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

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

2010-10-04

arxiv.org/abs/1010.0640v2

Mathematics

Representation Theory

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

Scientific paper

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.

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