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Triangular actions onC 3

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Abstract

Free algebraic actions of a connected algebraic groupG onC 3 which can be triangularized are shown to be trivial, that isC 3 is equivariantly isomorphic toGxC 3−dimG. This result follows directly from the case of the additive groupG=G a and is shown to hold for quasi-algebraic actions as well. Connections with the classification of homogeneous affine varieties are discussed.

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  1. Department of Mathematics, University of Notre Dame, 46556, Notre Dame, IN

    Dennis M. Snow

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  1. Dennis M. Snow
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Partially supported by NSF grant DMS 8420315

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Snow, D.M. Triangular actions onC 3 . Manuscripta Math 60, 407–415 (1988). https://doi.org/10.1007/BF01258660

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  • DOI: https://doi.org/10.1007/BF01258660

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