The Poincaré-Dulac theorem for nonlinear representations of nilpotent Lie algebras (Q2266109)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Poincaré-Dulac theorem for nonlinear representations of nilpotent Lie algebras |
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The Poincaré-Dulac theorem for nonlinear representations of nilpotent Lie algebras (English)
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1984
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The authors prove (''nonlinear Poincaré-Dulac theorem''): A nonlinear, holomorphic representation of a complex nilpotent Lie algebra which satisfies the Poincaré condition (0 does not belong to the convex hull of the weights of its linear part) is holomorphically equivalent to a polynomial representation. Several consequences and applications are given.
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nonlinear representation
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nonlinear Poincaré-Dulac theorem
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complex nilpotent Lie algebra
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polynomial representation
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