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Representation Theory
Representation Theory
ISSN 1088-4165

 

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
Published electronically: 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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Additional Information

Atsuko Yamamoto
Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo, Komaba Tokyo 153, Japan
Email: atsuko@ms.u-tokyo.ac.jp

DOI: http://dx.doi.org/10.1090/S1088-4165-97-00007-1
PII: S 1088-4165(97)00007-1
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.
Article copyright: © Copyright 1997 American Mathematical Society