Angular momentum tensor (source code)

= Angular momentum tensor
{title2=$L_{ab}=\sum_s(q_{s,a}p_{s,b}-q_{s,b}p_{s,a})$}

In $D$ spatial dimensions, rotations have an <antisymmetric tensor> of conserved <Noether charges> when the dynamics is rotationally invariant. There are $D(D-1)/2$ independent rotation generators. In three dimensions the tensor is equivalent to the axial <angular momentum> vector through $L_i=\epsilon_{iab}L_{ab}/2$.