The Milnor-Moore theorem for L∞ algebras in rational homotopy theory
-
Fecha
2021-09-20 -
Editorial/Editor
Springer -
Palabras clave
Algebra universal -
Resumen
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 -