2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59249We construct a geometric version of BRST cohomology complex of a chiral module over a Lie-* algebra using the language of differential graded Lie algebroids in the category of D-modules on a compact curve $X$.13 pages, AMS LaTeXAlgebraic GeometrySemiinfinite cohomology of Lie-* algebrastext