2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164825In this paper,we compute tensor structure of BRST differential and use this tensor representation we give out $CL_{\infty}$ algebra differential and $GA_{\infty}$ differential which are generalization of Chevalley-Eilenberg differential and Hochchild differential respectively.Quantum AlgebraMathematical Physics81R99text