Low-dimensional representations of finite orthogonal groups
Representation Theory
2023-06-22 v1 Group Theory
Abstract
We determine the smallest irreducible Brauer characters for finite quasi-simple orthogonal type groups in non-defining characteristic. Under some restrictions on the characteristic we also prove a gap result showing that the next larger irreducible Brauer characters have a degree roughly the square of those of the smallest non-trivial characters.
Cite
@article{arxiv.1905.08960,
title = {Low-dimensional representations of finite orthogonal groups},
author = {Kay Magaard and Gunter Malle},
journal= {arXiv preprint arXiv:1905.08960},
year = {2023}
}