Primitive axial algebras are of Jordan type

DOI10.1016/J.JPAA.2022.107206arXiv2111.14164MaRDI QIDQ6384140

Publication date: 28 November 2021

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.

Mathematics Subject Classification ID

Power-associative rings (17A05) Noncommutative Jordan algebras (17A15) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Flexible algebras (17A20) Idempotents, Peirce decompositions (17C27)

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