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Vol. 51 No. 3–4 (2025)
Serdica Mathematical Journal

Articles

Frobenius forms on weakly primitive axial algebras of Jordan type

https://doi.org/10.55630/serdica.2025.51.315-330

Published 23-12-2025

  • Louis Rowen
    • ,
  • Yoav Segev

Louis Rowen
Bar-Ilan University

Yoav Segev
Ben-Gurion University

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 2-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.

2020 Mathematics Subject Classification:

17A30, 17A01, 17A15, 17C27, 15A63, 16S36, 16U40, 17A36

Keywords

axial algebra axis, primitive, weakly primitive, Frobenius form, Jordan type, fusion rules, radical

Full text

Author Details

Louis Rowen

Department of Mathematics
Bar-Ilan University
Ramat Gan, Israel
e-mail: rowen@math.biu.ac.il

Yoav Segev

Department of Mathematics
Ben-Gurion University 
Beer-Sheva 84105 
Israel
e-mail: yoavs@math.bgu.ac.il

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