On the support varieties of Demazure modules

Details On the support varieties of Demazure modules On the support varieties of Demazure modules

2010-02-03

arxiv.org/abs/1002.0829v2

Mathematics

Representation Theory

19 pages; revisions were made in response to referee

Scientific paper

We consider the support varieties of Demazure modules, certain $B$-modules important in the representation theory of reductive groups. In many cases we are able to compute these support varieties over $B_1$, the first Frobenius kernel of a Borel subgroup, and relate them to orbital varieties. We provide a complete calculation of the support varieties when the underlying algebraic group has type $A_1$ or $A_2$. We also consider the saturation ($G$ orbit of) $B_1$ support varieties for Demazure modules and show that the inclusion relations among these varieties are compatible with the Bruhat order.

Affiliated with

Also associated with

No associations

Rating

On the support varieties of Demazure modules 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 support varieties of Demazure modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the support varieties of Demazure modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-154050