{
  "abstract": "For a $p$-adic field of any residual characteristic, we determine irreducible decompositions of the Weil representation restricted to the maximal open compact subgroups and the Iwahori subgroup by using the Schrödinger model. In particular, these decompositions show that the restrictions are multiplicity free.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25045",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuta Takahashi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bvvpr80mhjh6c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25045",
  "fulltext_url": null,
  "id": "bvvpr80mhjh6c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25045",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7214105031",
  "pdf_url": "https://arxiv.org/pdf/2609.25045",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bvvpr80mhjh6c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.25045",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25045"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "An irreducible decomposition of the Weil representation restricted to open compact subgroups",
  "title_text": "An irreducible decomposition of the Weil representation restricted to open compact subgroups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/bvvpr80mhjh6c",
  "venue": "arXiv",
  "versions": []
}