{
  "abstract": "In this survey article, we give an introduction to the relatively young subject of $2$-representation theory, which studies categorifications of important players in classical representation theory. In particular, we provide a streamlined exposition of the main results leading to the classification of simple $2$-representations for Soergel bimodules associated to finite Weyl groups in characteristic $0$, obtained in [M. Mackaay, V. Mazorchuk, V. Miemietz, D. Tubbenhauer and X. Zhang, Simple transitive $2$-representations of Soergel bimodules for finite Coxeter types. Proc. London Math. Soc. 126 (2023)].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.19830",
  "author_total": 1,
  "authors": [
    {
      "name": "Vanessa Miemietz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/08yymjs3r78nt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.19830",
  "fulltext_url": null,
  "id": "08yymjs3r78nt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.19830",
  "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.CT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7203911837",
  "pdf_url": "https://arxiv.org/pdf/2608.19830",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/08yymjs3r78nt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2608.19830",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.19830"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Categorification in Representation Theory",
  "title_text": "Categorification in Representation Theory",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/08yymjs3r78nt",
  "venue": "arXiv",
  "versions": []
}