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On a variety related to the commuting variety of a reductive Lie algebra

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 نشر من قبل Jean-Yves Charbonnel
 تاريخ النشر 2015
  مجال البحث
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For a reductive Lie algbera over an algbraically closed field of charasteristic zero,we consider a borel subgroup $B$ of its adjoint group, a Cartan subalgebra contained inthe Lie algebra of $B$ and the closure $X$ of its orbit under $B$ in the Grassmannian.The variety $X$ plays an important role in the study of the commuting variety. In thisnote, we prove that $X$ is Gorenstein with rational singularities.



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