Primitive axial algebras are of Jordan type

Louis Rowen, Yoav Segev

Research output: Contribution to journalArticlepeer-review

Abstract

The notion of axial algebra is closely related to 3-transposition groups, the Monster group and vertex operator algebras. In this work we continue our previous works and complete the proof that all algebras generated by a set of primitive axes not necessarily of the same type (see the definition in the body of the paper), are primitive axial algebras of Jordan type.

Original languageEnglish
Article number107206
JournalJournal of Pure and Applied Algebra
Volume227
Issue number3
DOIs
StatePublished - 1 Mar 2023

Keywords

  • Axial algebra
  • Axis
  • Fusion
  • Idempotent

ASJC Scopus subject areas

  • Algebra and Number Theory

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