The Lie triple system of the symmetric space \(F_4/ \operatorname{Spin}(9)\).
The author describes the Lie triple system of the Cayley projective plane, viewed as the symmetric space \(F_4/ \text{Spin}(9)\), in terms of an algebraic structure that is associated with the \(16\)-dimensional spinor representation of Spin(9). Some related questions are also discussed.
scientific article; zbMATH DE number 1925753
scientific article