2-gnerated axial algebras of Monster type (2β,β)

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Abstract

Axial algebras of Monster type are a class of non-associative algebras that includes, besides associative algebras, other important examples such as the Jordan algebras and the Griess algebra. 2-generated primitive axial algebras of Monster type (a, β) naturally split into three cases: the case when a\not \in {2β,4β}, the case a=4β and a=4β. In this paper we give a complete classification all 2-generated primitive axial algebras of Monster type (2β,β).
Lingua originaleEnglish
pagine (da-a)123-170
Numero di pagine48
RivistaJournal of Algebra
Volume2023
DOI
Stato di pubblicazionePubblicato - 2023

Keywords

  • Monster algebra
  • axial algebra

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