Coisotropic representations of reductive groups (Q2841120)

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scientific article; zbMATH DE number 6190637
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English
Coisotropic representations of reductive groups
scientific article; zbMATH DE number 6190637

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    Coisotropic representations of reductive groups (English)
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    24 July 2013
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    reductive group
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    representation
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    variety
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    co-isotropic submanifold
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    The author classifies the so-called co-isotropic linear actions of a reductive group on a symplectic vector space, that is, actions for which a generic orbit is co-isotropic. In fact, the author describes all ``basic'' co-isotropic actions from which all other co-isotropic actions can be easily constructed. The result is presented in the form of several tables listing various classes of co-isotropic actions.
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