English

Frobenius forms on weakly primitive axial algebras of Jordan type

Rings and Algebras 2025-09-23 v1

Abstract

In a previous paper we studied ``weakly primitive axial algebras'' with respect to more general fusion rules, for which at least one axis satisfies the fusion rules. In this continuation, a concise description is provided of the 22-generated algebras we obtained in that paper and we show that in certain cases, the algebras have a Frobenius form, a key tool in their study.

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Cite

@article{arxiv.2509.17117,
  title  = {Frobenius forms on weakly primitive axial algebras of Jordan type},
  author = {Louis Rowen and Yoav Segev},
  journal= {arXiv preprint arXiv:2509.17117},
  year   = {2025}
}

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13 pages