Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion

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dc.creatorBerenstein, Arkady
dc.creatorSjamaar, Reyer
dc.date1998-10-20
dc.date1999-11-25
dc.date.accessioned2026-07-07T05:26:33Z
dc.date.available2026-07-07T05:26:33Z
dc.descriptionConsider a compact Lie group and a closed subgroup. Generalizing a result of Klyachko, we give a necessary and sufficient criterion for a coadjoint orbit of the subgroup to be contained in the projection of a given coadjoint orbit of the ambient group. The criterion is couched in terms of the ``relative'' Schubert calculus of the flag varieties of the two groups.
dc.description34 pages, 4 figures, revised and reorganized
dc.identifierhttps://arxiv.org/abs/math/9810125
dc.identifierhttp://arxiv.org/abs/math/9810125
dc.identifierJ. Amer. Math. Soc. 13 (2000), 433-466
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77588
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleCoadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
dc.typetext

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