Primitive axial algebras are of Jordan type

Louis Rowen, Yoav Segev

Research output: Working paper/PreprintPreprint

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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 compete 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
StatePublished - 28 Nov 2021

Keywords

  • math.RA
  • math.GR
  • Primary: 17A05, 17A15, 17A20, Secondary: 17A36

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