rt.representation theory – Quantum orbit method at root of unity

As can be found in Chari and Pressley’s A guide to quantum groups or in the original work by Vaksman and Soibelman (1989), similarly to Orbit method relating quantised coadjoint orbit to unitary irreducible representations, the same is true for dressing orbits of a compact Lie group G and the representation theory of the corresponding quantum group U_q(g).

My question does this remains true for q being a root of unity?