{
  "abstract": "We construct an adelic counterpart of Scheithauer's lifting map from scalar-valued modular forms to vector-valued modular forms transforming with the Weil representation. More precisely, we introduce suitable spaces of vector-valued adelic automorphic forms and define an adelic lifting map between the corresponding scalar-valued and vector-valued automorphic forms. We then prove that this adelic construction is compatible with Scheithauer's classical lifting map under adelization. In this way, the relation between scalar-valued and vector-valued modular forms is transferred naturally to the adelic setting.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: RIMS Kokyuroku 2354 (2026), 69-83",
  "arxiv": "2609.27609",
  "author_total": 1,
  "authors": [
    {
      "name": "Oliver Stein"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7d6qffecmezes.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27609",
  "fulltext_url": null,
  "id": "7d6qffecmezes",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.27609",
  "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"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.27609",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7d6qffecmezes.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.27609",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27609"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Construction of vector-valued adelic automorphic forms",
  "title_text": "Construction of vector-valued adelic automorphic forms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/7d6qffecmezes",
  "venue": "arXiv",
  "versions": []
}