Commutation relations of $\mathfrak{g}\_2$ and the incidence geometry of the Fano plane

Michel Rausch de Traubenberg, M J Slupinski

We continue our study and classification of structures on the Fano plane $\mathcal{F}$ and its dual ${\mathcal{F}}^{\ast }$ involved in the construction of octonions and the Lie algebra $\mat…