{
  "abstract": "Let $p\\geq 5$, and let $F/\\mathbb{Q}_p$ be a nontrivial finite totally ramified extension. We construct a non-admissible smooth irreducible representation of $\\mathrm{GL}_2(F)$ over $\\overline{\\mathbb{F}}_p$. The construction uses representations of $\\mathrm{GL}_2(\\mathcal{O}_F)$ on which the first principal congruence subgroup acts nontrivially, together with a deformation of a diagram indexed by $\\mathbb{Z}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06056",
  "author_total": 1,
  "authors": [
    {
      "name": "Dayu Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f398w5c0zf31j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06056",
  "fulltext_url": null,
  "id": "f398w5c0zf31j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06056",
  "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"
    ],
    [
      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06056",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f398w5c0zf31j.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06056",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06056"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Non-admissible smooth irreducible representations of $\\mathrm{GL}_2(F)$ for totally ramified extensions $F/\\mathbb{Q}_p$",
  "title_text": "Non-admissible smooth irreducible representations of GL_2(F) for totally ramified extensions F/ℚ_p",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/f398w5c0zf31j",
  "venue": "arXiv",
  "versions": []
}