Non-associative algebras associated to Poisson algebras

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dc.creatorGoze, Michel
dc.creatorRemm, Elisabeth
dc.date2006-02-11
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:20Z
dc.date.available2026-07-07T08:27:20Z
dc.descriptionPoisson algebra is usually defined to be a commutative algebra together with a Lie bracket, and these operations are required to satisfy the Leibniz rule. We describe Poisson structures in terms of a single bilinear operation. This enables us to explore Poisson algebras in the realm of non-associative algebras. We study their algebraic and cohomological properties, their deformations as non-associative algebras, and give a classification in low dimensions
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0602246
dc.identifierhttp://arxiv.org/abs/math/0602246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137238
dc.subjectRings and Algebras
dc.subjectDifferential Geometry
dc.subject17B63 ; 17D25
dc.titleNon-associative algebras associated to Poisson algebras
dc.typetext

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