2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130120For any L-infinity algebra L, we construct an A-infinity structure on the space of symmetric tensors Sym*(L), which generalizes the classical universal enveloping for Lie algebras. Our construction is based on an invariant homotopy on a cobar construction of the symmetric coalgebra, which is obtained through its relation with permutahedra and Young tableaux.Representation TheoryRings and Algebras17B35, 18D50text