I'd like to ask for any resource recommendations whether research literature or pedagogic, on working out the representation theory (i.e. finding all simple modules) for quotients of universal enveloping algebras of Lie algebras. Specifically, quotienting by a non-principal ideal.
There was a book called Methods of Representation Theory by Curtis and Reiner which I considered just based on the title, that seems to use quiver machinery which seems widely applicable. However, before embarking on that journey, I wanted to check if there was some specialised toolkit for quotients of enveloping algebras, since my interest is very specific.