Formal normalization for Poisson structures

Aïssa Wade

doi:10.1016/S0764-4442(99)80385-1

Formal normalization for Poisson structures

Aïssa Wade

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

For any Poisson structure vanishing at a point, we give a local formal normal form which arises from the Levi decomposition of the dual of its linear approximation. So, we generalize the result of Weinstein which says that singular Poisson structures with linear approximation having a semi-simple dual, are formally linearizable.

Original language	English (US)
Pages (from-to)	531-536
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	324
Issue number	5
DOIs	https://doi.org/10.1016/S0764-4442(99)80385-1
State	Published - Mar 1997

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S0764-4442(99)80385-1

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title = "Formal normalization for Poisson structures",

abstract = "For any Poisson structure vanishing at a point, we give a local formal normal form which arises from the Levi decomposition of the dual of its linear approximation. So, we generalize the result of Weinstein which says that singular Poisson structures with linear approximation having a semi-simple dual, are formally linearizable.",

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AB - For any Poisson structure vanishing at a point, we give a local formal normal form which arises from the Levi decomposition of the dual of its linear approximation. So, we generalize the result of Weinstein which says that singular Poisson structures with linear approximation having a semi-simple dual, are formally linearizable.

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SN - 0764-4442

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 5

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Formal normalization for Poisson structures

Abstract

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