Moeglin's theorem and Goldie rank polynomials in Cartan type A
Representation Theory
2019-02-20 v2 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1010.0640,
title = {Moeglin's theorem and Goldie rank polynomials in Cartan type A},
author = {Jonathan Brundan},
journal= {arXiv preprint arXiv:1010.0640},
year = {2019}
}
Comments
final version; minor changes and some additions to bibliography; 32 pages