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arXiv · 0706.1396

A universal enveloping for L-infinity algebras

Vladimir Baranovsky
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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.

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BibTeXRIS

Vladimir Baranovsky. 2007-06-11. A universal enveloping for L-infinity algebras. https://arxiv.org/abs/0706.1396

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