{
  "abstract": "We provide some information about the Drinfeld center $\\Z(\\Ver_p)$ of the Verlinde category $\\Ver_p$. We compute explicitly the graded Cartan matrix, bound quiver and cohomology of $\\Z(\\Ver_p^+)$, and prove that the category $\\mathscr{Z}(\\Ver_p^+)$ is wild for every $p\\ge 7$. In the special case $p=5$, we show that $\\Z(\\Ver_5^+)$ has exactly $10$ non-isomorphic indecomposable objects, classify them and describe the Green ring of $\\Z(\\Ver_5^+)$, and compute the semisimplification of $\\Z(\\Ver_5^+)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.20465",
  "author_total": 2,
  "authors": [
    {
      "name": "Shlomo Gelaki"
    },
    {
      "name": "Victor Ostrik"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1jm8h3wgmaqwq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.20465",
  "fulltext_url": null,
  "id": "1jm8h3wgmaqwq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.20465",
  "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.QA"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7204071217",
  "pdf_url": "https://arxiv.org/pdf/2608.20465",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1jm8h3wgmaqwq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2608.20465",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.20465"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the Drinfeld center of the Verlinde category $\\Ver_p$",
  "title_text": "On the Drinfeld center of the Verlinde category Ver_p",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/1jm8h3wgmaqwq",
  "venue": "arXiv",
  "versions": []
}