Unimodular L-infinity algebras

dc.creatorGranåker, Johan
dc.date2008-03-12
dc.date.accessioned2026-07-07T09:26:24Z
dc.date.available2026-07-07T09:26:24Z
dc.descriptionWe give a new short proof that the wheeled operad of unimodular Lie algebras is Koszul and use this to explicitly construct its minimal resolution. A representation of this resolution in a finite dimensional vector space V we call a unimodular L-infinity algebra. Such a structure corresponds to a homological vector field on V together with an invariant measure. We present explicit formulae for homotopy transferred structures, define the deformation complex and give a cohomological obstruction to the extension of an arbitrary structure of finite dimensional L-infinity algebra to a structure of unimodular L-infinity algebra.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0803.1763
dc.identifierhttp://arxiv.org/abs/0803.1763
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156740
dc.subjectQuantum Algebra
dc.titleUnimodular L-infinity algebras
dc.typetext

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