Title: On the classification of Kantor pairs and structurable algebras in characteristic 5,
Abstract: We observe that any finite-dimensional central simple 5-graded Lie algebra
over over a field k of characteristic not 2,3 is necessarily classical, i.e. a
twisted form of a Chevalley Lie algebra. Consequently, the classification of
central simple structurable algebras and Kantor pairs over fields of
characteristic 5 derives from the classification of simple algebraic groups.
Using the classification of nilpotent conjugacy classes, we list all 5-gradings
on Lie algebras of simple algebraic groups that give rise to simple
structurable algebras over algebraically closed fields.