Triangular actions onC
3 |
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| Authors: | Dennis M Snow |
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| Institution: | (1) Department of Mathematics, University of Notre Dame, 46556 Notre Dame, IN |
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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.Partially supported by NSF grant DMS 8420315 |
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| Keywords: | |
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