Kirwan polyhedron of holomorphic coadjoint orbits

Details Kirwan polyhedron of holomorphic coadjoint orbits Kirwan polyhedron of holomorphic coadjoint orbits

2011-04-11

arxiv.org/abs/1104.1909v1

Mathematics

Symplectic Geometry

40 pages, 2 figures

Scientific paper

Let G be a simple, noncompact, connected, real Lie group with finite center,
and K a maximal compact subgroup of G. We assume that G/K is Hermitian. Using
GIT methods derived from the generalized eigenvalue problem, we compute a set
of affine equations describing the moment polyhedron of the projection on k* of
holomorphic coadjoint orbits of G.

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