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arXiv · 1206.5592

On the Commuting variety of a reductive Lie algebra

Jean-Yves Charbonnel
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Abstract

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.

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Jean-Yves Charbonnel. 2012-06-25. On the Commuting variety of a reductive Lie algebra. https://arxiv.org/abs/1206.5592

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