2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129720We describe explicitly the whole structures of the $(g,K)$-modules of principal series representations of $Sp(3,R)$. We apply this result to determine the holonomic system characterizing those Whittaker functions.100 pagesRepresentation TheoryNumber Theory22E46;11F70The $(g,K)$-module structures of principal series representations of $Sp(3,R)$text