{
  "abstract": "We give a direct characteristic-free construction of twisted Heisenberg-Weil representations when there are no symmetric and ramified roots. As a consequence, we show that twisted Yu's construction naturally extends to residual characteristic $2$. Moreover, we give a geometric realization of such twisted Heisenberg-Weil representations via the Deligne-Lusztig construction for Heisenberg group schemes. As an application, we give an explicit description of positive-depth parahoric Deligne-Lusztig induction in the generic case.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.03638",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuta Takaya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4ncvn33xwsmet.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.03638",
  "fulltext_url": null,
  "id": "4ncvn33xwsmet",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.03638",
  "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.AG"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
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  ],
  "openalex": "W7160404705",
  "pdf_url": "https://arxiv.org/pdf/2605.03638",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4ncvn33xwsmet.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2605.03638",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.03638"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Characteristic-free approaches around Yu's construction",
  "title_text": "Characteristic-free approaches around Yu's construction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/4ncvn33xwsmet",
  "venue": "arXiv",
  "versions": []
}