$, we explicitly describe the four-dimensional space of $(-2)$-derivations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37027",
  "author_total": 2,
  "authors": [
    {
      "name": "Kazbek Nuratdinov"
    },
    {
      "name": "Rustamjon G'aybullaev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8hv86xqgf76rh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37027",
  "fulltext_url": null,
  "id": "8hv86xqgf76rh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37027",
  "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"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7224081310",
  "pdf_url": "https://arxiv.org/pdf/2610.37027",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8hv86xqgf76rh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.37027",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37027"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On δ-derivations of \\mathfrak{saff}_{n+1}",
  "title_text": "On δ-derivations of \\mathfrak{saff}_{n+1}",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/8hv86xqgf76rh",
  "venue": "arXiv",
  "versions": []
}