On the strong Dixmier-Moeglin equivalence for the quantum semisimple groups

The Dixmier-Moeglin equivalence, when it holds for an algebra, characterizes its primitive ideals ( that is, the annihilators of irreducible representations) both algebraically and topologically within the prime spectrum. A stronger form, known as the strong Dixmier-Moeglin equivalence, was introduced by Bell, Launois, and Nolan in their work on 'A strong Dixmier-Moeglin equivalence for quantum Schubert cells'. In this paper, we prove that the generic quantized coordinate rings of connected, simply connected semisimple complex algebraic groups satisfy the strong Dixmier-Moeglin equivalence.