Orbits in the flag variety and images of the moment map for classical groups I

Yamamoto, Atsuko

doi:10.1090/S1088-4165-97-00007-1

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Orbits in the flag variety and images
of the moment map for classical groups I

Author: Atsuko Yamamoto
Journal: Represent. Theory 1 (1997), 329-404
MSC (1991): Primary 22E46
Posted: November 14, 1997
MathSciNet review: 1479152
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Abstract: We propose algorithms to get representatives and the images of the moment map of conormal bundles of $GL(p,\mbox{\bf C})\times GL(q,\mbox{\bf C})$ -orbits in the flag variety of $GL(p+q,\mbox{\bf C})$ , and $GL(p+q,\mbox{\bf C})$ -orbits and $Sp(p,\mbox{\bf C})\times Sp(q,\mbox{\bf C})$ -orbits in the flag variety of $Sp(p+q,\mbox{\bf C})$ and their signed Young diagrams.

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