Enveloping algebras of Slodowy slices and the Joseph ideal

Details Enveloping algebras of Slodowy slices and the Joseph ideal Enveloping algebras of Slodowy slices and the Joseph ideal

2005-04-17

arxiv.org/abs/math/0504343v1

Mathematics

Representation Theory

52 pages

Scientific paper

We study general properties of quantisations of Slodowy slices and discuss in
detail the case of the minimal nilpotent orbit. Associated varieties of related
primitive ideals of U(g) are determined, in the general case, and the de
Vos-van Driel conjecture on Verma modules for finite W-algebras is proved in
the minimal nilpotent case.

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