2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74858The Weyl integration model presented by An and Wang can be effectively used to reduce the integration over $G$-space. In this paper, we construct an especial Weyl integration model for KAK decomposition of Reductive Lie Group and obtain an integration formula which implies that the integration of $L^1$-integrable function over reductive Lie group $G$ can be carried out by first integrating over each conjugacy class and then integrating over the set of conjugacy classes.10 pagesGroup Theory22E15; 58C35text