Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
Symplectic Geometry
2007-05-23 v2 Algebraic Geometry
Representation Theory
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 ``relative'' Schubert calculus of the flag varieties of the two groups.
Keywords
Cite
@article{arxiv.math/9810125,
title = {Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion},
author = {Arkady Berenstein and Reyer Sjamaar},
journal= {arXiv preprint arXiv:math/9810125},
year = {2007}
}
Comments
34 pages, 4 figures, revised and reorganized