2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120858We shall realize certain affine geometric crystal of type $G^{(1)}_2$ explicitly in the fundamental representation $W(\varpi_1)$. Its explicit form is rather complicated but still keeps a positive structure.14 pagesQuantum AlgebraRepresentation Theory17B37;17B67text