The closure of a sheet is not always a union of sheets, a short note - Archive ouverte HAL Accéder directement au contenu
Autre Publication Scientifique Année : 2015

The closure of a sheet is not always a union of sheets, a short note

Résumé

In this note we answer to a frequently asked question. If G is an algebraic group acting on a variety V, a G-sheet of V is an irreducible component of V^(m), the set of elements of V whose G-orbit has dimension m. We focus on the case of the adjoint action of a semisimple group on its Lie algebra. We give two families of examples of sheets whose closure is not a union of sheets in this setting.

Mots clés

Fichier principal
Vignette du fichier
counterexemplesheets.pdf (262.63 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00660584 , version 1 (17-01-2012)
hal-00660584 , version 2 (29-03-2019)

Identifiants

Citer

Michael Bulois. The closure of a sheet is not always a union of sheets, a short note. 2015, ⟨10.4310/MRL.2015.v22.n3.a1⟩. ⟨hal-00660584v2⟩
109 Consultations
115 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More