On primitive axial algebras of Jordan type

2017/05/09 by Hall, Jonathan I., Segev, Yoav, Shpectorov, Sergey · 2 citations
#17C30 #17D99 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1705.03492

Abstract

In this note we give an overview of our knowledge regarding primitive axial algebras of Jordan type half and connections between 3-transposition groups and Matsuo algebras. We also show that primitive axial algebras of Jordan type η admit a Frobenius form, for any η.

Cited by

• Frobenius forms on weakly primitive axial algebras of Jordan type
• Axial identities

Related

• Primitive axial algebras are of Jordan type
• Frobenius forms on weakly primitive axial algebras of Jordan type
• On primitive 3-generated axial algebras of Jordan type
• Structure of primitive axial algebras
• On Jordan algebras that are factors of Matsuo algebras