3 papers
math.RA2026
Semisimplifying Frank Lie algebras
Michiel Smet
The Frank Lie algebras are simple Lie algebras that only occur over fields of characteristic 3. These come equipped with distinguished inner derivations that make them algebras in…
math.RA2025
Cubic norm pairs and hermitian cubic norm structures
Michiel Smet
We generalize cubic norm structures to cubic norm pairs and extend hermitian cubic norm structures to arbitrary commutative unital rings. For the associated ``skew dimension one st…
math.GR2025
Hermitian Cubic norm structures and groups of relative rank one
Michiel Smet
Hermitian cubic norm structures were recently introduced in order to study the class of skew-dimension one structurable algebras (which are typically only defined over fields of ch…