On the singularities of nilpotent orbits

V. Hinich

doi:10.1007/BF02773843

On the singularities of nilpotent orbits

Research output: Contribution to journal › Article › peer-review

Abstract

Let {Mathematical expression} 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 {Mathematical expression} is Gorenstein and has rational singularities.

Original language	English
Pages (from-to)	297-308
Number of pages	12
Journal	Israel Journal of Mathematics
Volume	73
Issue number	3
DOIs	https://doi.org/10.1007/BF02773843
State	Published - Oct 1991
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/BF02773843

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title = "On the singularities of nilpotent orbits",

abstract = "Let {Mathematical expression} 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 {Mathematical expression} is Gorenstein and has rational singularities.",

author = "V. Hinich",

year = "1991",

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doi = "10.1007/BF02773843",

language = "English",

volume = "73",

pages = "297--308",

journal = "Israel Journal of Mathematics",

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N2 - Let {Mathematical expression} 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 {Mathematical expression} is Gorenstein and has rational singularities.

AB - Let {Mathematical expression} 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 {Mathematical expression} is Gorenstein and has rational singularities.

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DO - 10.1007/BF02773843

M3 - Article

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VL - 73

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 3

ER -

On the singularities of nilpotent orbits

Abstract

ASJC Scopus subject areas

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