{
  "abstract": "We prove that the algebra of multiple Eisenstein series is an $\\mathfrak{sl}_2$-algebra. In particular, we show that it is graded by weight, which also holds after taking complex linear spans. Further, we identify it as a graded $\\mathbb{Q}$-algebra with the associated graded algebra of $q$-analogues of multiple zeta values with respect to the weight filtration. The main ingredient is an estimate that compares the usual defining sums of multiple Eisenstein series with sums over a lattice order depending on an integer $N$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03777",
  "author_total": 2,
  "authors": [
    {
      "name": "Henrik Bachmann"
    },
    {
      "name": "Hayato Kanno"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/390s6z262w5eg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03777",
  "fulltext_url": null,
  "id": "390s6z262w5eg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03777",
  "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.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7208751549",
  "pdf_url": "https://arxiv.org/pdf/2609.03777",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/390s6z262w5eg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:36Z",
      "native_id": "2609.03777",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03777"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The $\\mathfrak{sl}_2$-algebra structure of multiple Eisenstein series",
  "title_text": "The sl_2-algebra structure of multiple Eisenstein series",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/390s6z262w5eg",
  "venue": "arXiv",
  "versions": []
}