Lie-admissible algebras and operads

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dc.creatorGoze, Michel
dc.creatorRemm, Elisabeth
dc.date2002-10-18
dc.date.accessioned2026-07-07T04:52:07Z
dc.date.available2026-07-07T04:52:07Z
dc.descriptionA Lie-admissible algebra gives by anticommutativity a Lie algebra. In this work we study remarkable classes of Lie-admissible algebras such as Vinberg, PreLie algebras. We compute the corresponding binary quadratic operads and study their Koszul duality. Considering Lie algebras as Lie-admissible algebras we can define for each Lie algebra a cohomology with values in a Lie-admissible module. This permits to study some deformations of Lie algebras in the category of Lie-admissible algebras. Lastly we study the tensor product between these operads and their dual operads. As application we construct new classes of Vinberg algebras.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0210291
dc.identifierhttp://arxiv.org/abs/math/0210291
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65351
dc.subjectRings and Algebras
dc.subjectCategory Theory
dc.subjectDifferential Geometry
dc.subjectLie-admissible algebras. Vinberg algebras. PreLie algebras. Operads. Cohomology
dc.titleLie-admissible algebras and operads
dc.typetext

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