Primitive idempotents of the hyperalgebra for the $r$-th Frobenius kernel of $\mathrm{S}\mathrm{L}(2,k)$

In this paper we construct primitive idempotents of the hyperalgebra for the $r$-th Frobenius kernel of the algebraic group $\mathrm{S}\mathrm{L}(2,k)$.