A Plethysm formula on the characteristic map of induced linear characters from Un(Fq) to GLn(Fq)

This paper gives a plethysm formula on the characteristic map of the induced linear characters from the unipotent upper-triangular matrices U-n(F-q) to GL(n)(F-q), the general linear group over finite field Fq. The result turns out to be a multiple of a twisted version of the Hall-Littlewood symmetric functions (P) over tilde (n)[Y; q]. A recurrence relation is also given which makes it easy to carry out the computation.