Point stabilisers for the enhanced and exotic nilpotent cones

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.

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

References in corpus (2)

• Orbit closures in the enhanced nilpotent cone
• An exotic Deligne-Langlands correspondence for symplectic groups

Cited by in corpus (1)

• Equivariant coherent sheaves on the exotic nilpotent cone