Invariant Theory of Finite Groups
Invariant Theory of Finite Groups
Invariant Theory of Finite Groups
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<strong>Invariant</strong> <strong>Theory</strong> <strong>of</strong> <strong>Finite</strong> <strong>Groups</strong> – p. 15/2Noether’s normalization theoremLet R be N 0 -graded affine algebra, with R 0 = F (e.g. R = A G ).For h 1 , · · · ,h d ∈ R + homogeneous t.f.a.e.:1. dim F (R/(h 1 , · · · ,h d )R) < ∞ with d minimal;2. P = F[h 1 , · · · ,h d ] is polynomial subring, such that the modulePR is finitely generated.
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