Normalisation d'une représentation non linéaire d'une algèbre de Lie

DOI10.5802/afst.664zbMath0683.17007OpenAlexW2332991675MaRDI QIDQ4732593

Mabrouk Ben Ammar, Didier Arnal, Mohamed Selmi

Publication date: 1988

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1988_5_9_3_355_0

zbMATH Keywords

normal formcomplex Lie algebranonlinear formal representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (2)

On 𝔬𝔰𝔭(1|2)-relative cohomology of the Lie superalgebra of contact vector fields on ℝ1|1 ⋮ COHOMOLOGY OF 𝔬𝔰𝔭(1|2) ACTING ON THE SPACE OF BILINEAR DIFFERENTIAL OPERATORS ON THE SUPERSPACE ℝ^1|1

Cites Work

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• Nonlinear representations of connected nilpotent real Lie groups
• Smooth linearization of germs of \(\mathbb{R}^2\)-actions and holomorphic vector fields
• Linearization of families of vector fields
• The Poincaré-Dulac theorem for nonlinear representations of nilpotent Lie algebras
• Cohomology of Lie algebras
• Non linear representations of Lie groups
• The Formal Linearization of a Semisimple Lie Algebra of Vector Fields about a Singular Point
• Remarks on a Paper of Hermann
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point

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