2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227102We show that the Weil representation of the symplectic group Sp(2n,F), where F is a non-archimedian local field, can be realized over the field obtained from the rationals by adjoining the square roots of p and -p, where p is the residue characteristic of F; p is assumed to be odd.Representation TheoryNumber Theorytext