The Duistermaat-Heckman Measure for the Coadjoint Orbits of Compact Semisimple Lie Groups

Details The Duistermaat-Heckman Measure for the Coadjoint Orbits of Compact Semisimple Lie Groups The Duistermaat-Heckman Measure for the Coadjoint Orbits of Compact Semisimple Lie Groups

1998-07-09

arxiv.org/abs/math/9807042v1

Mathematics

Symplectic Geometry

13 pages, no figures

Scientific paper

We apply the Guillemin-Lerman-Sternberg theorem to reprove a formula of Heckman for the Duistermaat-Heckman measure associated to the coadjoint action of $T$, a maximal torus of a compact semisimple Lie group $G$, on a regular coadjoint $G$-orbit in the dual space of the Lie algebra of $G$. This formula is, in an appropriate sense, a limiting case of the Kostant multiplicity formula.

Affiliated with

Also associated with

No associations

Rating

The Duistermaat-Heckman Measure for the Coadjoint Orbits of Compact Semisimple Lie Groups 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 Duistermaat-Heckman Measure for the Coadjoint Orbits of Compact Semisimple Lie Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Duistermaat-Heckman Measure for the Coadjoint Orbits of Compact Semisimple Lie Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297446