A new family of nondegenerate Lie algebras

DOI10.1016/0019-3577(95)98201-LzbMath0842.58023MaRDI QIDQ1901422

J.-Ch. Molinier, Jean-Paul Dufour

Publication date: 4 August 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Poisson structurenondegenerate Lie algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (2)

Nondegeneracy of the Lie algebra \(\text{aff}(n)\). ⋮ Modèles locaux de structures de Poisson singulières en dimension 3

Cites Work

• The local structure of Poisson manifolds
• Normal forms for analytic Poisson structures
• Linéarisation de certaines structures de Poisson. (Linearization of certain Poisson structures)
• Poisson geometry of the principal series and nonlinearizable structures
• Normal forms for smooth Poisson structures
• On the solutions of analytic equations
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