| \begin{array}{rl}&{[H_{1},E_{1}]=2E_{1},\quad[H_{1},F_{1}]=-2F_{1},\quad[E_{1},F_{1}]=H_{1},}\\&{[H_{2},E_{2}]=2E_{2},\quad[H_{2},F_{2}]=-2F_{2},\quad[E_{2},F_{2}]=H_{2},}\\&{[H_{2}-H_{1},E_{3}]=2E_{3},\quad[H_{2}-H_{1},F_{3}]=-2F_{3},}\\&{[E_{3},F_{3}]=H_{2}-H_{1},\quad[H_{1},E_{2}]=E_{2},}\\&{[H_{1},E_{3}]=-E_{3},\quad[H_{2},E_{1}]=E_{1},\quad[H_{2},E_{3}]=E_{3},}\\&{[H_{1},F_{2}]=-F_{2},\quad[H_{1},F_{3}]=F_{3},\quad[H_{2},F_{1}]=-F_{1},}\\&{[H_{2},F_{3}]=-F_{3},\quad[F_{1},F_{2}]=0,\quad[F_{2},F_{3}]=0,}\\&{[E_{1},E_{2}]=0,\quad[E_{1},E_{3}]=0.}\end{array} |