{
  "abstract": "We classify, up to graded isomorphism, graded bimodules over split group algebras of finite abelian subgroups of an arbitrary group. The classification is governed by double cosets, stabilizer characters, and coefficient modules. Over a field, we determine the essential image of the induction functor on Yetter-Drinfel'd modules, giving a negative answer to a question of Dos Santos and Yasumura in the nonabelian case. We also compute the Peirce components and characterize multiplicity-free bimodules through extensions of stabilizer characters.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06072",
  "author_total": 2,
  "authors": [
    {
      "name": "Felipe de Mattos Chafik Hindi"
    },
    {
      "name": "Waldeck Schutzer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2my8gaf0f7zxq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06072",
  "fulltext_url": null,
  "id": "2my8gaf0f7zxq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06072",
  "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.RA"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7220663043",
  "pdf_url": "https://arxiv.org/pdf/2610.06072",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2my8gaf0f7zxq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.06072",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06072"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Graded bimodules over split group algebras: stabilizers and Peirce decompositions",
  "title_text": "Graded bimodules over split group algebras: stabilizers and Peirce decompositions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/2my8gaf0f7zxq",
  "venue": "arXiv",
  "versions": []
}