English

Kirwan polyhedron of holomorphic coadjoint orbits

Symplectic Geometry 2011-04-12 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1104.1909,
  title  = {Kirwan polyhedron of holomorphic coadjoint orbits},
  author = {Guillaume Deltour},
  journal= {arXiv preprint arXiv:1104.1909},
  year   = {2011}
}

Comments

40 pages, 2 figures