{
  "abstract": "Every diagrammatic Hecke category is constructed from a realization, which generalizes the notion of a reflection representation of a Coxeter group. Common assumptions on realizations to ensure that the resulting categories are well behaved include Demazure surjectivity and the parabolic property (for anti-spherical quotients). We show that these assumptions are in fact unnecessary. We also give a non-inductive description of the rotational scalars for unbalanced realizations, as well as a simpler criterion to check for balancedness.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.02187",
  "author_total": 1,
  "authors": [
    {
      "name": "Amit Hazi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2939asefyg5dm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.02187",
  "fulltext_url": null,
  "id": "2939asefyg5dm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.02187",
  "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": "W7172393450",
  "pdf_url": "https://arxiv.org/pdf/2608.02187",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2939asefyg5dm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2608.02187",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.02187"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Some remarks on realizations defining diagrammatic Hecke categories",
  "title_text": "Some remarks on realizations defining diagrammatic Hecke categories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/2939asefyg5dm",
  "venue": "arXiv",
  "versions": []
}