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Representation Theory

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ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Orbits in the flag variety and images of the moment map for classical groups I
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by Atsuko Yamamoto PDF
Represent. Theory 1 (1997), 329-404 Request permission

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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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
  • 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