Coordinates on Schubert cells, Kostant's harmonic forms, and the Bruhat-Poisson structure on $G/B$

Mathematics – Differential Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

We relate Kostant's theorem on the cohomology of a flag manifold $G/B$ with the geometry of the Bruhat-Poisson structure. We express Kostant's harmonic forms in terms of the moment maps (for the torus action) and the Liouville volume forms for the symplectic structures on the Schubert cells induced by the Bruhat-Poisson structure. We do this by writing everything down explicitly in some coordinates on each cell.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Coordinates on Schubert cells, Kostant's harmonic forms, and the Bruhat-Poisson structure on $G/B$ 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 Coordinates on Schubert cells, Kostant's harmonic forms, and the Bruhat-Poisson structure on $G/B$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coordinates on Schubert cells, Kostant's harmonic forms, and the Bruhat-Poisson structure on $G/B$ will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-383495

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.