The Belkale-Kumar cup product and relative Lie algebra cohomology

Details The Belkale-Kumar cup product and relative Lie algebra cohomology The Belkale-Kumar cup product and relative Lie algebra cohomology

2011-04-07

arxiv.org/abs/1104.1415v2

Mathematics

Algebraic Geometry

26 pages; some small revisions from previous version

Scientific paper

We study the Belkale-Kumar family of cup products on the cohomology of a generalized flag variety. We give an alternative construction of the family using relative Lie algebra cohomology, and in particular, identify the Belkale-Kumar cup product with a relative Lie algebra cohomology ring for every value of the parameter. As a consequence, we extend a fundamental disjointness result of Kostant to a family of Lie algebras. In an appendix, written jointly with Edward Richmond, we extend a Levi movability result of Belkale and Kumar to arbitrary parameters.

Affiliated with

Also associated with

No associations

Rating

The Belkale-Kumar cup product and relative Lie algebra cohomology 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 The Belkale-Kumar cup product and relative Lie algebra cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Belkale-Kumar cup product and relative Lie algebra cohomology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-718208