{
  "abstract": "We show that locally finite Abelian module categories over the affine Brauer category are the same thing as locally finite Abelian 2-representations of a certain 2-iquantum group satisfying some additional nilpotency and finiteness properties. Our results are valid over algebraically closed fields of characteristic other than 2 and for arbitrary spectra. This extends recent work of Gao, Rui and Song, who treated characteristic 0 with half-integral spectrum. The relevant Satake diagrams are of quasi-split type AIII and of diagonal type A, including affine types in positive characteristic. The key step in our approach identifies the affine Brauer category with a topologically dense monoidal subcategory of a completion of the 2-iquantum group. As an application, we show that deformed cyclotomic quotients on the two sides are equivalent.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25922",
  "author_total": 3,
  "authors": [
    {
      "name": "Jonathan Brundan"
    },
    {
      "name": "Alistair Savage"
    },
    {
      "name": "Ben Webster"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e451b36ssgzvx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25922",
  "fulltext_url": null,
  "id": "e451b36ssgzvx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25922",
  "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.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7223039156",
  "pdf_url": "https://arxiv.org/pdf/2610.25922",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e451b36ssgzvx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25922",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25922"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Brauer and iquantum categorification",
  "title_text": "Brauer and iquantum categorification",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/e451b36ssgzvx",
  "venue": "arXiv",
  "versions": []
}