Nilpotent orbits: finiteness, separability and Howe's conjecture
Representation Theory
2015-09-14 v1 Algebraic Geometry
Abstract
This paper is about nilpotent orbits of reductive groups over local non-Archimedean fields. In this paper we will try to identify for which groups there are only finitely many nilpotent orbits, for which groups the nilpotent orbits are separable and for which groups Howe's conjecture holds. For general reductive groups we get some partial results. For split reductive groups we get a classification in terms of the root data and the characteristic of the underlying local field.
Cite
@article{arxiv.1509.03128,
title = {Nilpotent orbits: finiteness, separability and Howe's conjecture},
author = {Julius Witte},
journal= {arXiv preprint arXiv:1509.03128},
year = {2015}
}
Comments
43 pages