{
  "abstract": "In this paper, we construct the canonical basis for the modified mirabolic quantum $\\mathfrak{sl}_n$. We then study the associated $\\dot{U}_v(\\mathfrak{sl}_n)$-module and $\\dot{U}_v(\\mathfrak{sl}_n)$-comodule structures and prove the positivity of this basis with respect to these two structures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39010",
  "author_total": 3,
  "authors": [
    {
      "name": "Zhaobing Fan"
    },
    {
      "name": "Haitao Ma"
    },
    {
      "name": "Zhicheng Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d5jxpn8a8j9sf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39010",
  "fulltext_url": null,
  "id": "d5jxpn8a8j9sf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39010",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.QA"
    ],
    [
      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39010",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d5jxpn8a8j9sf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.39010",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39010"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Positivity of the Mirabolic Quantum Groups",
  "title_text": "Positivity of the Mirabolic Quantum Groups",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/d5jxpn8a8j9sf",
  "venue": "arXiv",
  "versions": []
}