2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69102We construct a canonical basis for quantum generalized Kac-Moody algebra via semisimple perverse sheaves on varieties of representations of quivers. We compare this basis with the one recently defined purely algebraically by Jeong, Kang and Kashiwara.18 pages LatexQuantum Algebratext