Point stabilisers for the enhanced and exotic nilpotent cones

Details Point stabilisers for the enhanced and exotic nilpotent cones Point stabilisers for the enhanced and exotic nilpotent cones

2009-09-02

arxiv.org/abs/0909.0356v3

Journal of Group Theory. Volume 14, Issue 6, Pages 825-839, November 2011

Mathematics

Group Theory

25 pages->13 pages, presentation simplified. Title altered. To appear in Journal of Group Theory

Scientific paper

10.1515/JGT.2010.080

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. This is in accordance
with a recent conjecture of Achar and Henderson.

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