{
  "abstract": "We extend the setup of Lai-Nakano-Xiang's quantum wreath product algebras to symmetric monoidal categories and deformed braid relations. Under some mild assumptions, we drastically simplify the criterion for such algebras to have PBW basis; curiously, the new criterion is phrased in terms of associative and quantum Yang-Baxter equations. As an application, we clean up some basis results in the existing literature, and propose a certain generalization of quiver Hecke algebras.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02765",
  "author_total": 1,
  "authors": [
    {
      "name": "Alexandre Minets"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1687nvh31yx57.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02765",
  "fulltext_url": null,
  "id": "1687nvh31yx57",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02765",
  "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.QA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
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  "openalex": "W7207656735",
  "pdf_url": "https://arxiv.org/pdf/2609.02765",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1687nvh31yx57.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2609.02765",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02765"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Quantum wreath products and Yang-Baxter equations",
  "title_text": "Quantum wreath products and Yang-Baxter equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/1687nvh31yx57",
  "venue": "arXiv",
  "versions": []
}