{
  "abstract": "In this paper, we give a complete classification, up to isomorphism, of 3-dimensional complex Novikov--Poisson algebras. As an application of the classification, we further prove that every 3-dimensional complex transposed Poisson algebra can be obtained from a Novikov--Poisson algebra except the Lie algebra $\\mathfrak{sl}_2(\\mathbb C)$. Consequently, Sartayev's conjecture holds in dimension 3, that is, every 3-dimensional complex transposed Poisson algebra is special when regarded as a GD algebra.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28686",
  "author_total": 4,
  "authors": [
    {
      "name": "Ziyi Zhang"
    },
    {
      "name": "Zeyu Hao"
    },
    {
      "name": "Yining Sun"
    },
    {
      "name": "Liangyun Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1egdbhkpc8kv4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28686",
  "fulltext_url": null,
  "id": "1egdbhkpc8kv4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28686",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.28686",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1egdbhkpc8kv4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.28686",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28686"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Classification of Novikov-Poisson Algebras and Their Applications",
  "title_text": "Classification of Novikov-Poisson Algebras and Their Applications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/1egdbhkpc8kv4",
  "venue": "arXiv",
  "versions": []
}