Nondegenerate Lie algebras

DOI10.1007/BF02362634zbMath0886.58041OpenAlexW2093230768MaRDI QIDQ1356284

Jean-Paul Dufour

Publication date: 6 January 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02362634

zbMATH Keywords

Poisson structure\(C^ \infty\)-nondegenerate Lie algebraanalytically nondegenerate Lie algebraformally nondegenerate Lie algebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Identities, free Lie (super)algebras (17B01) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20)

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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