2 papers
math.RA2026
On linear equations over split-octonions
Artem Lopatin, Alexandr N. Zubkov
Over an algebraically closed field, we describe the affine varieties of solutions to the linear equations and over the split-octonions. We also determine the di…
math.RA2025
Classification of G_2-orbits for pairs of octonions
Artem Lopatin, Alexandr N. Zubkov
Over an algebraically closed field, we described a minimal set of representatives for G_2-orbits on the set of pairs of octonions.