2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76026We study the crystal base of the negative part of a quantum group. Two explicit descriptions of the crystal $B(\infty)$ for types $G_2$ are given. The first is given in terms of extended Nakajima monomials and the second realization follows a similar result given for other finite types by Cliff.18 pagesQuantum Algebra17B37; 17B67; 81R50Descriptions of the crystal $B(\infty)$ for $G_2$text