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

1998/07/09 by Ami Haviv, Haviv, Ami
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG

paper · pdf · doi:10.48550/arxiv.math/9807042

13 pages, no figures

arxiv created 1998/07/09 · arxiv updated 2009/11/30

Abstract

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.

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