RT Journal Article
T1 The Milnor-Moore theorem for L∞ algebras in rational homotopy theory
A1 Moreno-Fernández, José Manuel
K1 Algebra universal
AB 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
PB Springer
YR 2021
FD 2021-09-20
LK https://hdl.handle.net/10630/24032
UL https://hdl.handle.net/10630/24032
LA eng
NO 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
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. charged to the Universidad de Málaga/CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 25 ene 2026