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Bulletin of the London Mathematical Society (1)

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NORMALITY OF VERY EVEN NILPOTENT VARIETIES IN $D_{2l}$
ERIC SOMMERS
Journal:

Bulletin of the London Mathematical Society / Volume 37 / Issue 3 / June 2005

Published online by Cambridge University Press:

01 June 2005, pp. 351-360

Print publication:

June 2005
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For the classical groups, Kraft and Procesi have resolved the question of which nilpotent orbits have closures that are normal and which do not, with the exception of the very even orbits in $D_{2l}$ that have partitions of the form $(a^{2k}, b^2)$ for $a\,{>}\,b$ even natural numbers satisfying $a k\,{+}\,b\,{=}\,2 l$.
In this paper, these orbits are shown to have normal closure.