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Kirwan polyhedron of holomorphic coadjoint orbits

2011/04/11 by Guillaume Deltour, Deltour, Guillaume
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.SG

paper · pdf · doi:10.48550/arxiv.1104.1909

40 pages, 2 figures

arxiv created 2011/04/11 · arxiv updated 2011/04/12

Abstract

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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