Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588359 | Journal of Algebra | 2007 | 9 Pages |
Abstract
Let G be a complex algebraic group and let X=SpecR be an affine G-variety. Let φ be a G-endomorphism of X which induces an automorphism of the invariant subring RG. We show that φ is a G-automorphism when G is unipotent and X is factorial. When G is reductive, we give some conditions under which φ is a G-automorphism.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory