2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199726We give two explicit construction for the carrier space for the Schwinger representation of the group $S_n$. While the first relies on a class of functions consisting of monomials in antisymmetric variables, the second is based on the Fock space associated with the Greenberg algebra.Latex, 6 pagesQuantum PhysicsSchwinger Representation for the Symmetric Group: Two explicit constructions for the Carrier Spacetext