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arXiv · 0907.0607

Springer fiber components in the two columns case for types A and D are normal

Nicolas Perrin·Evgeny Smirnov
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Abstract

We study the singularities of the irreducible components of the Springer fiber over a nilpotent element N with N^2=0 in a Lie algebra of type A or D (the so-called two columns case). We use Frobenius splitting techniques to prove that these irreducible components are normal, Cohen-Macaulay, and have rational singularities.

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BibTeXRIS

Nicolas Perrin, Evgeny Smirnov. 2010-09-13. Springer fiber components in the two columns case for types A and D are normal. https://arxiv.org/abs/0907.0607

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