%0 Journal Article
%T Multiplicity-free primitive ideals associated with rigid nilpotent orbits
%A Alexander Premet
%J Mathematics
%D 2013
%I arXiv
%X We prove that any finite W-algebra U(g,e) admits a one-dimensional representation fixed by the action of the component group of the centraliser of e. As a consequence, for any nilpotent orbit O in g there exists a multiplicity-free (and hence completely prime) primitive ideal of the universal enveloping algebra U(g) whose associated variety coincides with the Zariski closure of O.
%U http://arxiv.org/abs/1310.3346v3