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arXiv:1206.5592 [math.RT]AbstractReferencesReviewsResources

On the Commuting variety of a reductive Lie algebra

Jean-Yves Charbonnel

Published 2012-06-25, updated 2014-12-30Version 3

The commuting variety of a reductive Lie algebra ${\goth g}$ is the underlying variety of a well defined subscheme of $\gg g{}$. In this note, it is proved that this scheme is normal. In particular, its ideal of definition is a prime ideal.

Comments: A proof is completed
Categories: math.RT, math.AG
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