Narrow Results

The aim of this paper is to define and to construct some ∞-Lie functors from two categories of anchored modules which admit linear connections to the corresponding categories of Lie pseudoalgebras; the isomorphism class of the Lie pseudoalgebra does not depend on the linear connection or on the corresponding bracket. In the particular case of a module, the ∞-Lie algebra is isomorphic with the free Lie algebra of the module in Bourbaki's sense.