Structurable algebras of skew-rank 1 over the affine plane

Let k be a field of characteristic not 2 or 3. Infinitely many mutually non-isomorphic structurable algebras of rank 20 over k[X,Y] are constructed whose fibre is a given structurable algebra over k of skew-rank 1.

S. Pumpluen < susanne.pumpluen@nottingham.ac.uk >