Singularities of nilpotent orbit closures
Representation Theory
2015-12-22 v2 Algebraic Geometry
Abstract
This is an expository article on the singularities of nilpotent orbit closures in simple Lie algebras over the complex numbers. It is slanted towards aspects that are relevant for representation theory, including Maffei's theorem relating Slodowy slices to Nakajima quiver varieties in type A. There is one new observation: the results of Juteau and Mautner, combined with Maffei's theorem, give a geometric proof of a result on decomposition numbers of Schur algebras due to Fang, Henke and Koenig.
Cite
@article{arxiv.1408.3888,
title = {Singularities of nilpotent orbit closures},
author = {Anthony Henderson},
journal= {arXiv preprint arXiv:1408.3888},
year = {2015}
}
Comments
30 pages. Version 2 has very minor modifications; final version, to appear in proceedings of the 5th Japanese-Australian Workshop on Real and Complex Singularities