{
  "abstract": "Let $p,q\\ge 2$ be coprime, set $k=-2+p/q$, $k'=-2+q/p$, and let $c_{p,q}=1-6(p-q)^2/(pq)$. We prove that the McRae--Yang functors $F_{p,q}\\colon KL^k(\\mathfrak{sl}_2)\\to\\mathcal O_{c_{p,q}}$ and $F_{q,p}\\colon KL^{k'}(\\mathfrak{sl}_2)\\to\\mathcal O_{c_{p,q}}$ are exact and faithful, and, as $\\mathbb C$-linear functors, are naturally isomorphic to the corresponding principal quantum Drinfeld--Sokolov reductions. Their restrictions to projective objects are fully faithful.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.13869",
  "author_total": 1,
  "authors": [
    {
      "name": "Shun Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/azvfdw54p0cgj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.13869",
  "fulltext_url": null,
  "id": "azvfdw54p0cgj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.13869",
  "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",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7203648229",
  "pdf_url": "https://arxiv.org/pdf/2608.13869",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/azvfdw54p0cgj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2608.13869",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.13869"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Exactness and Drinfeld-Sokolov Realization of the McRae-Yang Tensor Functors",
  "title_text": "Exactness and Drinfeld-Sokolov Realization of the McRae-Yang Tensor Functors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/azvfdw54p0cgj",
  "venue": "arXiv",
  "versions": []
}