{
  "abstract": "We construct an $\\mathfrak{sl}_2$-action by derivations on the Lie algebra $\\mathfrak B$ of swap invariant alternil bimoulds with the uri bracket of Kühn and Schneps. This Lie algebra plays the role for formal multiple Eisenstein series which Racinet's double shuffle Lie algebra $\\mathfrak{dm}_0$ plays for multiple zeta values. The kernel $\\mathfrak m$ of the lowering operator is a Lie subalgebra, $\\mathfrak B$ is the direct sum of its iterates under the raising operator, and this gives Rankin-Cohen type operators on $\\mathfrak m$. We define a Lie subalgebra $\\mathfrak d$ of $\\mathfrak B$ and show that it is isomorphic to $\\mathfrak{dm}_0$ extended by an additional element in weight one.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02137",
  "author_total": 1,
  "authors": [
    {
      "name": "Henrik Bachmann"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fps3p1n6rk4m7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02137",
  "fulltext_url": null,
  "id": "fps3p1n6rk4m7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02137",
  "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.NT"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7207785400",
  "pdf_url": "https://arxiv.org/pdf/2609.02137",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fps3p1n6rk4m7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.02137",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02137"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "An $\\mathfrak{sl}_2$-action on the uri Lie algebra",
  "title_text": "An sl_2-action on the uri Lie algebra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/fps3p1n6rk4m7",
  "venue": "arXiv",
  "versions": []
}