A universal enveloping for L-infinity algebras
Representation Theory
2007-06-12 v1 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.0706.1396,
title = {A universal enveloping for L-infinity algebras},
author = {Vladimir Baranovsky},
journal= {arXiv preprint arXiv:0706.1396},
year = {2007}
}