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FROBENIUS FORMS ON WEAKLY PRIMITIVE AXIAL ALGEBRAS OF JORDAN TYPE

  • Louis Halle Rowen
  • , Yoav Segev
  • Ben-Gurion University of the Negev

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)315-330
Number of pages16
JournalSerdica Mathematical Journal
Volume51
Issue number3-4
DOIs
StatePublished - 23 Dec 2025

Bibliographical note

Publisher Copyright:
© 2025, Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. All rights reserved.

Keywords

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

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