Article ID Journal Published Year Pages File Type
4588359 Journal of Algebra 2007 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory