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

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

Represent. Theory 1 (1997), 329-404

DOI: https://doi.org/10.1090/S1088-4165-97-00007-1

Published electronically: November 14, 1997

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Abstract:

We propose algorithms to get representatives and the images of the moment map of conormal bundles of $GL(p,\mathbb {C})\times GL(q,\mathbb {C} )$-orbits in the flag variety of $GL(p+q,\mathbb {C} )$, and $GL(p+q,\mathbb {C})$-orbits and $Sp(p,\mathbb {C} )\times Sp(q,\mathbb {C} )$-orbits in the flag variety of $Sp(p+q,\mathbb {C} )$ and their signed Young diagrams.

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