Cohomologie de Chevalley des graphes vectoriels

dc.creatorAloulou, Walid
dc.creatorArnal, Didier
dc.creatorChatbouri, Ridha
dc.date2005-07-04
dc.date.accessioned2026-07-07T05:21:22Z
dc.date.available2026-07-07T05:21:22Z
dc.descriptionThe space of smotth functions and vector fields on $\R^d$ is a Lie subalgebra of the (graded) Lie algebra $T\_{poly}(\R^d)$, equipped with the Scouten bracket. In this paper, we compute the cohomology of this subalgebra for the adjoint representation in $T\_{poly}(\R^d)$, restricting ourselves to the case of cochains defined with purely aerial Kontsevich's graphs, as in [AGM]. We find results which are very similar to the classical Gelfand-Fuchs and de Wilde-Lecomte one.
dc.identifierhttps://arxiv.org/abs/math/0507058
dc.identifierhttp://arxiv.org/abs/math/0507058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75664
dc.subjectQuantum Algebra
dc.subject53D55 ; 17B56 ; 05Cxx
dc.titleCohomologie de Chevalley des graphes vectoriels
dc.typetext

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