Nondegeneracy of the Lie algebra \(\text{aff}(n)\).

DOI10.1016/S1631-073X(02)02599-2zbMath1033.17023arXivmath/0208036OpenAlexW1855123687WikidataQ115337239 ScholiaQ115337239MaRDI QIDQ1565927

Jean-Paul Dufour, Nguyen Tien Zung

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208036

zbMATH Keywords

linearizationPoisson structurenondegeneracyLie algebra of affine transformations

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Related Items (6)

Rigidity of Poisson structures ⋮ A geometric approach to Conn's linearization theorem ⋮ KV-COHOMOLOGY OF KOSZUL–VINBERG ALGEBROIDS AND POISSON MANIFOLDS ⋮ Lie bialgebras of complex type and associated Poisson Lie groups ⋮ Linearization of Poisson brackets ⋮ On sufficient and necessary conditions for linearity of the transverse Poisson structure

Cites Work

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• The local structure of Poisson manifolds
• Normal forms for analytic Poisson structures
• Linéarisation de certaines structures de Poisson. (Linearization of certain Poisson structures)
• Normal forms for smooth Poisson structures
• A new family of nondegenerate Lie algebras
• Normalisation formelle de structures de Poisson

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