Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
作者： Arkady Berenstein , Reyer Sjamaar
DOI: 10.1090/S0894-0347-00-00327-1
关键词: Schubert calculus 、 Orbit (control theory) 、 Mathematics 、 Polytope 、 Projection (mathematics) 、 Algebra 、 Pure mathematics 、 Moment map 、 Group (mathematics) 、 Lie group 、 Flag (linear algebra)
摘要: Consider a compact Lie group and closed subgroup. Generalizing result of Klyachko, we give necessary sufficient criterion for coadjoint orbit the subgroup to be contained in projection given ambient group. The is couched terms ``relative'' Schubert calculus flag varieties two groups.
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