Separating invariants for the basic G_a-actions

Details Separating invariants for the basic G_a-actions Separating invariants for the basic G_a-actions

2010-11-09

arxiv.org/abs/1011.2169v1

Mathematics

Commutative Algebra

10 pages

Scientific paper

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 Weitzenb\"ock derivation $D_{n}=x_{0}\frac{\partial}{\partial{x_{1}}}+...+ x_{n-1}\frac{\partial}{\partial{x_{n}}}$.

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