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NORMALITY OF VERY EVEN NILPOTENT VARIETIES IN $D_{2l}$

Published online by Cambridge University Press:  01 June 2005

ERIC SOMMERS
ERIC SOMMERS
Affiliation:
Department of Mathematics, University of Massachusetts-Amherst, Amherst, MA 01003, USA esommers@math.umass.edu Institute for Advanced Study, Princeton, NJ 08540, USA
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Abstract

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.

Keywords

14L3014F1720G20 (primary)

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Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 3 , June 2005 , pp. 351 - 360
Copyright
© The London Mathematical Society 2005

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