On explicit computation of Curtis homomorphisms for $GL(n,{\mathbb{F}}_q)$

In this note we give explicit computations of certain types of Curtis homomorphisms and interpret them in terms of Gelfand-Tsetlin diagrams. Namely, this interpretation follows from Gelfand-Tsetlin formulas for the $GL(n,{\mathbb{F}}_q)$-Whittaker functions associated with principal series representations via exploiting the method in arXiv:0705.2886 for GL(n,\mathbb{})$-Whittakerfunctions\mathrm{.}TheexplicitcomputationsofWhittakerfunctionsarebasedoncomputingtheGauss-Bruhatdecompositionforcertainelementsin$GL(n,$\mathbb{F}$_q)$.