2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68341In this paper, we give a new realization of crystal bases for irreducible highest weight modules over $U_q(G_2)$ in terms of monomials. We also discuss the natural connection between the monomial realization and tableau realization.14 pagesQuantum AlgebraRepresentation TheoryCrystal bases and monomials for $U_q(G_2)$-modulestext