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arXiv:1408.3888 [math.RT]AbstractReferencesReviewsResources

Singularities of nilpotent orbit closures

Anthony Henderson

Published 2014-08-18, updated 2015-01-27Version 2

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.

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
Categories: math.RT, math.AG
Subjects: 14B05, 17B08, 14E15, 20G05
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