2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70255This paper describes a family of Hecke algebras H_μ=End_G(Ind_U^G(ψ_μ)), where U is the subgroup of unipotent upper-triangular matrices of G=GL_n(F_q) and ψ_μis a linear character of U. The main results combinatorially index a basis of H_μ, provide a large commutative subalgebra of H_μ, and after describing the combinatorics associated with the representation theory of H_μ, generalize the RSK correspondence that is typically found in the representation theory of the symmetric group.21 pagesCombinatoricsGroup Theory20C08 (primary) 05E10 (secondary)text