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A new family of nondegenerate Lie algebras - MaRDI portal

A new family of nondegenerate Lie algebras (Q1901422)

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scientific article; zbMATH DE number 816061
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A new family of nondegenerate Lie algebras
scientific article; zbMATH DE number 816061

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    A new family of nondegenerate Lie algebras (English)
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    4 August 1996
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    The authors prove that the product of \(n\) copies of the nontrivial two-dimensional Lie algebra is nondegenerate, the definition of `nondegenerate' being that every Poisson structure admitting the Lie algebra as linear part (at a singular point) is linearizable.
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    nondegenerate Lie algebra
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    Poisson structure
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