2 papers
math.RT2025
Towards the inductive McKay--Navarro Condition for groups of Lie type
Lucas Ruhstorfer, A. A. Schaeffer Fry, Britta Späth +1
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 qua…
math.GR2023
Galois automorphisms and a unique Jordan decomposition in the case of connected centralizer
A. A. Schaeffer Fry, Jay Taylor, C. Ryan Vinroot
We show that the Jordan decomposition of characters of finite reductive groups can be chosen so that if the centralizer of the relevant semisimple element in the dual group is conn…