2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70589We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which ``controls'' deformations of the structure bracket of the algebroid. We also have a closer look at various special cases such as Lie algebras, Poisson manifolds, foliations, Lie algebra actions on manifolds.17 pages, Revised version: small corrections, more references addedDifferential GeometryMathematical PhysicsAlgebraic Topologytext