Preprints, Working Papers, ... Year : 2012

On the Commuting variety of a reductive Lie algebra and other related varieties.

Abstract

In this note, one discusses about some varieties which are constructed analogously to the isospectral commuting varieties. These varieties are subvarieties of varieties having very simple desingularizations. For instance, this is the case of the nullcone of any cartesian power of a reductive Lie algebra and one proves that it has rational singularities. Moreover, as a byproduct of these investigations and the Ginzburg's results, one gets that the normalizations of the isospectral commuting variety and the commuting variety have rational singularities.

Fichier principal
Vignette du fichier
vc.pdf (471.42 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Licence

Dates and versions

hal-00684336 , version 1 (01-04-2012)

Licence

Identifiers

  • HAL Id : hal-00684336 , version 1

Cite

Jean-Yves Charbonnel, Mouchira Zaiter. On the Commuting variety of a reductive Lie algebra and other related varieties.. 2012. ⟨hal-00684336⟩
101 View
438 Download

Share

  • More