The project aims to understand the twisted Jacquet module of irreducible representations of the group GL(2n) over finite and p-adic fields. It will study problems such as calculating the structure of a cuspidal representation of GL(6), calculating the dimension formula for irreducible cuspidal representations of GL(2n), and calculating the dimension formula for irreducible cuspidal representations of GL(mn). The study aims to provide insights for formulating conjectures in finite and p-adic fields.