On the nullcone and the variety $χ_\mathfrak{g}$ of a semisimple lie algebra

Details On the nullcone and the variety $χ_\mathfrak{g}$ of a semisimple lie algebra On the nullcone and the variety $χ_\mathfrak{g}$ of a semisimple lie algebra

2010-04-24

arxiv.org/abs/1004.4263v3

Mathematics

Representation Theory

This paper has been withdrawn and replaced by arXiv:1105.5921v1

Scientific paper

Let g be a semisimple Lie algebra of finite dimension. The nullcone N of g is
the set of (x, y) in g\timesg such that x and y are nilpotents and are in the
same Borel subalgebra. The main result of this paper is that N is a closed and
irreducible subvariety of g \times g whose normalization has rational
singularities and such that the normalization morphism is bijective.

Affiliated with

Also associated with

No associations

Rating

On the nullcone and the variety $χ_\mathfrak{g}$ of a semisimple lie algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the nullcone and the variety $χ_\mathfrak{g}$ of a semisimple lie algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the nullcone and the variety $χ_\mathfrak{g}$ of a semisimple lie algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-387109