Spin-independent axis-angle composition
= Spin-independent axis-angle composition
{title2=$D^{(S)}(g_1g_2)=D^{(S)}(g_1)D^{(S)}(g_2)$}
The axis and angle of a product of <rotations> are properties of the group elements, independent of which <spin> <representation> acts on a state. Higher-spin generators do not obey the two-term Pauli exponential, but <representations> preserve the resulting <rotation> product. The central $2\pi$ <rotation> acts as $(-1)^{2S}I$.