{
  "abstract": "Let $K$ be a local field with absolute Galois group $G_{K}$ and let $k$ be a finite field of characteristic $p$. We prove that every continuous representation $G_K\\to \\operatorname{GL}_{n}(k)$ lifts to a continuous representation $G_K\\to\\operatorname{GL}_{n}(W(k))$ where $W(k)$ is the ring of infinite Witt vectors over $k$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38581",
  "author_total": 1,
  "authors": [
    {
      "name": "Yufan Luo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3zmxkw1g3532v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38581",
  "fulltext_url": null,
  "id": "3zmxkw1g3532v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38581",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38581",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3zmxkw1g3532v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38581",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38581"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Lifting mod $p$ Galois representations over local fields",
  "title_text": "Lifting mod p Galois representations over local fields",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/3zmxkw1g3532v",
  "venue": "arXiv",
  "versions": []
}