Projective dimension and commuting variety of a reductive Lie algebra - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Projective dimension and commuting variety of a reductive Lie algebra

Résumé

The commuting variety of a reductive Lie algebra g is the underlying variety of a well defined subscheme of g × g. In this note, it is proved that this scheme is normal and Cohen-Macaulay. In particular, its ideal of definition is a prime ideal. As a matter of fact, this theorem results from a so called Property (P) for a simple Lie algebra. This property says that some cohomology complexes are exact.
Fichier principal
Vignette du fichier
nwc.pdf (770.22 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02877905 , version 1 (22-06-2020)

Identifiants

Citer

Jean-Yves Charbonnel. Projective dimension and commuting variety of a reductive Lie algebra. 2020. ⟨hal-02877905⟩
22 Consultations
20 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More