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arXiv 2012-06-25 1 views

On the Commuting variety of a reductive Lie algebra

Charbonnel, Jean-Yves

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

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