A universal enveloping for L-infinity algebras

Details A universal enveloping for L-infinity algebras A universal enveloping for L-infinity algebras

2007-06-11

arxiv.org/abs/0706.1396v1

Mathematics

Representation Theory

Scientific paper

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.

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