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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	741-768
Nombre de pages	28
journal	Transformation Groups
Volume	24
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s00031-018-9505-6
état	Publié - 15 sept. 2019
Modification externe	Oui

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10.1007/s00031-018-9505-6

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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.",

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

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