Models of compact simple Kantor triple systems defined on a class of structurable algebras of skew-dimension one
Let $(A,^-):={\cal M}(J)$ be the $2 \times 2$-matrix algebra determined by Jordan algebra $J:=H_3(\mathbb{A})$ of hermitian $3 \times 3$-matrices over a real composition algebra $\mathbb{A}$, where $(A,^-)$ is the standard involution on $A$. We show that the triple systems $B_A(x,\overline{y}^\sim,z), x,y,z\in\mathbb{A}$, are models of simple compact Kantor triple systems satisfying the condition