{
  "abstract": "We prove Hitchin's conjecture for $\\mathfrak{sl}_n$ in every odd prime degree. More precisely, let $p=2k+1$ be prime and let $n\\geq k+1$. Every nonzero primitive element $α\\inΛ^p(\\mathfrak{sl}_n^*)^{\\mathfrak{sl}_n}$ is nonzero on the top exterior power of the unique $p$-dimensional irreducible submodule of $\\mathfrak{sl}_n$ for the adjoint action of a principal $\\mathfrak{sl}_2$-subalgebra. The conjecture also holds for types $B_\\ell$ and $C_\\ell$, with $\\ell\\geq2$, in every prime degree $p=4r-1$ with $1\\leq r\\leq\\ell$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12118",
  "author_total": 1,
  "authors": [
    {
      "name": "Boming Jia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/da9rypzkpm9dw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12118",
  "fulltext_url": null,
  "id": "da9rypzkpm9dw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12118",
  "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.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7212503306",
  "pdf_url": "https://arxiv.org/pdf/2609.12118",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/da9rypzkpm9dw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2609.12118",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12118"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Hitchin's Conjecture for $\\mathfrak{sl}_n$ in Odd Prime Degree",
  "title_text": "Hitchin's Conjecture for sl_n in Odd Prime Degree",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/da9rypzkpm9dw",
  "venue": "arXiv",
  "versions": []
}