Towards the inductive McKay--Navarro Condition for groups of Lie type

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.