Moeglin's theorem and Goldie rank polynomials in Cartan type A

Abstract

We use the theory of finite W-algebras associated to nilpotent orbits in the Lie algebra g = gl_N(C) to give another proof of Moeglin's theorem about completely prime primitive ideals in the enveloping algebra U(g). We also make some new observations about Joseph's Goldie rank polynomials in Cartan type A.

final version; minor changes and some additions to bibliography; 32 pages

References in corpus (2)

• Quantum Reduction for Affine Superalgebras
• Finite dimensional representations of W-algebras

Cited by in corpus (2)

• Derived subalgebras of centralisers and finite W-algebras
• Minimal dimensional representations of reduced enveloping algebras for ${\mathfrak{gl}}_n$