{
  "abstract": "We introduce the notion of factorizable Lie conformal bialgebras and establish their correspondence with quadratic Rota-Baxter Lie conformal algebras of nonzero weight. Consequently, on the one hand, a Lie conformal bialgebra with a Rota-Baxter operator of nonzero weight gives a factorizable Lie conformal bialgebra. And on the other hand, as the conformal analogue of the fact that a quadratic Rota-Baxter Lie algebra induces a generalized pseudo-Hessian post-Lie algebra and a special partial-pre-post-Lie algebra, a quadratic Rota-Baxter Lie conformal algebra as well as a factorizable Lie conformal bialgebra induces a generalized pseudo-Hessian post-Lie conformal algebra and a special partial-pre-post-Lie conformal algebra. Furthermore, we generalize the correspondence between Gel'fand-Dorfman bialgebras and a class of Lie conformal bialgebras to the factorizable cases. There is not only a correspondence between factorizable Gel'fand-Dorfman bialgebras and a class of factorizable Lie conformal bialgebras, but also a correspondence for their corresponding quadratic Rota-Baxter counterparts as well as some induced structures. In particular, there is a construction of factorizable Lie conformal bialgebras from Gel'fand-Dorfman bialgebras with a Rota-Baxter operator of nonzero weight.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28011",
  "author_total": 3,
  "authors": [
    {
      "name": "Zhongyin Xu"
    },
    {
      "name": "Chengming Bai"
    },
    {
      "name": "Yanyong Hong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6577hz9f2bx1c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28011",
  "fulltext_url": null,
  "id": "6577hz9f2bx1c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28011",
  "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.RA"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7214190592",
  "pdf_url": "https://arxiv.org/pdf/2609.28011",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6577hz9f2bx1c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.28011",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28011"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Factorizable Lie conformal bialgebras, quadratic Rota-Baxter Lie conformal algebras and some induced structures",
  "title_text": "Factorizable Lie conformal bialgebras, quadratic Rota-Baxter Lie conformal algebras and some induced structures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/6577hz9f2bx1c",
  "venue": "arXiv",
  "versions": []
}