On the Commuting variety of a reductive Lie algebra
Representation Theory
2014-12-31 v3 Algebraic Geometry
Abstract
The commuting variety of a reductive Lie algebra is the underlying variety of a well defined subscheme of . In this note, it is proved that this scheme is normal. In particular, its ideal of definition is a prime ideal.
Cite
@article{arxiv.1206.5592,
title = {On the Commuting variety of a reductive Lie algebra},
author = {Jean-Yves Charbonnel},
journal= {arXiv preprint arXiv:1206.5592},
year = {2014}
}
Comments
A proof is completed