Title

Local systems on nilpotent orbits and weighted dynkin diagrams

Document Type

Article

Publication Date

9-5-2002

Abstract

We study the Lusztig-Vogan bijection for the case of a local system. We compute the bijection explicitly in type A for a local system and then show that the dominant weights obtained for different local systems on the same orbit are related in a manner made precise in the paper. We also give a conjecture (putatively valid for all groups) detailing how the weighted Dynkin diagram for a nilpotent orbit in the dual Lie algebra should arise under the bijection. © 2002 American Mathematical Society.

Publication Source (Journal or Book title)

Representation Theory

First Page

190

Last Page

201

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