Point stabilisers for the enhanced and exotic nilpotent cones
Group Theory
2011-11-22 v3 Representation Theory
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.
Keywords
Cite
@article{arxiv.0909.0356,
title = {Point stabilisers for the enhanced and exotic nilpotent cones},
author = {Michael Yuan Sun},
journal= {arXiv preprint arXiv:0909.0356},
year = {2011}
}
Comments
25 pages->13 pages, presentation simplified. Title altered. To appear in Journal of Group Theory