Towards the inductive McKay--Navarro Condition for groups of Lie type
Representation Theory
2025-06-23 v1 Group Theory
Abstract
We gather tools for proving the inductive McKay--Navarro (or Galois--McKay) condition for groups of Lie type and odd primes. We use this to establish a bijection in the case of quasisimple groups of Lie type A satisfying the equivariance properties needed for the condition. We also prove the inductive conditions for the subset of unipotent characters.
Keywords
Cite
@article{arxiv.2506.17123,
title = {Towards the inductive McKay--Navarro Condition for groups of Lie type},
author = {Lucas Ruhstorfer and A. A. Schaeffer Fry and Britta Späth and Jay Taylor},
journal= {arXiv preprint arXiv:2506.17123},
year = {2025}
}