Nilpotent commuting varieties of reductive Lie algebras

Details Nilpotent commuting varieties of reductive Lie algebras Nilpotent commuting varieties of reductive Lie algebras

2003-02-18

arxiv.org/abs/math/0302204v1

Mathematics

Representation Theory

25 pages

Scientific paper

We prove that the nilpotent commuting variety of a reductive Lie algebra over an algebraically closed field of good characteristic is equidimensional. In characteristic zero, this confirms a conjecture of Vladimir Baranovsky. As a by-product, we obtain tat the punctual (local) Hilbert scheme parametrising the ideals of colength $n$ in $k[[X,Y]]$ is irreducible over any algebraically closed field $k$.

Affiliated with

Also associated with

No associations

Rating

Nilpotent commuting varieties of reductive Lie algebras 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 Nilpotent commuting varieties of reductive Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nilpotent commuting varieties of reductive Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-501910