Rationality of extended unipotent characters
Representation Theory
2024-02-16 v1 Group Theory
Abstract
We determine the rationality properties of unipotent characters of finite reductive groups arising as fixed points of disconnected reductive groups under a Frobenius map. In the proof we use realisations of characters in -adic cohomology groups of Deligne--Lusztig varieties as well as block theoretic considerations.
Keywords
Cite
@article{arxiv.2402.09960,
title = {Rationality of extended unipotent characters},
author = {Olivier Dudas and Gunter Malle},
journal= {arXiv preprint arXiv:2402.09960},
year = {2024}
}