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On the Commuting variety of a reductive Lie algebra
Published 25 Jun 2012 in math.RT and math.AG | (1206.5592v3)
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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