{
  "abstract": "We give short purely combinatorial proofs for certain formulae relating the size of an $l$-partition with the one of its $e$-quotient in the sense of Uglov. We deduce a way to compute the size of the $e$-core of multipartitions and the $e$-weight of a multipartition. All these multipartitions naturally appear in the context of level-rank duality for Ariki-Koike algebras and Cherednik algebras.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Nicolas Jacon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/erw6gna50hm90.bib",
  "cited_by": 0,
  "doi": "10.37236/14190",
  "fulltext_url": null,
  "id": "erw6gna50hm90",
  "issns": [
    "1077-8926"
  ],
  "landing_url": "https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p34",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://www.combinatorics.org/ojs/index.php/eljc/article/download/v33i4p34/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-06",
  "publisher": "The Electronic Journal of Combinatorics",
  "ris": "https://research.draconitic.com/paper/erw6gna50hm90.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:20:56Z",
      "native_id": "10.37236/14190",
      "source": "crossref",
      "url": "https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p34"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:1077-8926",
      "subfield": "combinatorics"
    }
  ],
  "title": "Size of Multipartitions through Level-Rank Duality",
  "title_text": "Size of Multipartitions through Level-Rank Duality",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T00:21:33Z",
  "url": "https://research.draconitic.com/paper/erw6gna50hm90",
  "venue": "The Electronic Journal of Combinatorics",
  "versions": []
}