Classification of the algebras ${\mathbb{O}}_{p,q}$

Marie Kreusch, Sophie Morier-Genoud

We study a series of real nonassociative algebras ${\mathbb{O}}_{p,q}$ introduced in $[5]$. These algebras have a natural ${\mathbb{Z}}_2^n$-grading, where $n=p+q$, and they are charac…