A universal enveloping for L-infinity algebras

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dc.creatorBaranovsky, Vladimir
dc.date2007-06-11
dc.date.accessioned2026-07-07T08:04:52Z
dc.date.available2026-07-07T08:04:52Z
dc.descriptionFor 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.
dc.identifierhttps://arxiv.org/abs/0706.1396
dc.identifierhttp://arxiv.org/abs/0706.1396
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130120
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject17B35, 18D50
dc.titleA universal enveloping for L-infinity algebras
dc.typetext

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