The Poincaré-Dulac theorem for nonlinear representations of nilpotent Lie algebras

DOI10.1007/BF00400976zbMath0559.17006MaRDI QIDQ2266109

Mabrouk Ben Ammar, Georges Pinczon, Didier Arnal

Publication date: 1984

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear representationpolynomial representationcomplex nilpotent Lie algebranonlinear Poincaré-Dulac theorem

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Solvable, nilpotent (super)algebras (17B30)

Related Items

The Benjamin-Ono equation recursivity of linearization maps - Lax pairs, Resonant bifurcations, Normalisation d'une représentation non linéaire d'une algèbre de Lie

Cites Work

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• Nonlinear representations of connected nilpotent real Lie groups
• Non linear representations of Lie groups
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point