Solution
= Solution
For $J_i^\pm=(J_i\pm iK_i)/2$,
$$
\boxed{
[J_i^+,J_j^+]=\epsilon_{ijk}J_k^+,\qquad
[J_i^-,J_j^-]=\epsilon_{ijk}J_k^-,\qquad
[J_i^+,J_j^-]=0}.
$$
= Solution
For $J_i^\pm=(J_i\pm iK_i)/2$,
$$
\boxed{
[J_i^+,J_j^+]=\epsilon_{ijk}J_k^+,\qquad
[J_i^-,J_j^-]=\epsilon_{ijk}J_k^-,\qquad
[J_i^+,J_j^-]=0}.
$$