All commutation relations hold for $j = 1/2, 1, 3/2, 2, 5/2$ - Rotation matrices are unitary - $d^{(1/2)}(2\pi) = -\hat{I}_2$ and $d^{(1)}(2\pi) = +\hat{I}_3$ - Matrix elements match the analytical formulas for $j = 1/2$ and $j = 1$