{
  "abstract": "Let $p$ be an odd prime and let $G$ be a non-abelian group of order $p^4$. The classification of groups of order $p^4$ provides a natural setting for studying the structure of their complex group algebras. In this paper, we consider a non-abelian group G of order $p^4$ and determine the primitive central idempotents of the complex group algebra $\\mathbb{C}G$. Using these idempotents, we obtain the corresponding decomposition of $\\mathbb{C}G$ into simple components and describe the irreducible representations of $G$. The results provide an explicit description of the representation-theoretic structure of the chosen non-abelian group of order $p^4$ and illustrate the role of primitive central idempotents in the Wedderburn decomposition of its complex group algebra.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35198",
  "author_total": 2,
  "authors": [
    {
      "name": "Satyam Shukla"
    },
    {
      "name": "Jagmohan Tanti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6m0xxv2bch7am.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35198",
  "fulltext_url": null,
  "id": "6m0xxv2bch7am",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35198",
  "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.RT"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7224016738",
  "pdf_url": "https://arxiv.org/pdf/2610.35198",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6m0xxv2bch7am.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.35198",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35198"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Structural taxonomy and complex irreducible representations of non-abelian groups of order p^4",
  "title_text": "Structural taxonomy and complex irreducible representations of non-abelian groups of order p^4",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/6m0xxv2bch7am",
  "venue": "arXiv",
  "versions": []
}