{
  "abstract": "We prove that adjacency algebras of Jordan schemes over fields of characteristic zero are semisimple. We then classify the adjacency algebras of thin Jordan schemes over the fields of real numbers or complex numbers. The simple summands of the adjacency algebras over these fields are restricted to specific types of simple Jordan algebras.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07527",
  "author_total": 2,
  "authors": [
    {
      "name": "Yudai Ohisa"
    },
    {
      "name": "Kyohei Yanagisawa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/93p976r0q7mxn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07527",
  "fulltext_url": null,
  "id": "93p976r0q7mxn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07527",
  "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.CO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07527",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/93p976r0q7mxn.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07527",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07527"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Structure of adjacency algebras of thin Jordan schemes",
  "title_text": "Structure of adjacency algebras of thin Jordan schemes",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:47Z",
  "url": "https://research.draconitic.com/paper/93p976r0q7mxn",
  "venue": "arXiv",
  "versions": []
}