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On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras - MaRDI portal

On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras (Q1910160)

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scientific article; zbMATH DE number 861912
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On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras
scientific article; zbMATH DE number 861912

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    On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras (English)
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    26 June 1996
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    Using Nahm's equations, we extend Kronheimer's construction of hyperkähler metrics to all coadjoint orbits of a complex semisimple Lie group and more generally to symplectic leaves of holomorphic Poisson manifolds associated to the group.
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    Nahm's equations
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    Kronheimer's construction of hyperkähler metrics
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    coadjoint orbits
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    complex semisimple Lie group
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    symplectic leaves
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    holomorphic Poisson manifolds
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