%0 Journal Article
%T A universal enveloping for L-infinity algebras
%A Vladimir Baranovsky
%J Mathematics
%D 2007
%I arXiv
%X For 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.
%U http://arxiv.org/abs/0706.1396v1