Brendan Nolan, University of Kent
“The Dixmier–Moeglin Equivalence”
It is notoriously difficult to find all the simple modules for an algebra. However, Dixmier and Moeglin proved that, in the enveloping algebra of a complex Lie algebra, the annihilators of simple modules (aka primitive ideals) can be recognised both algebraically and topologically. This has since been shown to hold in many classes of quantum algebras. I will outline the proof in some simple cases.
MC 5479