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On the singularities of nilpotent orbits

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Abstract

Let\(\mathcal{O}\) be a nilpotent orbit of the adjoint action of a complex connected semi-simple Lie group on its Lie algebra. We prove that the normalization of the closure of\(\mathcal{O}\) is Gorenstein and has rational singularities.

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Authors and Affiliations

  1. Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100, Rehovot, Israel

    V. Hinich

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  1. V. Hinich
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Hinich, V. On the singularities of nilpotent orbits. Israel J. Math. 73, 297–308 (1991). https://doi.org/10.1007/BF02773843

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  • DOI: https://doi.org/10.1007/BF02773843

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