Overgroups of regular unipotent elements in simple algebraic groups
Group Theory
2020-06-22 v1 Representation Theory
Abstract
We investigate positive-dimensional closed reductive subgroups of almost simple algebraic groups containing a regular unipotent element. Our main result states that such subgroups do not lie inside proper parabolic subgroups unless possibly when their connected component is a torus. This extends the earlier result of Testerman and Zalesski treating connected reductive subgroups.
Cite
@article{arxiv.2006.10812,
title = {Overgroups of regular unipotent elements in simple algebraic groups},
author = {Gunter Malle and Donna M. Testerman},
journal= {arXiv preprint arXiv:2006.10812},
year = {2020}
}