{
  "abstract": "In this work, we study the Hamiltonian reduction, used in constructing finite rectangular $W$-algebras, of the big-cell differential realization of $\\mathfrak{gl}_{np}$. We establish an intrinsic factorization of the reduced differential realization, identifying its Yangian action with the coproduct action on a tensor product of $n$ evaluation differential realizations of $\\mathfrak{gl}_p$. Corner quasideterminants provide the essential noncommutative mechanism through which Hamiltonian reduction transforms the higher-rank differential realization into a factorized lower-rank Yangian action.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31794",
  "author_total": 2,
  "authors": [
    {
      "name": "Sergey Derkachov"
    },
    {
      "name": "Daniil Getta"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8hc8k0gjzxyc0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31794",
  "fulltext_url": null,
  "id": "8hc8k0gjzxyc0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31794",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7223704619",
  "pdf_url": "https://arxiv.org/pdf/2610.31794",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8hc8k0gjzxyc0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.31794",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31794"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Quasideterminants and differential realizations of W-algebras",
  "title_text": "Quasideterminants and differential realizations of W-algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/8hc8k0gjzxyc0",
  "venue": "arXiv",
  "versions": []
}