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Point stabilisers for the enhanced and exotic nilpotent cones
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Michael Sun
Published/Copyright:
March 15, 2011
Abstract
We give a semi-direct product decomposition of the point stabilisers for the enhanced and exotic nilpotent cones. In particular, we arrive at formulas for the number of points in each orbit over a finite field, which is in accordance with a recent conjecture of Achar and Henderson.
Received: 2010-04-12
Published Online: 2011-03-15
Published in Print: 2011-November
© de Gruyter 2011
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- Closed normal subgroups of free pro-S-groups of finite rank
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- The number of conjugacy classes in pattern groups is not a polynomial function
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Articles in the same Issue
- Remarks on chains of weakly closed subgroups
- Closed normal subgroups of free pro-S-groups of finite rank
- Point stabilisers for the enhanced and exotic nilpotent cones
- The number of conjugacy classes in pattern groups is not a polynomial function
- On finite T-groups and the Wielandt subgroup
- A direct product coming from a particular set of character degrees
- Centralizers in Ã2 groups
- On centralizers of parabolic subgroups in Coxeter groups
- Local splitting of locally compact groups and pro-Lie groups
- Cylindric embeddings of Cayley graphs
- Compactifications of a representation variety
