Separating invariants for the basic G_a-actions

Abstract

We explicitly construct a finite set of separating invariants for the basic $\Ga$-actions. These are the finite dimensional indecomposable rational linear representations of the additive group $\Ga$ of a field of characteristic zero, and their invariants are the kernel of the Weitzenböck derivation $D_n=x_0\frac{\partial }{\partial x_1}+...+x_{n-1}\frac{\partial }{\partial x_n}$.

10 pages

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