On the Alperin-McKay conjecture for simple groups of type $\mathrm{A}$

Julian Brough, Britta Späth

In this paper characters of the normaliser of $d$-split Levi subgroups in ${\mathrm{SL}}_n(q)$ and ${\mathrm{SU}}_n(q)$ are parametrized with a particular focus on the Clifford theor…