Constructing Non-Semisimple Modular Categories With Relative Monoidal Centers

This paper is a contribution to the construction of non-semisimple modular categories. We establish when M\"uger centralizers inside categories are also modular. As consequence, we obtain conditions under which relative monoidal centers give (non-semisimple) categories, and show that examples include representation small quantum groups. further derive representations more general groups, braided Drinfeld doubles Nichols algebras diagonal type,