A Casselman–Shalika Formula for the Shalika Model of <i>GL</i><sub><i>n</i></sub>
A Casselman–Shalika Formula for the Shalika Model of <i>GL</i><sub><i>n</i></sub>
Abstract The Casselman–Shalika method is a way to compute explicit formulas for periods of irreducible unramified representations of p -adic groups that are associated to unique models ( i.e., multiplicity-free induced representations). We apply this method to the case of the Shalika model of GL n , which is known …