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Nonlinearizable actions of commutative reductive groups

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Abstract

We generalize a construction of Freudenburg and Moser-Jauslin in order to obtain an example of a nonlinearizable action of a commutative reductive group on the affine space for every field k of characteristic zero which admits a quadratic extension.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Bayreuth, Universitätsstraße 30, D-95447, Bayreuth, Germany

    Jörg Winkelmann

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  1. Jörg Winkelmann
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Correspondence to Jörg Winkelmann.

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Supported by DFG Forschergruppe 790.

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Winkelmann, J. Nonlinearizable actions of commutative reductive groups. Transformation Groups 14, 483–491 (2009). https://doi.org/10.1007/s00031-009-9053-1

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  • DOI: https://doi.org/10.1007/s00031-009-9053-1

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