Journal of the American Mathematical Society

Author(s): Arkady Berenstein; Reyer Sjamaar
Journal: J. Amer. Math. Soc. 13 (2000), 433-466.
MSC (2000): Primary 53D20; Secondary 14L24
Posted: January 31, 2000
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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.

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Arkady Berenstein
Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853-4201
Address at time of publication: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138-2901
Email: arkadiy@math.harvard.edu

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