2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58802In this note we give a definition of semiinfinite cohomology for Tate Lie algebras using the language of Differential Graded Lie algebroids with Curvature (CDG Lie algebroids).5 pages, AMSLaTeXQuantum Algebratext