{
  "abstract": "The classical Murnaghan-Nakayama rule is a recursive formula for computing the values of complex irreducible characters of the symmetric group $S_n$. Alun Morris proved a recursive formula for evaluating the values of irreducible spin characters of $\\widetilde{S}_n$, where $\\widetilde{S}_n$ is one of the Schur covers of $S_n$ defined by $\\widetilde{S}_n:=\\langle t_1,t_2,\\cdots,t_{n-1},z\\ |\\ z^2=1,\\ t_i^2=z,\\ (t_it_{i+1})^3=z, \\ t_it_j=zt_jt_i\\ \\text{if}\\ |i-j|>1\\rangle$. A recursive formula for evaluating the values of complex irreducible characters of the wreath product $G\\wr S_n$, where $G$ is a finite group, was proved by J. Stembridge. In this article, we state and prove a recursive formula to compute the values of the irreducible spin characters of the wreath product $G\\wr \\widetilde{S}_n$. For the convenience of implementing these recursive formulas, we extend the notion of 0-1 boundary sequence of a Young diagram to shifted Young diagrams.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06558",
  "author_total": 2,
  "authors": [
    {
      "name": "Rijubrata Kundu"
    },
    {
      "name": "Papi Ray"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0kzebyp8vd1d8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06558",
  "fulltext_url": null,
  "id": "0kzebyp8vd1d8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06558",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7220681220",
  "pdf_url": "https://arxiv.org/pdf/2610.06558",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0kzebyp8vd1d8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.06558",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06558"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "A Morris recursion rule for values of the spin characters of wreath products",
  "title_text": "A Morris recursion rule for values of the spin characters of wreath products",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/0kzebyp8vd1d8",
  "venue": "arXiv",
  "versions": []
}