SINGULARITIES OF CLOSURES OF B-CONJUGACY CLASSES OF NILPOTENT ELEMENTS OF HEIGHT 2

M. Bender; N. Perrin

doi:10.1007/s00031-018-9505-6

SINGULARITIES OF CLOSURES OF B-CONJUGACY CLASSES OF NILPOTENT ELEMENTS OF HEIGHT 2

M. Bender
, N. Perrin

Bergische Universität Gesamthochschule Wuppertal
Laboratoire de Mathématiques de Versailles

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

6 Citations (Scopus)

Abstract

We prove that for a simply laced group, the closure of the Borel conjugacy class of any nilpotent element of height 2 in its conjugacy class is normal and admits a rational resolution. We extend this, using Frobenius splitting techniques, to the closure in the whole Lie algebra if either the group has type A or the element has rank 2.

Original language	English
Pages (from-to)	741-768
Number of pages	28
Journal	Transformation Groups
Volume	24
Issue number	3
DOIs	https://doi.org/10.1007/s00031-018-9505-6
Publication status	Published - 15 Sept 2019
Externally published	Yes

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title = "SINGULARITIES OF CLOSURES OF B-CONJUGACY CLASSES OF NILPOTENT ELEMENTS OF HEIGHT 2",

abstract = "We prove that for a simply laced group, the closure of the Borel conjugacy class of any nilpotent element of height 2 in its conjugacy class is normal and admits a rational resolution. We extend this, using Frobenius splitting techniques, to the closure in the whole Lie algebra if either the group has type A or the element has rank 2.",

author = "M. Bender and N. Perrin",

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AU - Perrin, N.

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N2 - We prove that for a simply laced group, the closure of the Borel conjugacy class of any nilpotent element of height 2 in its conjugacy class is normal and admits a rational resolution. We extend this, using Frobenius splitting techniques, to the closure in the whole Lie algebra if either the group has type A or the element has rank 2.

AB - We prove that for a simply laced group, the closure of the Borel conjugacy class of any nilpotent element of height 2 in its conjugacy class is normal and admits a rational resolution. We extend this, using Frobenius splitting techniques, to the closure in the whole Lie algebra if either the group has type A or the element has rank 2.

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DO - 10.1007/s00031-018-9505-6

M3 - Article

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JO - Transformation Groups

JF - Transformation Groups

IS - 3

ER -

SINGULARITIES OF CLOSURES OF B-CONJUGACY CLASSES OF NILPOTENT ELEMENTS OF HEIGHT 2

Abstract

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