2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77844The symmetric Macdonald polynomials are able to be constructed out of the non-symmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their non-symmetric counterparts. In taking this approach we are able to obtain new results as well as simpler and more accessible derivations of a number of the known fundamental properties of both kinds of polynomials.AMS-Latex, 24 pagesQuantum Algebra33D99text