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arXiv · 0909.0356

Point stabilisers for the enhanced and exotic nilpotent cones

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

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Michael Yuan Sun. 2010-11-17. Point stabilisers for the enhanced and exotic nilpotent cones. https://doi.org/10.1515/jgt.2010.080

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