On primitive axial decomposition algebras of Majorana type with degenerate eigenvalues

Abstract

A class of axial decomposition algebras with Miyamoto group generated by two Miyamoto automorphisms and three eigenvalues $0,1$ and $\eta$ is introduced and classified in the case with $\eta \notin \{0,1,\frac{1}{2}\}$. This class includes specializations of 2-generated axial algebras of Majorana type $(\xi ,\eta )$ to the case with $\xi =\eta$.

References in corpus (1)

• Primitive axial algebras of Jordan type