## 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.## References

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## Bibliographic Information

**Atsuko Yamamoto**- Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo, Komaba Tokyo 153, Japan
- Email: atsuko@ms.u-tokyo.ac.jp
- Received by editor(s): August 21, 1996
- Received by editor(s) in revised form: May 22, 1997
- Published electronically: November 14, 1997
- Additional Notes: The author was supported by the Research Fellowship of the Japan Society for the Promotion of Science for Young Scientists.
- © Copyright 1997 American Mathematical Society
- Journal: Represent. Theory
**1**(1997), 329-404 - MSC (1991): Primary 22E46
- DOI: https://doi.org/10.1090/S1088-4165-97-00007-1
- MathSciNet review: 1479152