Rotationally invariant multipartite states

We construct a class of multipartite states possessing rotational SO(3) symmetry - these are states of K spin-j(A) particles and K spin-j(B) particles. The construction of symmetric states follows our two recent papers devoted to unitary and orthogonal multipartite symmetry. We study basic properties of multipartite SO(3) symmetric states: separability criteria and multiPPT conditions.