Algèbres de Poisson et algèbres de Lie résolubles

dc.creatorTauvel, Patrice
dc.creatorYu, Rupert W. T
dc.date2007-02-21
dc.date.accessioned2026-07-07T07:48:02Z
dc.date.available2026-07-07T07:48:02Z
dc.descriptionLet $\mathfrak{g}$ be a solvable Lie algebra and $Q$ an $ad \mathfrak{g}$-stable prime ideal of the symmetric algebra $S(\mathfrak{g})$ of $\mathfrak{g}$. If $E$ is the set of non zero elements of $S(\mathfrak{g})/Q$ which are eigenvectors for the adjoint action of $\mathfrak{g}$ in $S(\mathfrak{g})/Q$, the localised algebra $(S(\mathfrak{g})/Q)_{E}$ has a natural structure of Poisson algebra. We study this algebra here.
dc.descriptionThis paper is in french
dc.identifierhttps://arxiv.org/abs/math/0702615
dc.identifierhttp://arxiv.org/abs/math/0702615
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124363
dc.subjectRings and Algebras
dc.subject17B63
dc.titleAlgèbres de Poisson et algèbres de Lie résolubles
dc.typetext

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