The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures

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dc.creatorde Azcarraga, J. A.
dc.creatorPerelomov, A. M.
dc.creatorBueno, J. C. Perez
dc.date1996-05-09
dc.date1996-10-11
dc.date.accessioned2026-07-07T10:58:44Z
dc.date.available2026-07-07T10:58:44Z
dc.descriptionNewly introduced generalized Poisson structures based on suitable skew-symmetric contravariant tensors of even order are discussed in terms of the Schouten-Nijenhuis bracket. The associated `Jacobi identities' are expressed as conditions on these tensors, the cohomological contents of which is given. In particular, we determine the linear generalized Poisson structures which can be constructed on the dual spaces of simple Lie algebras.
dc.description29 pages. Plain TeX. Phyzzx needed. An example and some references added. To appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-th/9605067
dc.identifierhttp://arxiv.org/abs/hep-th/9605067
dc.identifierJ.Phys.A29:7993-8010,1996
dc.identifierdoi:10.1088/0305-4470/29/24/023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187204
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.titleThe Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures
dc.typetext

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