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Point stabilisers for the enhanced and exotic nilpotent cones

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Publication:2882812
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DOI10.1515/jgt.2010.080zbMath1279.20059arXiv0909.0356OpenAlexW3101287703MaRDI QIDQ2882812

Michael Sun

Publication date: 7 May 2012

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0356


zbMATH Keywords

orbitsbipartitionsstabilizersSpringer correspondencenilpotent conesnumbers of points


Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Coadjoint orbits; nilpotent varieties (17B08)


Related Items (4)

Pieces of nilpotent cones for classical groups ⋮ Equivariant coherent sheaves on the exotic nilpotent cone ⋮ Affine pavings and the enhanced nilpotent cone ⋮ The (cyclic) enhanced nilpotent cone via quiver representations



Cites Work

  • Orbit closures in the enhanced nilpotent cone
  • An exotic Deligne-Langlands correspondence for symplectic groups.
  • Trigonometric sums, Green functions of finite groups and representations of Weyl groups
  • Fourier transform, parabolic induction, and nilpotent orbits
  • On the springer representations of the weyl groups of classical algebraic groups


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