A construction of pseudo-reductive groups with non-reduced root system
Group Theory
2024-01-09 v2
Abstract
We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type ; these exist only in characteristic . We also give a formula for the dimensions of their irreducible modules.
Cite
@article{arxiv.2205.00800,
title = {A construction of pseudo-reductive groups with non-reduced root system},
author = {Michael Bate and Gerhard Röhrle and Damian Sercombe and David I. Stewart},
journal= {arXiv preprint arXiv:2205.00800},
year = {2024}
}
Comments
22 pages; version accepted for publication in Transformation Groups; appendix added to show an alternative approach using a significant theorem in Conrad--Gabber--Prasad