{
  "abstract": "We study the theory of right representations of Novikov algebras. We introduce the notion of a modular right ideal of a Novikov algebra and prove that every irreducible right representation of a Novikov algebra is isomorphic to the quotient by a maximal modular right ideal. We prove that the class of Novikov algebras with no irreducible representations forms a hereditary radical. We introduce the notion of a primitive Novikov algebra and show that a Novikov algebra is primitive if and only if it admits an almost faithful irreducible representation. We also introduce the notion of the quasi-kernel of a representation, defined as the largest ideal contained in its kernel. Finally, we prove that the constructed radical coincides with the intersection of the quasi-kernels of all its irreducible representations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.16431",
  "author_total": 1,
  "authors": [
    {
      "name": "A. S. Panasenko"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d6knen2rhpndt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.16431",
  "fulltext_url": null,
  "id": "d6knen2rhpndt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.16431",
  "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.QA"
    ],
    [
      "arxiv",
      "math.RA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
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  "openalex": "W7164906863",
  "pdf_url": "https://arxiv.org/pdf/2606.16431",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d6knen2rhpndt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2606.16431",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.16431"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Right representations of Novikov algebras",
  "title_text": "Right representations of Novikov algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/d6knen2rhpndt",
  "venue": "arXiv",
  "versions": []
}