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arXiv:1010.0640 [math.RT]AbstractReferencesReviewsResources

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

Jonathan Brundan

Published 2010-10-04, updated 2011-06-02Version 2

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.

Comments: final version; minor changes and some additions to bibliography; 32 pages
Journal: Compositio Math. 147 (2011), 1741-1771
Categories: math.RT, math.RA
Subjects: 17B35
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