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The Milnor-Moore theorem for L∞ algebras in rational homotopy theory Moreno-Fernández, José Manuel Algebra universal We give a construction of the universal enveloping A∞ algebra of a given L∞ algebra, alternative to the already existing versions. As applications, we derive a higher homotopy algebras version of the classical Milnor-Moore theorem. This proposes a new A∞ model for simply connected rational homotopy types, and uncovers a relationship between the higher order rational Whitehead products in homotopy groups and the Pontryagin-Massey products in the rational loop space homology algebra 2022-05-04T11:32:02Z 2022-05-04T11:32:02Z 2021-09-20 journal article Moreno Fernández, J.M. The Milnor-Moore theorem for L∞ algebras in rational homotopy theory. Math. Z. 300, 2147–2165 (2022). https://doi.org/10.1007/s00209-021-02838-z https://hdl.handle.net/10630/24032 10.1007/s00209-021-02838-z eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer