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

Arkady Berenstein, Reyer Sjamaar

Type: Article

Publication Date: 2000-01-31

Citations: 116

DOI: https://doi.org/10.1090/s0894-0347-00-00327-1

Abstract

Consider 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 ârelativeâ Schubert calculus of the flag varieties of the two groups.

Locations

Journal of the American Mathematical Society - View - PDF

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