Extensions of unipotent characters and the inductive McKay condition

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Characters of odd degree (2015, methodology): “In the ﬁrst case, λ = 1 since W acts ﬁxed point freely on Irr( T ) and so χ is unipotent, in which case the statement is an easy consequence of [Mal08a, Thm. 2.4].”
Equivariant character correspondences and inductive McKay condition for type A (2013, methodology): “at according to [Sp¨a12a, 1.1] we can assume that ℓ ∤ q. We may also assume n ≥ 3, thanks to [IMN07, §15]. Note that if moreover ℓ = n = 3 and ǫq≡ 2,5 mod 9, then our claim is given by Theorem 3.2 of [M08a]. So we may assume the hypotheses of Lemma 7.1. According to Lemma 7.1, the assumptions from T”