{
  "abstract": "We give a new proof of the classification of unipotent representations for split finite groups of Lie type. To do this, we first construct an (infinity, 2)-categorification of Lusztig's map from the Hecke algebra to the asymptotic algebra. Then we use the theory of weights to show that it induces an isomorphism after applying trace of Frobenius.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39721",
  "author_total": 1,
  "authors": [
    {
      "name": "Wyatt Reeves"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aw1azhwccdw28.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39721",
  "fulltext_url": null,
  "id": "aw1azhwccdw28",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.39721",
  "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.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7215074515",
  "pdf_url": "https://arxiv.org/pdf/2609.39721",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aw1azhwccdw28.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2609.39721",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39721"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Unipotent representations and the categorical trace of Frobenius",
  "title_text": "Unipotent representations and the categorical trace of Frobenius",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/aw1azhwccdw28",
  "venue": "arXiv",
  "versions": []
}